P. Kevrekidis

P. Kevrekidis, Haitao Xu, J. Cuevas-Maraver, 2017, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Kink-antikink collisions and multi-bounce resonance windows in higher-order field theories

Ivan C. Christov, P. G. Kevrekidis, Avadh Saxena, 2020, Commun. Nonlinear Sci. Numer. Simul..

Long-range interactions of kinks

Robert J. Decker, I. Christov, P. Kevrekidis, 2018, Physical Review D.

Characteristics of two-dimensional quantum turbulence in a compressible superfluid.

Ashton S. Bradley, K. Law, E. Wright, 2012, Physical review letters.

Statistical mechanics of one-dimensional quantum droplets

P. Kevrekidis, P. Schmelcher, S. Mistakidis, 2021, Physical Review A.

Weakly Nonlinear Analysis of Vortex Formation in a Dissipative Variant of the Gross-Pitaevskii Equation

Panayotis G. Kevrekidis, Ricardo Carretero-González, J. C. Tzou, 2015, SIAM J. Appl. Dyn. Syst..

Compactons in discrete nonlinear Klein-Gordon models

Panayotis G. Kevrekidis, Vladimir V. Konotop, P. Kevrekidis, 2003, Math. Comput. Simul..

Dynamic and energetic stabilization of persistent currents in Bose-Einstein condensates

K. Law, P. Kevrekidis, R. Carretero-González, 2014, 1402.6007.

Neural networks enforcing physical symmetries in nonlinear dynamical lattices: The case example of the Ablowitz-Ladik model

P. Kevrekidis, E. Charalampidis, Wei Zhu, 2021, Physica D: Nonlinear Phenomena.

Interplay between parity-time symmetry, supersymmetry, and nonlinearity: An analytically tractable case example.

A. Khare, A. Saxena, P. Kevrekidis, 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

Rogue waves in nonlinear Schrödinger models with variable coefficients: Application to Bose–Einstein condensates

D. Frantzeskakis, P. Kevrekidis, Jingsong He, 2013, 1311.5497.

Vector solitons with an embedded domain wall.

B. Malomed, D. Frantzeskakis, P. Kevrekidis, 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

Backward-wave propagation and discrete solitons in a left-handed electrical lattice

G. P. Veldes, D. Frantzeskakis, P. Kevrekidis, 2011 .

Experimental and numerical observation of dark and bright breathers in the band gap of a diatomic electrical lattice.

P. Kevrekidis, L. English, J. Cuevas-Maraver, 2018, Physical review. E.

Bright breathers in nonlinear left-handed metamaterial lattices

G. P. Veldes, D. Frantzeskakis, P. Kevrekidis, 2017, 1703.09676.

From solitons to rogue waves in nonlinear left-handed metamaterials.

G. P. Veldes, D. Frantzeskakis, P. Kevrekidis, 2016, Physical review. E.

Nonlinear localized modes in two-dimensional electrical lattices.

P. Kevrekidis, R. Carretero-González, L. English, 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

Kink dynamics in a parametric ϕ6 system: a model with controllably many internal modes

A. Saxena, I. Christov, P. Kevrekidis, 2017, 1706.01193.

High Energy Density in Multisoliton Collisions

P. Kevrekidis, S. Dmitriev, D. Saadatmand, 2015, 1506.01389.

Four Decades of Kink Interactions in Nonlinear Klein-Gordon Models: A Crucial Typo, Recent Developments and the Challenges Ahead

Roy H. Goodman, P. Kevrekidis, 2019, 1909.03128.

Nonlinearity and Topology

A. Saxena, P. Kevrekidis, J. Cuevas-Maraver, 2020, 2001.10038.

Instabilities of a vortex-ring-bright soliton in trapped binary three-dimensional Bose-Einstein condensates

P. Kevrekidis, Wenlong Wang, C. Ticknor, 2021, Physical Review A.

Decay of two-dimensional quantum turbulence in binary Bose-Einstein condensates

P. Kevrekidis, K. Kasamatsu, T. Mithun, 2020, Physical Review A.

Generating functions, polynomials and vortices with alternating signs in Bose–Einstein condensates

P. G. Kevrekidis, Anna M. Barry, P. Kevrekidis, 2014, 1407.7965.

Collisions of Three-Component Vector Solitons in Bose-Einstein Condensates.

P. Kevrekidis, P. Kunkel, H. Strobel, 2020, Physical review letters.

Beating dark–dark solitons in Bose–Einstein condensates

P. G. Kevrekidis, D. J. Frantzeskakis, C. Hamner, 2012, 1202.2777.

Excited states in the large density limit: a variational approach

P. G. Kevrekidis, D. E. Pelinovsky, P. Kevrekidis, 2009, 0910.5249.

Dissipative shock waves generated by a quantum-mechanical piston

P. Engels, M. Hoefer, P. Kevrekidis, 2017, Nature Communications.

Soliton trains and vortex streets as a form of Cerenkov radiation in trapped Bose-Einstein condensates

Panayotis G. Kevrekidis, A. R. Bishop, Boris A. Malomed, 2007, Math. Comput. Simul..

Many-body effects on second-order phase transitions in spinor Bose-Einstein condensates and breathing dynamics

P. Kevrekidis, P. Schmelcher, S. Mistakidis, 2020, 2004.09303.

Dark-bright solitons in coupled nonlinear Schrödinger equations with unequal dispersion coefficients.

B. Malomed, D. Frantzeskakis, P. Kevrekidis, 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

Vector dark-antidark solitary waves in multicomponent Bose-Einstein condensates

P. Engels, P. Kevrekidis, I. Danaila, 2016, 1606.05607.

Ring dark solitons and vortex necklaces in Bose-Einstein condensates.

B. Malomed, D. Frantzeskakis, G. Theocharis, 2003, Physical review letters.

Dark solitons in discrete lattices: saturable versus cubic nonlinearities.

D. Frantzeskakis, P. Kevrekidis, H. Susanto, 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

Reduced dynamics for one and two dark soliton stripes in the defocusing nonlinear Schrödinger equation: A variational approach

L. A. Cisneros-Ake, P. Kevrekidis, R. Carretero-González, 2019, Physical Review Research.

Intrinsic localized modes in coupled DNLS equations from the anti-continuum limit

K. Li, P. G. Kevrekidis, H. Susanto, 2012, Math. Comput. Simul..

Soliton dynamics in linearly coupled discrete nonlinear Schrödinger equations

Panayotis G. Kevrekidis, Hector E. Nistazakis, Dimitri J. Frantzeskakis, 2009, Math. Comput. Simul..

Interlaced solitons and vortices in coupled DNLS lattices

H. Susanto, P. G. Kevrekidis, Q. E. Hoq, 2008, 0812.1301.

Domain-wall crosses and propellers in binary Bose-Einstein condensates

Panayotis G. Kevrekidis, Hector E. Nistazakis, Boris A. Malomed, 2005, Math. Comput. Simul..

Stability analysis of ground states in a one-dimensional trapped spin-1 Bose gas

P. G. Kevrekidis, C.-M. Schmied, T. Gasenzer, 2019, Commun. Nonlinear Sci. Numer. Simul..

Interactions of solitons with a Gaussian barrier: splitting and recombination in quasi-one-dimensional and three-dimensional settings

B. A. Malomed, P. G. Kevrekidis, B. Malomed, 2013, 1301.3959.

Scattering of atomic dark–bright solitons from narrow impurities

C. Hamner, J. Chang, P. Engels, 2012, 1210.6408.

Trapped bright matter-wave solitons in the presence of localized inhomogeneities

A. R. Bishop, B. A. Malomed, P. G. Kevrekidis, 2005, cond-mat/0503227.

Towards a reduced model for angiogenesis: A hybrid approach

Panayotis G. Kevrekidis, Deborah J. Good, Nathaniel Whitaker, 2005, Math. Comput. Model..

Dynamics of vortex formation in merging Bose-Einstein condensate fragments

D. Frantzeskakis, P. Kevrekidis, R. Carretero-González, 2007, 0711.0375.

Interaction of Excited States in Two-Species Bose-Einstein Condensates: A Case Study

Todd Kapitula, Panayotis G. Kevrekidis, Kody J. H. Law, 2010, SIAM J. Appl. Dyn. Syst..

Two-dimensional discrete solitons in rotating lattices.

B. Malomed, P. Kevrekidis, J. Cuevas, 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

Surface solitons in three dimensions.

Q. E. Hoq, B. Malomed, D. Frantzeskakis, 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

Disk-shaped Bose-Einstein condensates in the presence of an harmonic trap and an optical lattice.

D. Frantzeskakis, P. Kevrekidis, T. Kapitula, 2008, Chaos.

Superfluid flow past an obstacle in annular Bose–Einstein condensates

P. Kevrekidis, L. Hackermüller, I. Lesanovsky, 2015, 1512.07924.

Dark solitons in external potentials

Dmitry E. Pelinovsky, Panayotis G. Kevrekidis, P. Kevrekidis, 2006, cond-mat/0610881.

Universal reductions and solitary waves of weakly nonlocal defocusing nonlinear Schrödinger equations

D. Frantzeskakis, P. Kevrekidis, T. P. Horikis, 2020, 2011.09651.

Observation and analysis of multiple dark-antidark solitons in two-component Bose-Einstein condensates

P. Engels, T. Bersano, P. Kevrekidis, 2020, 2003.00259.

Controlled generation of dark-bright soliton complexes in two-component and spinor Bose-Einstein condensates

P. Kevrekidis, P. Schmelcher, G. Katsimiga, 2019, Physical Review A.

Vortex-soliton complexes in coupled nonlinear Schrödinger equations with unequal dispersion coefficients.

B. Malomed, D. Frantzeskakis, P. Kevrekidis, 2015, Physical review. E.

Static and rotating domain-wall cross patterns in Bose-Einstein condensates (8 pages)

B. Malomed, D. Frantzeskakis, P. Kevrekidis, 2004, cond-mat/0409123.

Tunable Vibrational Band Gaps in One-Dimensional Diatomic Granular Crystals with Three-Particle Unit Cells

P. G. Kevrekidis, G. Theocharis, C. Daraio, 2010, 1011.1586.

On some configurations of oppositely charged trapped vortices in the plane

Panayotis G. Kevrekidis, Emilie Dufresne, Heather A. Harrington, 2018, Adv. Appl. Math..

Stability of quantized vortices in a Bose-Einstein condensate confined in an optical lattice

I. Kevrekidis, K. Law, P. Kevrekidis, 2008, 0803.3251.

Book Review: Discrete and continuous nonlinear Schrödinger systems

P. Kevrekidis, 2005 .

Equation-Free, Effective Computation for Discrete Systems: a Time stepper Based Approach

Panayotis G. Kevrekidis, Ioannis G. Kevrekidis, Olof Runborg, 2005, Int. J. Bifurc. Chaos.

MECHANISMS CONTROLLING THE OUTDOOR/INDOOR RELATIONSHIPS OF FINE PARTICLE LEVELS AND CHARACTERISTICS

P. G. Kevrekidis, Yannis Drossinos, Mihalis Lazaridis, 2002 .

Ring dark solitons in three-dimensional Bose-Einstein condensates

P. Kevrekidis, Wenlong Wang, E. Babaev, 2019, Physical Review A.

The Krein Matrix: General Theory and Concrete Applications in Atomic Bose-Einstein Condensates

Dong Yan, Todd Kapitula, Panayotis G. Kevrekidis, 2012, SIAM J. Appl. Math..

Symmetry-Breaking Bifurcation in the Nonlinear Schrödinger Equation with Symmetric Potentials

P. G. Kevrekidis, D. E. Pelinovsky, E. Kirr, 2010, 1012.3921.

Distribution of eigenfrequencies for oscillations of the ground state in the Thomas-Fermi limit

P. Kevrekidis, P. Kevrekidis, D. Pelinovsky, 2009, 0911.5313.

Radially symmetric nonlinear states of harmonically trapped Bose-Einstein condensates

P. G. Kevrekidis, G. Herring, D. J. Frantzeskakis, 2007, 0709.2193.

Periodic oscillations of dark solitons in parabolic potentials

P. Kevrekidis, D. Pelinovsky, 2007, 0705.1016.

Controlling the transverse instability of dark solitons and nucleation of vortices by a potential barrier

B. A. Malomed, Manjun Ma, P. G. Kevrekidis, 2010, 1004.3060.

To infinity and some glimpses of beyond

Constantinos I Siettos, Yannis G Kevrekidis, P. Kevrekidis, 2017, Nature Communications.

Statistical Mechanics of DNLS

P. Kevrekidis, 2009 .

Revisiting Diffusion: Self-similar Solutions and the $t^{-1/2}$ Decay in Initial and Initial-Boundary Value Problems

I. Kevrekidis, P. Kevrekidis, E. Charalampidis, 2017, 1702.00861.

Exciting and Harvesting Vibrational States in Harmonically Driven Granular Chains

P. Kevrekidis, J. Yang, C. Daraio, 2015, 1510.04753.

On the spontaneous time-reversal symmetry breaking in synchronously-pumped passive Kerr resonators

P. G. Kevrekidis, R. Carretero-Gonzalez, M. Haragus, 2016, 1605.08465.

Robust vortex lines, vortex rings, and hopfions in three-dimensional Bose-Einstein condensates

Wenlong Wang, P. G. Kevrekidis, D. J. Frantzeskakis, 2015, 1510.04344.

Nonlinear localized modes in two-dimensional hexagonally-packed magnetic lattices

M. Porter, P. Kevrekidis, Miguel Molerón, 2020, New Journal of Physics.

Linear impurity modes in an electrical lattice: Theory and experiment.

P. Kevrekidis, L. English, M. Molina, 2019, Physical review. E.

Defect modes in one-dimensional granular crystals.

G. Theocharis, P. Kevrekidis, C. Daraio, 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

Localized breathing modes in granular crystals with defects.

I. Kevrekidis, M. Porter, G. Theocharis, 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

Instabilities and bifurcations of nonlinear impurity modes.

P. Kevrekidis, Y. Kivshar, A. Kovalev, 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

A PT -Symmetric Dual-Core System with the Sine-Gordon Nonlinearity and Derivative Coupling

Panayotis G. Kevrekidis, Boris A. Malomed, Jesús Cuevas-Maraver, 2016, Symmetry.

Wave mixing in coupled phononic crystals via a variable stiffness mechanism

Gil-Yong Lee, Panayotis Kevrekidis, Christopher Chong, 2016, 1603.05316.

Demonstrating an In Situ Topological Band Transition in Cylindrical Granular Chains.

P. Kevrekidis, J. Yang, E. Kim, 2017, Physical review letters.

Nonlinear dressed states at the miscibility-immiscibility threshold

P. Kevrekidis, H. Strobel, M. Oberthaler, 2014, 1407.8049.

Formation of rarefaction waves in origami-based metamaterials.

P. Kevrekidis, H. Yasuda, J. Yang, 2015, Physical review. E.

Dynamics of three noncorotating vortices in Bose-Einstein condensates.

P. Kevrekidis, G. Voyatzis, V. Koukouloyannis, 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

Dark-antidark spinor solitons in spin-1 Bose gases

P. Kevrekidis, Christian-Marcel Schmied, 2020, 2008.12609.

When linear stability does not exclude nonlinear instability.

A. Saxena, P. Kevrekidis, D. Pelinovsky, 2014, Physical Review Letters.

When linear stability does not exclude nonlinear instability.

P. G. Kevrekidis, D. E. Pelinovsky, P. Kevrekidis, 2014, Physical review letters.

Nonlinear dispersion relations

Panayotis G. Kevrekidis, Andrei Ludu, P. Kevrekidis, 2007, Math. Comput. Simul..

Discrete Variants of the $$\phi ^4$$ Model: Exceptional Discretizations, Conservation Laws and Related Topics

P. Kevrekidis, S. Dmitriev, 2019, Nonlinear Systems and Complexity.

High-speed kinks in a generalized discrete phi4 model.

A. Khare, A. Saxena, P. Kevrekidis, 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

Exact static solutions to a translationally invariant discrete ϕ4 model

A. Khare, A. Saxena, P. Kevrekidis, 2007, nlin/0703043.

Comparative study of different discretizations of the phi(4) model.

A. Saxena, P. Kevrekidis, I. Roy, 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

On a class of spatial discretizations of equations of the nonlinear Schrödinger type

P. Kevrekidis, A. Sukhorukov, S. Dmitriev, 2006, Math. Comput. Simul..

Stability of waves in discrete systems

P. Kevrekidis, T. Kapitula, 2001 .

Integrability revisited: a necessary condition

Panayotis G. Kevrekidis, P. Kevrekidis, 2001 .

Discrete baby and three-dimensional skyrmions

P. Kevrekidis, T. Ioannidou, 2009 .

Existence and spectral stability of multi-pulses in discrete Hamiltonian lattice systems

P. Kevrekidis, Ross Parker, Bjorn Sandstede, 2019, Physica D: Nonlinear Phenomena.

Discrete Breathers in $$\phi ^4$$ and Related Models

P. Kevrekidis, J. Cuevas-Maraver, 2019, Nonlinear Systems and Complexity.

Nonlinear Instabilities of Multi‐Site Breathers in Klein–Gordon Lattices

Dmitry E. Pelinovsky, Panayotis G. Kevrekidis, Jes'us Cuevas-Maraver, 2015, 1505.02815.

Nonlinear coherent structures in granular crystals

Mason A Porter, M. Porter, P. Kevrekidis, 2016, Journal of physics. Condensed matter : an Institute of Physics journal.

Resonant localized modes in electrical lattices with second-neighbor coupling

P. Kevrekidis, L. English, S. Abdoulkary, 2018, Physical Review E.

Effects of competing short- and long-range dispersive interactions on discrete breathers.

A. Saxena, P. Kevrekidis, Y. Gaididei, 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

Kink–antikink interaction forces and bound states in a ϕ 4 model with quadratic and quartic dispersion

Robert J. Decker, P. Kevrekidis, T. Alexander, 2020, Journal of Physics A: Mathematical and Theoretical.

Travelling solitary waves in the discrete Schrodinger equation with saturable nonlinearity: Existence, stability and dynamics

P. Kevrekidis, A. Champneys, T. Melvin, 2008 .

Discrete vector solitons in one-dimensional lattices in photorefractive media.

B. Malomed, D. Frantzeskakis, P. Kevrekidis, 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

Motion of discrete solitons assisted by nonlinearity management.

B. Malomed, P. Kevrekidis, J. Cuevas, 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

Rogue waves of ultra-high peak amplitude: a mechanism for reaching up to a thousand times the background level

P. Kevrekidis, Wen-Rong Sun, Lei Liu, 2020, Proceedings of the Royal Society A.

Extreme wave events for a nonlinear Schrödinger equation with linear damping and Gaussian driving

P. G. Kevrekidis, G. Fotopoulos, D. J. Frantzeskakis, 2018, Commun. Nonlinear Sci. Numer. Simul..

Kink dynamics in a nonlinear beam model

Robert J. Decker, P. Kevrekidis, A. Demirkaya, 2020, Commun. Nonlinear Sci. Numer. Simul..

Kink–antikink interaction forces and bound states in a biharmonic ϕ4 model

Robert J. Decker, P. Kevrekidis, N. Manton, 2020, Journal of Physics A: Mathematical and Theoretical.

Radiationless energy exchange in three-soliton collisions.

P. Kevrekidis, Y. Kivshar, S. Dmitriev, 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

Thresholds for soliton creation in the Ablowitz-Ladik lattice

Panayotis G. Kevrekidis, J. Adrián Espínola-Rocha, P. Kevrekidis, 2009, Math. Comput. Simul..

Sine-Gordon Equation: From Discrete to Continuum

P. Kevrekidis, C. Chong, J. Cuevas-Maraver, 2014, 1403.6271.

Asymptotic Stability of Small Bound States in the Discrete Nonlinear Schrödinger Equation

P. G. KEVREKIDIS, D. E. PELINOVSKY, A. STEFANOV, 2009, SIAM J. Math. Anal..

On the stability of multibreathers in Klein–Gordon chains

P. Kevrekidis, V. Koukouloyannis, 2009, 0902.3990.

Dynamics and stabilization of bright soliton stripes in the hyperbolic-dispersion nonlinear Schrödinger equation

P. G. Kevrekidis, B. A. Malomed, R. Carretero-Gonzalez, 2018, Commun. Nonlinear Sci. Numer. Simul..

Toroidal Vortex Filament Knots and Links: Existence, Stability and Dynamics

Theodore Kolokolnikov, Christopher Ticknor, Panayotis Kevrekidis, 2019, SIAM J. Appl. Dyn. Syst..

Discrete nonlinear model with substrate feedback.

B. Malomed, P. Kevrekidis, A. Bishop, 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

Nonlinear edge modes in a honeycomb electrical lattice near the Dirac points

P. Kevrekidis, L. English, J. Cuevas-Maraver, 2020, 2002.05567.

Persistence and stability of discrete vortices in nonlinear Schrödinger lattices

Dmitry E. Pelinovsky, Panayotis G. Kevrekidis, D. Frantzeskakis, 2005 .

Time- and space-variant wave transmission in helicoidal phononic crystals

P. Kevrekidis, J. Yang, C. Daraio, 2014, 1408.6121.

Granular acoustic switches and logic elements

Chiara Daraio, Paul Anzel, Jinkyu Yang, 2014, Nature Communications.

Classical nucleation theory revisited.

P. Kevrekidis, Y. Drossinos, 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

The One-Dimensional Case

P. G. Kevrekidis, P. Kevrekidis, 2009 .

Solitary wave billiards.

P. Kevrekidis, J. Cuevas-Maraver, Hong-Kun Zhang, 2022, Physical review. E.

Higher Dimensional Lattices

P. Kevrekidis, C. Chong, 2018 .

Wave propagation in square granular crystals with spherical interstitial intruders.

P. Kevrekidis, C. Daraio, I. Szelengowicz, 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

Asymmetric Wave Propagation Through Saturable Nonlinear Oligomers

P. Kevrekidis, D. Kip, J. D’Ambroise, 2014, 1412.4856.

$\mathcal{PT}$-symmetric ladders with a scattering core

B. Malomed, P. Kevrekidis, S. Lepri, 2014, 1407.1086.

Asymmetric wave propagation through nonlinear PT-symmetric oligomers

P. Kevrekidis, P. Kevrekidis, S. Lepri, 2012, 1202.4483.

Soliton internal mode bifurcations: pure power law?

P. Kevrekidis, C. Jones, T. Kapitula, 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

Equation-Free Computations as DDDAS Protocols for Bifurcation Studies: A Granular Chain Example

I. Kevrekidis, P. Kevrekidis, F. Li, 2023, ArXiv.

$\mathcal{P}\mathcal{T}$-symmetric sine-Gordon breathers

P. Kevrekidis, J. Cuevas-Maraver, Nan Lu, 2014 .

SPECTRAL STABILITY ANALYSIS FOR STANDING WAVES OF A PERTURBED KLEIN-GORDON EQUATION

P. Kevrekidis, M. Stanislavova, A. Stefanov, 2014, 1409.7095.

Thermalization in the one-dimensional Salerno model lattice.

A. Khare, A. Saxena, P. Kevrekidis, 2020, Physical review. E.

Parity-time-symmetric optical coupler with birefringent arms

P. Kevrekidis, V. Konotop, D. Zezyulin, 2012, 1212.1676.

Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation

P. Kevrekidis, P. Farrell, E. Charalampidis, 2019, Commun. Nonlinear Sci. Numer. Simul..

Multiple dark-bright solitons in atomic Bose-Einstein condensates

C. Hamner, P. Engels, D. Frantzeskakis, 2011, 1104.4359.

Multibreathers in Klein–Gordon chains with interactions beyond nearest neighbors

P. Kevrekidis, V. Koukouloyannis, V. Rothos, 2012, 1204.5496.

P T ?> -symmetric sine-Gordon breathers

P. Kevrekidis, J. Cuevas-Maraver, Nan Lu, 2014, 1406.3082.

Polarobreathers in soft potentials

D. Frantzeskakis, P. Kevrekidis, A. Bishop, 2005, cond-mat/0512695.

Introduction and Motivation of Models

Panayotis G. Kevrekidis, Christopher Chong, P. Kevrekidis, 2018 .

Instability dynamics and breather formation in a horizontally shaken pendulum chain.

H. Sidhu, P. Kevrekidis, T. Alexander, 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

Highly nonlinear wave propagation in elastic woodpile periodic structures.

Feng Li, Jinkyu Yang, G. Theocharis, 2014, Physical review letters.

Granular crystals: Nonlinear dynamics meets materials engineering

Mason A. Porter, Chiara Daraio, Panayotis G. Kevrekidis, 2015 .

Continuum approach to discreteness.

A R Bishop, I. Kevrekidis, E. Titi, 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

Non-conservative variational approximation for nonlinear Schrödinger equations

P. Kevrekidis, J. Rossi, R. Carretero-González, 2015, The European Physical Journal Plus.

Self-trapping transition for a nonlinear impurity within a linear chain

P. Kevrekidis, M. Molina, N. Karachalios, 2013, 1305.3305.

Nucleation of breathers via stochastic resonance in nonlinear lattices.

P. Kevrekidis, D. Cubero, J. Cuevas, 2009, Physical review letters.

Observation of double-charge discrete vortex solitons in hexagonal photonic lattices

Yuri S. Kivshar, Cornelia Denz, Kody J. H. Law, 2009 .

Discrete breathers in a mass-in-mass chain with Hertzian local resonators.

P. Kevrekidis, J. Lee, C. Chong, 2016, Physical review. E.

Unifying perspective: Solitary traveling waves as discrete breathers in Hamiltonian lattices and energy criteria for their stability.

P. Kevrekidis, Haitao Xu, J. Cuevas-Maraver, 2017, Physical review. E.

Breathers on a background: periodic and quasiperiodic solutions of extended discrete nonlinear wave systems

Panayotis G. Kevrekidis, Michael I. Weinstein, P. Kevrekidis, 2002, Math. Comput. Simul..

Solitary Waves of the Camassa-Holm Derivative Nonlinear Schr\"odinger equation

P. Kevrekidis, C. Ward, I. Mylonas, 2018, 1812.05149.

Modulational Instability in Bose–Einstein Condensates under Feshbach Resonance Management

B. Malomed, D. Frantzeskakis, G. Theocharis, 2004, cond-mat/0404664.

Dynamics of Phase Transitions in a Piecewise Linear Diatomic Chain

P. Kevrekidis, A. Vainchtein, 2012, J. Nonlinear Sci..

Nonlinear Stationary States in PT-Symmetric Lattices

Panayotis G. Kevrekidis, Dmitry Pelinovsky, Dmitry Tyugin, 2013, SIAM J. Appl. Dyn. Syst..

Localization in optical systems with an intensity-dependent dispersion

P. G. Kevrekidis, R. M. Ross, D. E. Pelinovsky, 2021, 2103.11858.

Deflation-based Identification of Nonlinear Excitations of the 3D Gross-Pitaevskii equation

P. Kevrekidis, P. Farrell, E. Charalampidis, 2020, ArXiv.

2D solutions of the hyperbolic discrete nonlinear Schrödinger equation

P. Kevrekidis, J. D’Ambroise, 2018, Physica Scripta.

Radial standing and self-similar waves for the hyperbolic cubic NLS in 2D

P. Kevrekidis, C. Zeng, A. Nahmod, 2011, 1102.2374.

Mobility of discrete solitons in quadratically nonlinear media.

B. Malomed, D. Frantzeskakis, P. Kevrekidis, 2006, Physical review letters.

Bose – Einstein Condensates Theory and Experiment 123 Emergent Nonlinear Phenomena

D. Frantzeskakis, P. Kevrekidis, R. Carretero-González, 2019 .

Publication Number: CSRCR2006-09 Mobility of Discrete Solitons in Quadratic Nonlinear Media

B. Malomed, D. Frantzeskakis, P. Kevrekidis, 2007 .

Fe b 20 07 Modulated Amplitude Waves in Collisionally Inhomogeneous Bose-Einstein Condensates

B. Malomed, M. Porter, P. Kevrekidis, 2007 .

The stability of the b-family of peakon equations

S. Lafortune, P. Kevrekidis, E. Charalampidis, 2020, Nonlinearity.

Speed-of-light pulses in a massless nonlinear Dirac equation.

A. Saxena, P. Kevrekidis, J. Cuevas-Maraver, 2018, Physical review. E.

Shear circular dislocation loops investigated with elasticity theory and atomistic simulations

P. Kevrekidis, S. J. Zhou, A. Bishop, 2000 .

Discrete solitons in nonlinear Schrodinger lattices with a power-law nonlinearity

B. A. Malomed, Panayotis G. Kevrekidis, B. Malomed, 2009 .

Nonlinearity from linearity: The Ermakov-Pinney equation revisited

Panayotis G. Kevrekidis, Yannis Drossinos, P. Kevrekidis, 2007, Math. Comput. Simul..

A numerical bifurcation analysis of a dryland vegetation model

C. B. Ward, P. G. Kevrekidis, N. Whitaker, 2017, Commun. Nonlinear Sci. Numer. Simul..

Conical wave propagation and diffraction in two-dimensional hexagonally packed granular lattices.

M. Ablowitz, P. Kevrekidis, C. Chong, 2015, Physical review. E.

Justification of Leading Order Quasicontinuum Approximations of Strongly Nonlinear Lattices

P. Kevrekidis, G. Schneider, C. Chong, 2013, 1303.5568.

Dispersive Shock Waves

P. Kevrekidis, C. Chong, 2018 .

Traveling waves for monomer chains with precompression

Atanas Stefanov, Panayotis G. Kevrekidis, P. Kevrekidis, 2013 .

On the Existence of Solitary Traveling Waves for Generalized Hertzian Chains

Panayotis G. Kevrekidis, Atanas Stefanov, P. Kevrekidis, 2011, J. Nonlinear Sci..

Dynamics of Dirac solitons in networks

P. Kevrekidis, D. Matrasulov, K. Sabirov, 2017, Journal of Physics A: Mathematical and Theoretical.

Dark spherical shell solitons in three-dimensional Bose-Einstein condensates: Existence, stability, and dynamics

D. Frantzeskakis, P. Kevrekidis, R. Carretero-González, 2016, 1601.02176.

Spontaneous symmetry breaking in photonic lattices: Theory and experiment

B. A. Malomed, D. J. Frantzeskakis, P. G. Kevrekidis, 2004, cond-mat/0412381.

Generation of localized modes in an electrical lattice using subharmonic driving.

P. Kevrekidis, A. Sievers, R. Carretero-González, 2012, Physical review letters.

Two-component nonlinear Schrodinger models with a double-well potential

B. A. Malomed, N. Whitaker, P. G. Kevrekidis, 2008, 0805.0023.

Communications in Nonlinear Science and Numerical Simulation

Roy H. Goodman, P. Kevrekidis, J. Adriazola, 2023 .

Normal form for the onset of collapse: The prototypical example of the nonlinear Schrödinger equation.

I. Kevrekidis, P. Kevrekidis, S. Chapman, 2020, Physical review. E.

Stabilization of the Peregrine soliton and Kuznetsov–Ma breathers by means of nonlinearity and dispersion management

B. Malomed, P. Kevrekidis, D. Frantzeskakis, 2017, 1711.08220.

A Korteweg–de Vries description of dark solitons in polariton superfluids

P. Kevrekidis, D. Frantzeskakis, P. Kevrekidis, 2017, 1710.01336.

Bifurcation and stability of single and multiple vortex rings in three-dimensional Bose-Einstein condensates

Wenlong Wang, P. G. Kevrekidis, D. J. Frantzeskakis, 2015, 1507.07606.

Few-particle vortex cluster equilibria in Bose–Einstein condensates: existence and stability

P. Kevrekidis, P. Kevrekidis, A. Barry, 2013, 1306.1545.

Nonlinear excitations, stability inversions, and dissipative dynamics in quasi-one-dimensional polariton condensates

D. Frantzeskakis, P. Kevrekidis, R. Carretero-González, 2011, 1102.2209.

Control of the symmetry breaking in double-well potentials by the resonant nonlinearity management.

B. Malomed, P. Kevrekidis, D. Frantzeskakis, 2011, Chaos.

Vortex Solutions of the Defocusing Discrete Nonlinear Schrödinger Equation

K. Law, P. Kevrekidis, G. James, 2009 .

The higher-dimensional Ablowitz–Ladik model: From (non-)integrability and solitary waves to surprising collapse properties and more exotic solutions

Stephane Lafortune, Q. E. Hoq, Panayotis G. Kevrekidis, 2009, 0907.1386.

Nonlinear from linear states in two-component Bose–Einstein condensates

P. Kevrekidis, P. Kevrekidis, N. Efremidis, 2009 .

Structure and stability of two-dimensional Bose–Einstein condensates under both harmonic and lattice confinement

P. Kevrekidis, D. Frantzeskakis, K. Law, 2008, 0803.3240.

Faraday waves in Bose-Einstein condensates

P. G. Kevrekidis, Alexandru I. Nicolin, R. Carretero-Gonzalez, 2007, 0710.5921.

Emergence of unstable modes in an expanding domain for energy-conserving wave equations

P. Kevrekidis, D. Frantzeskakis, P. Kevrekidis, 2007, 0709.0736.

Solitary waves under the competition of linear and nonlinear periodic potentials

P. Kevrekidis, P. Kevrekidis, V. Konotop, 2007, 0707.1162.

Stability of waves in multi-component DNLS system

P. Kevrekidis, P. Kevrekidis, V. Rothos, 2007 .

Cerenkov-like radiation in a binary Schr{\"o}dinger flow past an obstacle

B. Malomed, D. Frantzeskakis, P. Kevrekidis, 2007, cond-mat/0701435.

Modulated amplitude waves in collisionally inhomogeneous Bose–Einstein condensates

Mason A. Porter, Boris A. Malomed, D. J. Frantzeskakis, 2006, nlin/0607009.

Solitary wave interactions in dispersive equations using Manton's approach.

A. Khare, A. Saxena, P. Kevrekidis, 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

On the Modulational Instability of the Nonlinear Schrödinger Equation with Dissipation

B. A. Malomed, D. J. Frantzeskakis, P. G. Kevrekidis, 2004, cond-mat/0404597.

Rogue and solitary waves in coupled phononic crystals.

P. Kevrekidis, Jinkyu Yang, P. Kevrekidis, 2021, Physical review. E.

Continuous families of solitary waves in non-symmetric complex potentials: A Melnikov theory approach

D. Frantzeskakis, A. Bountis, P. Kevrekidis, 2018, Chaos, Solitons & Fractals.

Breathers and surface modes in oscillator chains with Hertzian interactions

P. Kevrekidis, G. James, J. Cuevas, 2012, 1301.1769.

Bose-Einstein condensation: Twenty years after

B. Malomed, D. Mihalache, P. Kevrekidis, 2015, 1502.06328.

Wave manipulation using a bistable chain with reversible impurities.

P. Kevrekidis, H. Yasuda, E. Charalampidis, 2021, Physical review. E.

Standing and Traveling Waves in a Nonlinearly Dispersive Lattice Model

P. Kevrekidis, J. Cuevas-Maraver, Ross Parker, 2023, 2309.11649.

To infinity and some glimpses of beyond

P. Kevrekidis, C. Siettos, Y. Kevrekidis, 2017, Nature Communications.

Highly nonlinear solitary waves in periodic dimer granular chains.

Mason A Porter, Chiara Daraio, M. Porter, 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

Coherent Structures in Granular Crystals: From Experiment and Modelling to Computation and Mathematical Analysis

P. Kevrekidis, C. Chong, 2018 .

Chaotic behavior of three interacting vortices in a confined Bose-Einstein condensate.

P. Kevrekidis, Nikos Kyriakopoulos, V. Koukouloyannis, 2013, Chaos.

Scattering of waves by impurities in precompressed granular chains.

M. Porter, Jinkyu Yang, P. Kevrekidis, 2016, Physical review. E.

Planar and radial kinks in nonlinear Klein-Gordon models: Existence, stability, and dynamics

P. G. Kevrekidis, I. Danaila, R. Carretero-Gonzalez, 2018, Physical Review E.

On the generation and propagation of solitary waves in integrable and nonintegrable nonlinear lattices

P. Kevrekidis, S. Sen, G. Biondini, 2020, The European Physical Journal Plus.

On the Whitham modulation equations for the Toda lattice and the quantitative characterization of its dispersive shocks

P. Kevrekidis, G. Biondini, Christopher Chong, 2023, 2312.10755.

Ground States in Spatially Discrete Nonlinear Schr\"odinger Lattices

Panayotis G. Kevrekidis, Atanas G. Stefanov, Ryan M. Ross, 2021, 2111.00118.

Stabilization of ring dark solitons in Bose-Einstein condensates

Wenlong Wang, Tasso J. Kaper, Manjun Ma, 2015, 1506.05510.

Solitons and vortices in two-dimensional discrete nonlinear Schrödinger systems with spatially modulated nonlinearity.

B. Malomed, D. Frantzeskakis, A. Saxena, 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

Energy localization and transport in two-dimensional electrical lattices

P. Kevrekidis, R. Carretero-González, L. English, 2014 .

Dynamics and manipulation of matter-wave solitons in optical superlattices

P. Kevrekidis, D. Frantzeskakis, M. Porter, 2005, cond-mat/0507696.

Solitons in quasi-one-dimensional Bose-Einstein condensates with competing dipolar and local interactions

B. Malomed, P. Kevrekidis, D. Frantzeskakis, 2009, 0904.1833.

From Feshbach-resonance managed Bose–Einstein condensates to anisotropic universes: Applications of the Ermakov–Pinney equation with time-dependent nonlinearity

P. Kevrekidis, D. Frantzeskakis, P. Kevrekidis, 2007, cond-mat/0701756.

Kink-inhomogeneity interaction in the sine-Gordon model.

P. Kevrekidis, T. Dobrowolski, J. Gatlik, 2023, Physical review. E.

Discrete breathers in a mechanical metamaterial.

P. Kevrekidis, J. Cuevas-Maraver, A. Vainchtein, 2022, Physical review. E.

Analysis and observation of moving domain fronts in a ring of coupled electronic self-oscillators.

P. Kevrekidis, C. B. Fritz, A. Zampetaki, 2017, Chaos.

Kuznetsov–Ma breather-like solutions in the Salerno model

P. Kevrekidis, P. Kevrekidis, E. Charalampidis, 2020, The European Physical Journal Plus.

Bubble interactions for the Mullins-Sekerka problem: Some case examples

Panayotis G. Kevrekidis, Georgia D. Karali, P. Kevrekidis, 2009, Math. Comput. Simul..

An effective description of the impact of inhomogeneities on the movement of the kink front in 2+1 dimensions

P. Kevrekidis, J. Gatlik, Tomasz Dobrowolski, 2023, 2310.17926.

Effective description of the impact of inhomogeneities on the movement of the kink front in 2+1 dimensions.

P. Kevrekidis, J. Gatlik, Tomasz Dobrowolski, 2024, Physical review. E.

A unified kinetic approach to binary nucleation

Panos G. Georgopoulos, P. G. Kevrekidis, Yannis Drossinos, 1999 .

Linear and nonlinear dynamics of isospectral granular chains

P. Kevrekidis, J. Yang, H. Xu, 2016, 1608.08275.

On 3+1 Dimensional Friedman-Robertson-Walker Universes with Matter

I. Kevrekidis, P. Kevrekidis, P. Kevrekidis, 2003, gr-qc/0302120.

Dynamical barrier for the formation of solitary waves in discrete lattices (vol 372, pg 2247, 2008)

P. Kevrekidis, Y. Drossinos, A. Stefanov, 2007, 0711.1895.

Asymptotic calculation of discrete non-linear wave interactions

Panayotis G. Kevrekidis, A. R. Bishop, Avinash Khare, 2005, Math. Comput. Simul..

On some classes of mKdV periodic solutions

Avinash Khare, G. Herring, Panayotis G. Kevrekidis, 2004, nlin/0410047.

Stability of waves in discrete systems

P. Kevrekidis, T. Kapitula, Todd Kapitula, 2001 .

Propagation failure, universal scalings and Goldstone modes

A. R. Bishop, Ioannis G. Kevrekidis, Panayotis G. Kevrekidis, 2001 .

Stability of single and multiple matter-wave dark solitons in collisionally inhomogeneous Bose-Einstein condensates

P. Kevrekidis, D. Frantzeskakis, P. Kevrekidis, 2017, 1703.06225.

Fe b 20 14 Dynamic and Energetic Stabilization of Persistent Currents in Bose-Einstein Condensates

K. Law, P. Kevrekidis, R. Carretero-González, 2017 .

D ec 2 01 4 When Does Linear Stability Not Exclude Nonlinear Instability ?

A. Saxena, P. Kevrekidis, D. Pelinovsky, 2014 .

Nonequilibrium dynamics and superfluid ring excitations in binary Bose-Einstein condensates.

D. Frantzeskakis, P. Kevrekidis, R. Carretero-González, 2007, Physical review letters.

Dynamical instability of 3D stationary and traveling planar dark solitons

P. Kevrekidis, I. Spielman, Mithun Thudiyangal, 2022, Journal of physics. Condensed matter : an Institute of Physics journal.

Asymptotic dynamics of higher-order lumps in the Davey–Stewartson II equation

P. Kevrekidis, Jingsong He, Lijuan Guo, 2022, Journal of Physics A: Mathematical and Theoretical.

Soliton oscillations in collisionally inhomogeneous attractive Bose-Einstein condensates

P. G. Kevrekidis, G. Theocharis, D. J. Frantzeskakis, 2007, 0707.2861.

Existence, stability, and scattering of bright vortices in the cubic-quintic nonlinear Schrödinger equation

Panayotis G. Kevrekidis, Boris A. Malomed, Ricardo Carretero-González, 2009, Math. Comput. Simul..

Oscillations of dark solitons in trapped Bose-Einstein condensates.

P. Kevrekidis, D. Frantzeskakis, P. Kevrekidis, 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

SO(2)-induced breathing patterns in multi-component Bose-Einstein condensates

D. Frantzeskakis, P. Kevrekidis, Wenlong Wang, 2016, 1604.04690.

Speed-of-light pulses in a massless nonlinear Dirac equation.

A. Saxena, P. Kevrekidis, J. Cuevas-Maraver, 2018, Physical review. E.

Nonlinear waves in Bose–Einstein condensates: physical relevance and mathematical techniques

D. Frantzeskakis, P. Kevrekidis, R. Carretero-González, 2008, 0805.0761.

Nonlinear Beam Propagation in a Class of Complex Non-$\mathcal {PT}$-Symmetric Potentials

P. Kevrekidis, D. Frantzeskakis, P. Kevrekidis, 2018, 1801.08526.

Emergence of elastic chiral Landau levels and snake states

P. Kevrekidis, Shuaifeng Li, Jinkyu Yang, 2024, Physical Review B.

Collisionally inhomogeneous Bose-Einstein condensates in double-well potentials

D. Frantzeskakis, P. Kevrekidis, P. Schmelcher, 2008, 0811.1314.

Oxygen, Angiogenesis, Cancer and Immune Interplay in Breast Tumor Micro-Environment: A Computational Investigation

P. Kevrekidis, N. Mirzaei, Leili Shahriyari, 2024, 2404.06699.

A spectral analysis of the nonlinear Schrödinger equation in the co-exploding frame

I. Kevrekidis, P. Kevrekidis, S. Chapman, 2022, Physica D: Nonlinear Phenomena.

Evaluating the robustness of rogue waves under perturbations

P. Kevrekidis, P. Kevrekidis, N. Whitaker, 2017, Physics Letters A.

Characterizing traveling-wave collisions in granular chains starting from integrable limits: the case of the Korteweg-de Vries equation and the Toda lattice.

P. Kevrekidis, S. Sen, A. Hoffman, 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.