Construction of doubly-periodic solutions to nonlinear partial differential equations using improved Jacobi elliptic function expansion method and symbolic computation

被引：25
|
作者：
Zhao Xue-Qin [1 ]
Zhi Hong-Yan
Zhang Hong-Qing
机构：
[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China
[2] Qufu Normal Univ, Dept Math, Qufu 273165, Peoples R China
来源：
CHINESE PHYSICS | 2006年 / 15卷 / 10期
关键词：
Jacobi elliptic function method; doubly-periodic solutions; Zakharov- Kuznetsov equation;
D O I：
10.1088/1009-1963/15/10/003
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Some doubly-periodic solutions of the Zakharov-Kuznetsov equation are presented. Our approach is to introduce an auxiliary ordinary differential equation and use its Jacobi elliptic function solutions to construct doubly-periodic solutions of the Zakharov-Kuznetsov equation, which has been derived by Gottwald as a two-dimensional model for nonlinear Rossby waves. When the modulus k -> 1, these solutions reduce to the solitary wave solutions of the equation.
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页码：2202 / 2209
页数：8
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