Discrete soliton solutions for a generalized discrete nonlinear Schrödinger equation with variable coefficients via discrete \(N\)-fold Darboux transformation
type: Item
instance of: scholarly article
title: Discrete soliton solutions for a generalized discrete nonlinear Schrödinger equation with variable coefficients via discrete \(N\)-fold Darboux transformation
zbMATH Open document ID: 1381.65068
author: Jiang-Yan Song
author: Hui-Qin Hao
author: Xiaomei Zhang
published in: Applied Mathematics Letters
publication date: 2018-01-31T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 35A22
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 6832833
zbMATH Keywords: discrete generalized nonlinear Schrödinger equation with variable coefficients
zbMATH Keywords: discrete \(N\)-fold Darboux transformation
zbMATH Keywords: discrete soliton
zbMATH Keywords: Vandermonde-like determinants
zbMATH Keywords: symbolic computation
MaRDI profile type: Publication
full work available at URL: j.aml.2017.11.012
OpenAlex ID: W2769126467
cites work: Discrete Hirota equation: discrete Darboux transformation and new discrete soliton solutions
cites work: \(N\)-soliton solutions and elastic interaction of the coupled lattice soliton equations for nonlinear waves
cites work: Characteristics of the solitary waves and rogue waves with interaction phenomena in a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili equation
cites work: Dynamics of the breathers, rogue waves and solitary waves in the \((2+1)\)-dimensional Ito equation
cites work: Initial-boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method
cites work: Modulation instability, conservation laws and soliton solutions for an inhomogeneous discrete nonlinear Schrödinger equation
cites work: Darboux transformation and analytic solutions of the discrete \(\mathcal{PT}\)-symmetric nonlocal nonlinear Schrödinger equation
cites work: Darboux transformation of a coupled lattice soliton equation
cites work: Breather interactions and higher-order nonautonomous rogue waves for the inhomogeneous nonlinear Schrödinger Maxwell-Bloch equations
DOI: 10.1016/J.AML.2017.11.012
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description: scientific article; zbMATH DE number 6832833