Modulation instability, conservation laws and soliton solutions for an inhomogeneous discrete nonlinear Schrodinger equation

被引：79
作者：
Hao, Hui-Qin [1 ]
Guo, Rui [1 ]
Zhang, Jian-Wen [1 ]
机构：
[1] Taiyuan Univ Technol, Sch Math, Taiyuan 030024, Peoples R China
来源：
NONLINEAR DYNAMICS | 2017年 / 88卷 / 03期
基金：
中国国家自然科学基金;
关键词：
An inhomogeneous discrete nonlinear Schrodinger equation; Soliton; Modulation instability; Conservation laws; Discrete Darboux transformation; DARBOUX TRANSFORMATION; OPTICAL SOLITONS; WAVE SOLUTIONS; KERR;
D O I：
10.1007/s11071-017-3333-4
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, an inhomogeneous discrete nonlinear Schrodinger equation is analytically investigated. The modulation instability condition and conservation laws are derived. By virtue of the discrete Darboux transformation, two types of explicit solutions on the vanishing and non-vanishing backgrounds are generated. Those results might be useful in the study of solitons propagation in discrete optical fibers.
引用
收藏
页码：1615 / 1622
页数：8
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