New Exact Travelling Wave and Periodic Solutions of Discrete Nonlinear Schrödinger Equation

Communications in Theoretical Physics ◽

10.1088/0253-6102/43/2/011 ◽

2005 ◽

Vol 43 (2) ◽

pp. 240-244 ◽

Author(s):

Yang Qin ◽

Dai Chao-Qing ◽

Zhang Jie-Fang

Keyword(s):

Schrödinger Equation ◽

Periodic Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Travelling Wave ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger

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On the quasi-periodic solutions to the discrete nonlinear Schrodinger equation

Journal of Physics A General Physics ◽

10.1088/0305-4470/20/2/015 ◽

1987 ◽

Vol 20 (2) ◽

pp. 293-303 ◽

Author(s):

S Ahmad ◽

A R Chowdhury

Keyword(s):

Schrödinger Equation ◽

Periodic Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger

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A lower bound for the power of periodic solutions of the defocusing discrete nonlinear Schrödinger equation

Dynamics of Partial Differential Equations ◽

10.4310/dpde.2008.v5.n1.a3 ◽

2008 ◽

Vol 5 (1) ◽

pp. 69-85 ◽

Author(s):

J. Cuevas ◽

J. Eilbeck ◽

N. Karachalios

Keyword(s):

Lower Bound ◽

Schrödinger Equation ◽

Periodic Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

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 ◽

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 ◽

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 ◽

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 ◽

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 ◽

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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Quasi-periodic solutions for derivative nonlinear Schrödinger equation

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2012.32.2101 ◽

2012 ◽

Vol 32 (6) ◽

pp. 2101-2123 ◽

Author(s):

Meina Gao ◽

◽

Jianjun Liu ◽

Keyword(s):

Schrödinger Equation ◽

Periodic Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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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 ◽

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 ◽

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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