Discrete soliton solutions for a generalized discrete nonlinear Schrodinger equation with variable coefficients via discrete N-fold Darboux transformation

被引：15

作者：

Song, Jiang-Yan ^{[1
]}

Hao, Hui-Qin ^{[1
]}

Zhang, Xiao-Mei ^{[1
]}

机构：

[1] Taiyuan Univ Technol, Sch Math, Taiyuan 030024, Shanxi, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2018年 / 78卷

基金：

山西省青年科学基金; 中国国家自然科学基金;

关键词：

A discrete generalized nonlinear; Schrodinger equation with variable coefficients; Discrete N-fold Darboux transformation; Discrete soliton; Vandermonde-like determinants; ROGUE WAVES; LATTICE; DYNAMICS;

D O I：

10.1016/j.aml.2017.11.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Under investigations in this paper is a discrete generalized nonlinear Schrodinger equation with variable coefficients. Through symbolic computation the discrete spectral problems are analyzed, the discrete N-fold Darboux transformation (DT) is constructed, discrete one and two-soliton solutions in the form of Vandermonde-like determinants are derived and some dynamic behaviors of those solitons are discussed graphically. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：126 / 132

页数：7

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