On classification of intrinsic localized modes for the discrete nonlinear Schrödinger equation

G.L. Alfimov; V.A. Brazhnyi; V.V. Konotop

doi:10.1016/j.physd.2004.02.001

On classification of intrinsic localized modes for the discrete nonlinear Schrödinger equation

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2004.02.001 ◽

2004 ◽

Vol 194 (1-2) ◽

pp. 127-150 ◽

Cited By ~ 70

Author(s):

G.L. Alfimov ◽

V.A. Brazhnyi ◽

V.V. Konotop

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Localized Modes ◽

Discrete Nonlinear Schrödinger Equation ◽

Intrinsic Localized Modes ◽

Nonlinear Schrödinger

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On the asymptotic stability of localized modes in the discrete nonlinear Schrödinger equation

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2012.5.971 ◽

2012 ◽

Vol 5 (5) ◽

pp. 971-987 ◽

Cited By ~ 5

Author(s):

Tetsu Mizumachi ◽

◽

Dmitry Pelinovsky ◽

Keyword(s):

Asymptotic Stability ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Localized Modes ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger

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Multi-rogue wave solutions for a generalized integrable discrete nonlinear Schrödinger equation with higher-order excitations

Nonlinear Dynamics ◽

10.1007/s11071-021-06578-x ◽

2021 ◽

Author(s):

Jun Yang ◽

Yan-Li Zhang ◽

Li-Yuan Ma

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Rogue Wave ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Rogue Wave Solutions

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Finite dimensional global attractor for a semi-discrete nonlinear Schrödinger equation with a point defect

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.02.096 ◽

2011 ◽

Vol 217 (19) ◽

pp. 7818-7830 ◽

Cited By ~ 2

Author(s):

Emna Ezzoug ◽

Wided Kechiche ◽

Ezzeddine Zahrouni

Keyword(s):

Schrödinger Equation ◽

Point Defect ◽

Global Attractor ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger ◽

Finite Dimensional

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Bifurcation structures and dominant modes near relative equilibria in the one-dimensional discrete nonlinear Schrödinger equation

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2009.01.001 ◽

2009 ◽

Vol 238 (6) ◽

pp. 687-698 ◽

Cited By ~ 11

Author(s):

C.L. Pando L. ◽

E.J. Doedel

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Relative Equilibria ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

One Dimensional ◽

Nonlinear Schrödinger ◽

The One ◽

Bifurcation Structures

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Pfaffian solution for coupled discrete nonlinear Schrödinger equation

Chaos Solitons & Fractals ◽

10.1016/s0960-0779(98)00272-0 ◽

2000 ◽

Vol 11 (1-3) ◽

pp. 91-95 ◽

Cited By ~ 11

Author(s):

Y. Ohta

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger ◽

Pfaffian Solution

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Breathers and multibreathers in a periodically driven damped discrete nonlinear Schrödinger equation

Physical Review E ◽

10.1103/physreve.60.1195 ◽

1999 ◽

Vol 60 (2) ◽

pp. 1195-1211 ◽

Cited By ~ 19

Author(s):

Michael Kollmann ◽

Hans W. Capel ◽

Tassos Bountis

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger ◽

Periodically Driven

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On the integrability of a new discrete nonlinear Schrödinger equation

Journal of Physics A General Physics ◽

10.1088/0305-4470/34/41/102 ◽

2001 ◽

Vol 34 (41) ◽

pp. L553-L562 ◽

Cited By ~ 5

Author(s):

D Levi ◽

R Yamilov

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger

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On the symplectic integration of the discrete nonlinear Schrödinger equation with disorder

The European Physical Journal Special Topics ◽

10.1140/epjst/e2016-02657-0 ◽

2016 ◽

Vol 225 (6-7) ◽

pp. 1103-1114 ◽

Cited By ~ 5

Author(s):

E. Gerlach ◽

J. Meichsner ◽

C. Skokos

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Symplectic Integration ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger

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Solitons in a Parametrically Driven Damped Discrete Nonlinear Schrödinger Equation

Progress in Optical Science and Photonics - Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations ◽

10.1007/10091_2012_12 ◽

2012 ◽

pp. 601-638

Author(s):

M. Syafwan ◽

H. Susanto ◽

S. M. Cox

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger

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Localized-wave interactions for the discrete nonlinear Schrödinger equation under the nonvanishing background

Physica Scripta ◽

10.1088/1402-4896/aae213 ◽

2018 ◽

Vol 93 (11) ◽

pp. 115203 ◽

Cited By ~ 8

Author(s):

Min Li ◽

Juan-Juan Shui ◽

Ye-Hui Huang ◽

Lei Wang ◽

Heng-Ji Li

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Wave Interactions ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger

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