Solitary waves and stable analysis for the quintic discrete nonlinear Schrödinger equation

Physica Scripta ◽

10.1088/0031-8949/86/01/015401 ◽

2012 ◽

Vol 86 (1) ◽

pp. 015401 ◽

Author(s):

Jinliang Zhang ◽

Zhiguo Liu ◽

Siwei Li ◽

Mingliang Wang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Solitary Waves ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger

Download Full-text

Spatial properties and numerical solitary waves of a nonintegrable discrete nonlinear Schrödinger equation with nonlinear hopping

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.03.047 ◽

2017 ◽

Vol 309 ◽

pp. 93-106 ◽

Author(s):

Li-Yuan Ma ◽

Zuo-Nong Zhu

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Solitary Waves ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger ◽

Spatial Properties

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

The Nonlinear Schrödinger Equation and Solitary Waves

Nonlinear Partial Differential Equations for Scientists and Engineers ◽

10.1007/978-1-4899-2846-7_10 ◽

1997 ◽

pp. 405-451

Author(s):

Lokenath Debnath

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Solitary Waves ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

Download Full-text

Variational approach to studying solitary waves in the nonlinear Schrödinger equation with complex potentials

Physical Review E ◽

10.1103/physreve.94.032213 ◽

2016 ◽

Vol 94 (3) ◽

Author(s):

Franz G. Mertens ◽

Fred Cooper ◽

Edward Arévalo ◽

Avinash Khare ◽

Avadh Saxena ◽

...

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Solitary Waves ◽

Variational Approach ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Complex Potentials ◽

Nonlinear Schrödinger

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text