Gap solitons in periodic discrete nonlinear Schrödinger equations with saturable nonlinearities

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2010.05.041 ◽

2010 ◽

Vol 371 (1) ◽

pp. 254-265 ◽

Author(s):

Alexander Pankov

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Discrete Nonlinear Schrödinger Equations ◽

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Existence of gap solitons in periodic discrete nonlinear Schrödinger equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2009.07.026 ◽

2010 ◽

Vol 361 (2) ◽

pp. 411-419 ◽

Author(s):

Haiping Shi ◽

Hongqiang Zhang

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Discrete Nonlinear Schrödinger Equations ◽

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Gap solitons in periodic discrete nonlinear Schrödinger equations

Nonlinearity ◽

10.1088/0951-7715/19/1/002 ◽

2005 ◽

Vol 19 (1) ◽

pp. 27-40 ◽

Author(s):

A Pankov

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Discrete Nonlinear Schrödinger Equations ◽

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Notes on gap solitons for periodic discrete nonlinear Schrödinger equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5183 ◽

2018 ◽

Vol 41 (16) ◽

pp. 6673-6682 ◽

Author(s):

Liang Ding ◽

Jinlong Wei

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Discrete Nonlinear Schrödinger Equations ◽

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Gap solitons in periodic discrete nonlinear Schrödinger equations II: A generalized Nehari manifold approach

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2007.19.419 ◽

2007 ◽

Vol 19 (2) ◽

pp. 419-430 ◽

Author(s):

A. Pankov ◽

Keyword(s):

Nehari Manifold ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Discrete Nonlinear Schrödinger Equations ◽

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Homoclinic solutions of discrete nonlinear Schrödinger equations with unbounded potentials

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107575 ◽

2021 ◽

pp. 107575

Author(s):

Ben-Xing Zhou ◽

Chungen Liu

Keyword(s):

Nonlinear Schrödinger Equations ◽

Homoclinic Solutions ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Discrete Nonlinear Schrödinger Equations

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Choreographies in the discrete nonlinear Schrödinger equations

The European Physical Journal Special Topics ◽

10.1140/epjst/e2018-00135-x ◽

2018 ◽

Vol 227 (5-6) ◽

pp. 615-624 ◽

Author(s):

Renato Calleja ◽

Eusebius Doedel ◽

Carlos García-Azpeitia ◽

Carlos L. Pando L.

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Discrete Nonlinear Schrödinger Equations

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Soliton dynamics in linearly coupled discrete nonlinear Schrödinger equations

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2009.08.033 ◽

2009 ◽

Vol 80 (4) ◽

pp. 814-824 ◽

Author(s):

A. Trombettoni ◽

H.E. Nistazakis ◽

Z. Rapti ◽

D.J. Frantzeskakis ◽

P.G. Kevrekidis

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Soliton Dynamics ◽

Nonlinear Schrodinger Equations ◽

Discrete Nonlinear Schrödinger Equations

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Standing waves for discrete nonlinear Schrödinger equations: sign-changing nonlinearities

Applicable Analysis ◽

10.1080/00036811.2011.609987 ◽

2011 ◽

Vol 92 (2) ◽

pp. 308-317 ◽

Author(s):

Alexander Pankov

Keyword(s):

Standing Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Discrete Nonlinear Schrödinger Equations

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One-dimensional gap solitons in quintic and cubic–quintic fractional nonlinear Schrödinger equations with a periodically modulated linear potential

Nonlinear Dynamics ◽

10.1007/s11071-019-05240-x ◽

2019 ◽

Vol 98 (2) ◽

pp. 985-995 ◽

Author(s):

Liangwei Zeng ◽

Jianhua Zeng

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Linear Potential ◽

Schrödinger Equations ◽

One Dimensional ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

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Gram determinant solutions to nonlocal integrable discrete nonlinear Schrödinger equations via the pair reduction

Wave Motion ◽

10.1016/j.wavemoti.2019.102487 ◽

2020 ◽

Vol 93 ◽

pp. 102487 ◽

Author(s):

Junchao Chen ◽

Bao-Feng Feng ◽

Yongyang Jin

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Discrete Nonlinear Schrödinger Equations ◽

Gram Determinant

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