New exact solutions for nonlinear Klein-Gordon equations

被引：10

作者：

Han, ZX ^{[1
]}

机构：

[1] Zhejiang Gongshang Univ, Coll Stat & Comp Sci, Hangzhou 310035, Peoples R China

来源：

ACTA PHYSICA SINICA | 2005年 / 54卷 / 04期

关键词：

Jacobi elliptic function; nonlinear evolution equation; exact solution;

D O I：

10.7498/aps.54.1481

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using the travelling wave transformation instead of the more general function transformation, the modified Jacobi elliptic function expansion method is improved. Some new periodic solutions of nolinear Klein-Gordon equation are obtained using this method. When modulus m -> 1 or m -> 0, these periodic solutions degenerate to the corresponding solitary wave solutions, trigonometric function solutions or irregular travelling wave solutions. For some nonlinear equations I the general transformation would degenerate to the travelling wave reduction under certain conditions.

引用

页码：1481 / 1484

页数：4

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