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.

引用

页码：2202 / 2209

页数：8

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