Interactions Between Solitons and Cnoidal Periodic Waves of the Boussinesq Equation

被引：25
|
作者：
Yang Duo [1 ]
Lou Sen-Yue [1 ,2 ]
Yu Wei-Feng [1 ]
机构：
[1] Ningbo Univ, Fac Sci, Ningbo 315211, Zhejiang, Peoples R China
[2] E China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2013年 / 60卷 / 04期
关键词：
interaction; soliton; cnoidal periodic waves; Boussinesq equation; SIMILARITY REDUCTIONS; KDV EQUATION; KP EQUATION;
D O I：
10.1088/0253-6102/60/4/01
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The Boussinesq equation is one of important prototypic models in nonlinear physics. Various nonlinear excitations of the Boussinesq equation have been found by many methods. However, it is very difficult to End interaction solutions among different types of nonlinear excitations. In this peper, two equivalent very simple methods, the truncated Painleve analysis and the generalized tanh function expansion approaches, are developed to find interaction solutions between solitons and any other types of Boussinesq waves.
引用
收藏
页码：387 / 390
页数：4
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