Existence of dark solitons in discrete nonlinear Schrödinger equations with non-weak couplings

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/s13160-019-00371-5 ◽

2019 ◽

Vol 36 (3) ◽

pp. 893-905

Author(s):

Kazuyuki Yoshimura

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Dark Solitons ◽

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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Dark solitons in N-coupled higher order nonlinear Schrödinger equations

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2006.07.014 ◽

2008 ◽

Vol 13 (7) ◽

pp. 1318-1328 ◽

Author(s):

P. Seenuvasakumaran ◽

A. Mahalingam ◽

K. Porsezian

Keyword(s):

Higher Order ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Dark Solitons ◽

Nonlinear Schrodinger 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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Control of dark and anti-dark solitons in the (2+1)-dimensional coupled nonlinear Schrödinger equations with perturbed dispersion and nonlinearity in a nonlinear optical system

Nonlinear Dynamics ◽

10.1007/s11071-019-04992-w ◽

2019 ◽

Vol 97 (1) ◽

pp. 471-483 ◽

Author(s):

Weitian Yu ◽

Wenjun Liu ◽

Houria Triki ◽

Qin Zhou ◽

Anjan Biswas ◽

...

Keyword(s):

Optical System ◽

Nonlinear Optical ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Dark Solitons ◽

Nonlinear Schrodinger Equations ◽

Coupled 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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Localized states in discrete nonlinear Schrödinger equations

Physical Review Letters ◽

10.1103/physrevlett.72.591 ◽

1994 ◽

Vol 72 (5) ◽

pp. 591-595 ◽

Author(s):

David Cai ◽

A. R. Bishop ◽

Niels Grønbech-Jensen

Keyword(s):

Nonlinear Schrödinger Equations ◽

Localized States ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Discrete Nonlinear Schrödinger Equations

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Ground state solutions for periodic discrete nonlinear Schrödinger equations with saturable nonlinearities

Advances in Difference Equations ◽

10.1186/s13662-018-1574-2 ◽

2018 ◽

Vol 2018 (1) ◽

Author(s):

Luyu Zhang ◽

Shiwang Ma

Keyword(s):

Ground State ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Ground State Solutions ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Discrete Nonlinear Schrödinger Equations

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A discrete Adomian decomposition method for discrete nonlinear Schrödinger equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.07.055 ◽

2008 ◽

Vol 197 (1) ◽

pp. 190-205 ◽

Author(s):

Athanassios Bratsos ◽

Matthias Ehrhardt ◽

Ioannis Th. Famelis

Keyword(s):

Decomposition Method ◽

Adomian Decomposition Method ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Adomian Decomposition ◽

Nonlinear Schrodinger Equations ◽

Discrete Nonlinear Schrödinger Equations

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