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.
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页码：101 / 106
页数：6
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