Envelope solution profiles of the discrete nonlinear Schrodinger equation with a saturable nonlinearity

被引：7

作者：

Yan, Zhenya ^{[1
]}

机构：

[1] Chinese Acad Sci, Inst Syst Sci, AMSS, Key Lab Math Mechanizat, Beijing 100080, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2009年 / 22卷 / 04期

关键词：

Discrete nonlinear Schrodinger equation with a saturable nonlinearity; Jacobi elliptic function; Envelope solution; Dark soliton solution; ELLIPTIC FUNCTION SOLUTIONS; MODIFIED KDV EQUATION; SOLITON PROPAGATION;

D O I：

10.1016/j.aml.2008.06.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this Letter, the discrete nonlinear Schrodinger equation with a saturable nonlinearity is investigated via the extended Jacobi elliptic function expansion method. As a consequence, with the aid of symbolic computation, a variety of new envelope periodic wave solutions are obtained in terms of Jacobi elliptic functions. In particular, the discrete dark soliton solution is also given. We analyze the structures of some of the obtained solutions via the figures. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：448 / 452

页数：5