Dmitry Pelinovsky

发表

On the uniform convergence of the Chebyshev interpolants for solitons

Marina Chugunova, Dmitry Pelinovsky, 2009, Math. Comput. Simul..

Stability Analysis of Stationary Light Transmission in Nonlinear Photonic Structures

Dmitry Pelinovsky, Arnd Scheel, A. Scheel, 2003, J. Nonlinear Sci..

Nonlinear Stationary States in PT-Symmetric Lattices

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

Discrete Traveling Solitons in the Salerno Model

Alan R. Champneys, Dmitry Pelinovsky, Thomas R. O. Melvin, 2009, SIAM J. Appl. Dyn. Syst..

Nonexistence of self-similar blowup for the nonlinear Dirac equations in (1+1) dimensions

Dmitry Pelinovsky, Hyungjin Huh, D. Pelinovsky, 2018, Appl. Math. Lett..

Breathers in Hamiltonian PT -Symmetric Chains of Coupled Pendula under a Resonant Periodic Force

Dmitry Pelinovsky, Alexander Chernyavsky, 2016, Symmetry.

Orbital Stability of Domain Walls in Coupled Gross-Pitaevskii Systems

Dmitry Pelinovsky, Andres Contreras, Michael Plum, 2018, SIAM J. Math. Anal..

Modeling of Wave Resonances in Low-Contrast Photonic Crystals

Dmitry Pelinovsky, Dmitri Agueev, D. Pelinovsky, 2005, SIAM J. Appl. Math..

Polychromatic Solitary Waves in a Periodic and Nonlinear Maxwell System

Dmitry Pelinovsky, Gideon Simpson, Michael I. Weinstein, 2012, SIAM J. Appl. Dyn. Syst..

Transverse Instability of Line Solitary Waves in Massive Dirac Equations

Dmitry Pelinovsky, Yusuke Shimabukuro, D. Pelinovsky, 2014, J. Nonlinear Sci..

Dmitry Pelinovsky, Jamie M. Foster, 2016, SIAM J. Appl. Dyn. Syst..

Nonlinear Instability of a Critical Traveling Wave in the Generalized Korteweg-de Vries Equation

Dmitry Pelinovsky, Scipio Cuccagna, Andrew Comech, 2007, SIAM J. Math. Anal..

Surface Gap Solitons at a Nonlinearity Interface

Dmitry Pelinovsky, Tomas Dohnal, D. Pelinovsky, 2007, SIAM J. Appl. Dyn. Syst..

Block-Diagonalization of the Symmetric First-Order Coupled-Mode System

Marina Chugunova, Dmitry Pelinovsky, D. Pelinovsky, 2005, SIAM J. Appl. Dyn. Syst..

Parametric Resonance and Radiative Decay of Dispersion-Managed Solitons

Dmitry Pelinovsky, Jianke Yang, Jianke Yang, 2004, SIAM J. Appl. Math..

Wave Breaking in the Ostrovsky-Hunter Equation

Yue Liu, Dmitry Pelinovsky, Anton Sakovich, 2009, SIAM J. Math. Anal..

Periodic Traveling Waves in Diatomic Granular Chains

Dmitry Pelinovsky, Matthew Betti, D. Pelinovsky, 2012, J. Nonlinear Sci..

Averaging of Dispersion-Managed Solitons: Existence and Stability

Dmitry Pelinovsky, Vadim Zharnitsky, 2003, SIAM J. Appl. Math..

Justification of the log-KdV Equation in Granular Chains: The Case of Precompression

Dmitry Pelinovsky, Éric Dumas, D. Pelinovsky, 2014, SIAM J. Math. Anal..

On the Thomas-Fermi ground state in a harmonic potential

Dmitry Pelinovsky, Clément Gallo, D. Pelinovsky, 2009, Asymptot. Anal..

Coupled-Mode Equations and Gap Solitons in a Two-Dimensional Nonlinear Elliptic Problem with a Separable Periodic Potential

Tomás Dohnal, Dmitry Pelinovsky, Guido Schneider, 2007, J. Nonlinear Sci..

Kadomtsev-Petviashvili equation

Gino Biondini, Dmitry Pelinovsky, G. Biondini, 2008, Scholarpedia.

Convergence of Petviashvili's Iteration Method for Numerical Approximation of Stationary Solutions of Nonlinear Wave Equations

Dmitry Pelinovsky, Yury A. Stepanyants, Y. Stepanyants, 2004, SIAM J. Numer. Anal..

Evans Function for Lax Operators with Algebraically Decaying Potentials

Dmitry Pelinovsky, Vassilios M. Rothos, Martin Klaus, 2006, J. Nonlinear Sci..

Persistence of the Thomas-Fermi approximation for ground states of the Gross-Pitaevskii equation supported by the nonlinear confinement

Dmitry Pelinovsky, Boris A. Malomed, B. Malomed, 2015, Appl. Math. Lett..

Linear Instability of Breathers for the Focusing Nonlinear Schrödinger Equation

Dmitry Pelinovsky, Mariana Haragus, M. Haragus, 2021, Journal of Nonlinear Science.

Moving gap solitons in periodic potentials

Dmitry Pelinovsky, Guido Schneider, G. Schneider, 2007, 0704.2123.

Justification of the coupled-mode approximation for a nonlinear elliptic problem with a periodic potential

Dmitry Pelinovsky, Guido Schneider, G. Schneider, 2007 .

Global existence of small-norm solutions in the reduced Ostrovsky equation

Dmitry Pelinovsky, Roger Grimshaw, R. Grimshaw, 2012, 1210.6526.

Global Well-Posedness of the Short-Pulse and Sine–Gordon Equations in Energy Space

Dmitry Pelinovsky, Anton Sakovich, 2010 .

Wave breaking in the short-pulse equation

Dmitry Pelinovsky, Anton Sakovich, Yue Liu, 2009 .

Gaussian solitary waves and compactons in Fermi–Pasta–Ulam lattices with Hertzian potentials

Dmitry Pelinovsky, Guillaume James, D. Pelinovsky, 2013, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.