New exact solutions of the (2+1)-dimensional KdV equation with variable coefficients

被引：17

作者：

Shen, SF ^{[1
]}

Zhang, J

Ye, C

Pan, ZL

机构：

[1] Zhejiang Univ Technol, Dept Math, Hangzhou 310014, Peoples R China

[2] Zhejiang Forestry Coll, Dept Math, Linan 311300, Peoples R China

[3] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China

来源：

PHYSICS LETTERS A | 2005年 / 337卷 / 1-2期

关键词：

KdV equation; Jacobi elliptic function; hyperbolic function; exact solution;

D O I：

10.1016/j.physleta.2005.01.056

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this Letter, the modified Jacobi elliptic function expansion method is applied to solve the (2 + 1)-dimensional KdV equation with variable coefficients. As a consequence, abundant families of Jacobi elliptic function solutions are obtained. When the modulus m -> 1, those periodic solutions degenerate as the corresponding hyperbolic function solutions. (c) 2005 Published by Elsevier B.V.

引用

页码：101 / 106

页数：6

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