Bilinearisation-reduction approach to the nonlocal discrete nonlinear Schrodinger equations

被引：38

作者：

Deng, Xiao ^{[1
]}

Lou, Senyue ^{[2
]}

Zhang, Da-jun ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Ningbo Univ, Fac Sci, Ningbo 315211, Zhejiang, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 332卷

关键词：

Nonlocal discrete nonlinear Schrodinger equation; Bilinear; Reduction; Double Casoratian solutions; DOUBLE WRONSKIAN SOLUTIONS; SOLITON-SOLUTIONS; FORM; TRANSFORMATION; HIERARCHY; AKNS;

D O I：

10.1016/j.amc.2018.03.061

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A bilinearisation-reduction approach is described for finding solutions for nonlocal integrable systems and is illustrated with nonlocal discrete nonlinear Schrodinger equations. In this approach we first bilinearise the coupled system before reduction and derive its double Casoratian solutions; then we impose reduction on double Casoratians so that they coincide with the nonlocal reduction on potentials. Double Caosratian solutions of the classical and nonlocal (reverse space, reverse time and reverse space-time) discrete nonlinear Schrodinger equations are presented. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：477 / 483

页数：7

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