New exact solutions to the perturbed nonlinear Schrodinger's equation with Kerr law nonlinearity

被引：148

作者：

Zhang, Zai-yun ^{[1
,2
]}

Liu, Zhen-hai ^{[3
]}

Miao, Xiu-jin ^{[2
]}

Chen, Yue-zhong ^{[2
]}

机构：

[1] Hunan Inst Sci & Technol, Dept Math, Yueyang 414006, Peoples R China

[2] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410075, Hunan, Peoples R China

[3] Guangxi Univ Nationalities, Sch Math & Comp Sci, Nanning 530006, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 10期

关键词：

The perturbed nonlinear Schrodinger's equation; Exact solutions; Modified mapping method; Extended mapping method; Kerr law nonlinearity; EVOLUTION;

D O I：

10.1016/j.amc.2010.04.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by using the modified mapping method and the extended mapping method, we derive some new exact solutions of the perturbed nonlinear Schrodinger's equation with Kerr law nonlinearity, which are the linear combination of two different Jacobi elliptic functions and we also consider the solutions in the limit cases. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：3064 / 3072

页数：9

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