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

被引:0
|
作者
Hui-Qin Hao
Rui Guo
Jian-Wen Zhang
机构
[1] Taiyuan University of Technology,School of Mathematics
来源
Nonlinear Dynamics | 2017年 / 88卷
关键词
An inhomogeneous discrete nonlinear Schrödinger equation; Soliton; Modulation instability; Conservation laws; Discrete Darboux transformation;
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学科分类号
摘要
In this paper, an inhomogeneous discrete nonlinear Schrödinger 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.
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页码:1615 / 1622
页数:7
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