Expansion method about the Jacobi elliptic function and its applications to nonlinear wave equations

被引：159
|
作者：
Liu, SK [1 ]
Fu, ZT
Liu, SD
Zhao, Q
机构：
[1] Peking Univ, Dept Geophys, Beijing 100871, Peoples R China
[2] Peking Univ, State Key Lab Turbulence Res, Beijing 100871, Peoples R China
来源：
ACTA PHYSICA SINICA | 2001年 / 50卷 / 11期
关键词：
Jacobi elliptic function; nonlinear equation; periodic solution; solitary wave solution;
D O I：
10.7498/aps.50.2068
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A Jacobi elliptic function expansion method is proposed to construct the exact periodic solutions of nonlinear wave equations. This new method contains the hyperbolic tangent expansion method, and the periodic solutions obtained by this method, include the shock wave solutions and the solitary wave solutions.
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页码：2068 / 2073
页数：6
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