Two-dimensional localized modes in saturable quintic nonlinear lattices

[1]  M. S. Hashemi,et al.  Application of new Kudryashov method to various nonlinear partial differential equations , 2022, Optical and Quantum Electronics.

[2]  M. Osman,et al.  Dynamic Properties of Non-Autonomous Femtosecond Waves Modeled by the Generalized Derivative NLSE with Variable Coefficients , 2022, Crystals.

[3]  T. Sulaiman,et al.  Multi-solutions with specific geometrical wave structures to a nonlinear evolution equation in the presence of the linear superposition principle , 2022, Communications in Theoretical Physics.

[4]  Jingzhen Li,et al.  Dark soliton families in quintic nonlinear lattices. , 2022, Optics express.

[5]  L. Torner,et al.  Vortex Solitons in Twisted Circular Waveguide Arrays. , 2022, Physical review letters.

[6]  M. Belić,et al.  Families of gap solitons and their complexes in media with saturable nonlinearity and fractional diffraction , 2022, Nonlinear Dynamics.

[7]  B. Malomed,et al.  Quadratic fractional solitons , 2021, Chaos, Solitons & Fractals.

[8]  M. Osman,et al.  W-shape bright and several other solutions to the (3+1)-dimensional nonlinear evolution equations , 2021, Modern Physics Letters B.

[9]  B. Malomed,et al.  Families of fundamental and multipole solitons in a cubic-quintic nonlinear lattice in fractional dimension , 2021, Chaos, Solitons & Fractals.

[10]  Choonkill Park,et al.  Novel hyperbolic and exponential ansatz methods to the fractional fifth-order Korteweg–de Vries equations , 2020 .

[11]  K. U. Tariq,et al.  Investigation of soliton solutions with different wave structures to the (2 + 1)-dimensional Heisenberg ferromagnetic spin chain equation , 2020, Communications in Theoretical Physics.

[12]  Liangwei Zeng,et al.  Preventing critical collapse of higher-order solitons by tailoring unconventional optical diffraction and nonlinearities , 2020 .

[13]  Changming Huang,et al.  Symmetry breaking and restoration of symmetric solitons in partially parity-time-symmetric potentials , 2019, Nonlinear Dynamics.

[14]  Liangwei Zeng,et al.  One-dimensional solitons in fractional Schrödinger equation with a spatially periodical modulated nonlinearity: nonlinear lattice , 2019, Optics Letters.

[15]  Boris A. Malomed,et al.  Frontiers in multidimensional self-trapping of nonlinear fields and matter , 2019, Nature Reviews Physics.

[16]  B. Malomed,et al.  Suppression of the critical collapse for one-dimensional solitons by saturable quintic nonlinear lattices. , 2018, Chaos.

[17]  B. Malomed Multidimensional solitons: Well-established results and novel findings , 2016, The European Physical Journal Special Topics.

[18]  Boris A. Malomed,et al.  Multidimensional solitons: Well-established results and novel findings , 2016, 1603.04097.

[19]  B. Malomed,et al.  Robust self-trapping of vortex beams in a saturable optical medium , 2015, 1511.06009.

[20]  M. Osman,et al.  Multi-wave solutions of the (2+1)-dimensional Nizhnik-Novikov-Veselov equations with variable coefficients , 2015 .

[21]  Gadi Fibich,et al.  The Nonlinear Schrödinger Equation: Singular Solutions and Optical Collapse , 2015 .

[22]  Cid B. de Araújo,et al.  Two-dimensional solitons in a quintic-septimal medium , 2014 .

[23]  B. Malomed,et al.  Collisions of matter-wave solitons , 2014, Nature Physics.

[24]  B. Malomed,et al.  Spatial control of the competition between self-focusing and self-defocusing nonlinearities in one- and two-dimensional systems , 2014, 1407.1702.

[25]  Albert S. Reyna,et al.  Nonlinearity management of photonic composites and observation of spatial-modulation instability due to quintic nonlinearity , 2014, 1402.3345.

[26]  Hervé Leblond,et al.  Robust two-dimensional spatial solitons in liquid carbon disulfide. , 2013, Physical review letters.

[27]  L. Dal Negro,et al.  Deterministic aperiodic nanostructures for photonics and plasmonics applications , 2012 .

[28]  B. Malomed,et al.  Two-dimensional solitons and vortices in media with incommensurate linear and nonlinear lattice potentials , 2012, 1201.2254.

[29]  Jianke Yang,et al.  Nonlinear Waves in Integrable and Nonintegrable Systems , 2010, Mathematical modeling and computation.

[30]  B. Malomed,et al.  Solitons in nonlinear lattices , 2010, 1010.2254.

[31]  L. Torner,et al.  Stabilization of two-dimensional solitons in cubic-saturable nonlinear lattices , 2010, 1004.4771.

[32]  Hidetsugu Sakaguchi,et al.  Solitons in combined linear and nonlinear lattice potentials , 2010, 1001.0425.

[33]  B. Malomed,et al.  Vector solitons in nonlinear lattices. , 2009, Optics letters.

[34]  L. Torner,et al.  Soliton Shape and Mobility Control in Optical Lattices , 2009, 0907.0849.

[35]  B. Malomed,et al.  Two-dimensional solitons in nonlinear lattices. , 2009, Optics letters.

[36]  H. Stoof,et al.  Ultracold Quantum Fields , 2009 .

[37]  Yaron Silberberg,et al.  Discrete Solitons in Optics , 2008 .

[38]  G Fibich,et al.  Qualitative and quantitative analysis of stability and instability dynamics of positive lattice solitons. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[39]  A. Fratalocchi,et al.  Spatial solitons in nematic liquid crystals: from bulk to discrete. , 2007, Optics express.

[40]  B. Malomed,et al.  Vortex stability in nearly-two-dimensional Bose-Einstein condensates with attraction , 2006, cond-mat/0603793.

[41]  M. Oberthaler,et al.  Dynamics of Bose-Einstein condensates in optical lattices , 2006 .

[42]  B. Malomed,et al.  Two-dimensional solitons in the Gross-Pitaevskii equation with spatially modulated nonlinearity. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[43]  B. Malomed,et al.  Spatiotemporal optical solitons , 2005 .

[44]  V. Konotop,et al.  Modern Physics Letters B c ○ World Scientific Publishing Company Theory of Nonlinear Matter Waves in Optical Lattices , 2004 .

[45]  M. Segev,et al.  Observation of vortex-ring "discrete" solitons in 2D photonic lattices , 2004, InternationalQuantum Electronics Conference, 2004. (IQEC)..

[46]  P. Treutlein,et al.  Bright Bose-Einstein gap solitons of atoms with repulsive interaction. , 2004, Physical review letters.

[47]  L. Torner,et al.  Stabilization of one-dimensional periodic waves by saturation of the nonlinear response. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[48]  B. Malomed,et al.  Multidimensional solitons in a low-dimensional periodic potential (9 pages) , 2003, cond-mat/0311027.

[49]  L. Torner,et al.  Two-dimensional cnoidal waves in Kerr-type saturable nonlinear media. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[50]  Yuri S. Kivshar,et al.  Optical Solitons: From Fibers to Photonic Crystals , 2003 .

[51]  Marco Peccianti,et al.  Spatial solitons in nematic liquid crystals , 2003 .

[52]  B. Malomed,et al.  Stable three-dimensional spinning optical solitons supported by competing quadratic and cubic nonlinearities. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[53]  Boris A. Malomed,et al.  Stability of vortex solitons in the cubic-quintic model , 2002 .

[54]  Succi,et al.  Ground state of trapped interacting bose-einstein condensates by an explicit imaginary-time algorithm , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[55]  Luc Bergé,et al.  Wave collapse in physics: principles and applications to light and plasma waves , 1998 .

[56]  Wolfgang Ketterle,et al.  Bose-Einstein Condensation: Identity Crisis for Indistinguishable Particles , 2007 .

[57]  Jason Christou,et al.  Spiraling bright spatial solitons formed by the breakup of an optical vortex in a saturable self-focusing medium , 1995 .

[58]  McLeod,et al.  (3+1)-dimensional optical soliton dragging logic. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[59]  Steven G. Johnson,et al.  Photonic Crystals: Molding the Flow of Light , 1995 .

[60]  Sharp,et al.  Observation of self-trapping of an optical beam due to the photorefractive effect. , 1993, Physical review letters.

[61]  Vasily M. Volkov,et al.  The Theory of Spiral Laser Beams in Nonlinear Media , 1992 .

[62]  Y. Silberberg Collapse of optical pulses. , 1990, Optics letters.

[63]  A. A. Kolokolov,et al.  Stationary solutions of the wave equation in a medium with nonlinearity saturation , 1973 .

[64]  Charles H. Townes,et al.  Self-trapping of optical beams , 1964 .

[65]  Ricardo Carretero-González,et al.  Emergent Nonlinear Phenomena in Bose-Einstein Condensates , 2008 .

[66]  C. Sulem,et al.  The nonlinear Schrödinger equation : self-focusing and wave collapse , 2004 .

[67]  A. P. Sukhorukov,et al.  Soliton-driven photonics , 2001 .