Thresholds for breather solutions of the discrete nonlinear Schrödinger equation with saturable and power nonlinearity

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2008.21.445 ◽

2008 ◽

Vol 21 (2) ◽

pp. 445-475 ◽

Author(s):

J. Cuevas ◽

◽

J. C. Eilbeck ◽

N. I. Karachalios ◽

◽

...

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger ◽

Power Nonlinearity

Download Full-text

Subcritical localization in the discrete nonlinear Schrodinger equation with arbitrary power nonlinearity

Nonlinearity ◽

10.1088/0951-7715/7/1/008 ◽

1994 ◽

Vol 7 (1) ◽

pp. 205-218 ◽

Author(s):

O Bang ◽

J J Rasmussen ◽

P L Christiansen

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger ◽

Arbitrary Power ◽

Power Nonlinearity

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

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

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

Download Full-text

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 ◽

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

Download Full-text