New exact solutions of Klein-Gordon

被引：0

作者：

Lu D. ^{[1
]}

Yang L. ^{[1
,2
]}

Hong B. ^{[3
]}

机构：

[1] Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang

[2] Department of Computing Science, Huaiyin Institute of Technology, Huaian

[3] Department of Basic Course, Nanjing Institute of Technology, Nanjing

来源：

Jiangsu Daxue Xuebao (Ziran Kexue Ban) / Journal of Jiangsu University (Natural Science Edition) | 2010年 / 31卷 / 01期

关键词：

Exact solutions; Generalized Jacobian elliptic function expansion method; Klein-Gordon equation; Periodic solutions; Solitary wave solutions;

D O I：

10.3969/j.issn.1671-7775.2010.01.0025

中图分类号：

学科分类号：

摘要：

In this paper four new Jacobian elliptic functions are created by applying methods of projection Riccati equation and Jacobian elliptic functions expansion, which generalize the second method. Moreover, the exact periodic solutions to nonlinear Klein-Gordon equations are given by means of symbolic computation system Mathematica. In particular, the solutions will degenerate to solitary wave solutions and triangle function solutions when the modulus of the Jacobian elliptic function m approaches to 1 or 0.

引用

页码：120 / 124

页数：4

共 8 条

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