变更Boussinesq方程和Kupershmidt方程的多孤子解

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Multi-Solitary Wave Solutions for Variant Boussinesq Equations and Kupershmidt Equations

1.
Research Centre of Engineering Science, Zhejiang University of Technology, Hangzhou 310032, P. R. China;
2.
Department of Physics and Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China

摘要: 使用王明亮引进的齐次平衡方法,求出了变更Boussinesq方程和Kupershmidt方程的多孤子解,而王明亮给出的变更的Boussinesq方程的单孤子解仅是上述结果的一种特殊情况.
- 齐次平衡法 /
- 多孤波解 /
- Boussinesq方程 /
- Kupershmidt方程
Abstract: Using the homogeneous balance method introduced by Wang Mingliang,the multi-solitary wave solutions are obtained for the variant Boussinesq equation and Kupershmidt equation.The Wang's result is a special case of above results for the variant Boussinesq equation.
- multi-solitary wave solutions /
- balance method /
- Boussinesq equation /
- Kupershmidt equation

[1]	Wang Mingliang.Solitary wave solutions for the variant Boussinesq equations[J].Phys Lett A,1995,199(2):169～172.
[2]	Sach R L.On the integrable variant of the Boussinesq system,Painleve property,rational solutions,a related many body system,and equivalence with the AKNS hierarchy[J].Physica D,1988,30(1):1～27.
[3]	Ruan Hangyu,Lou Sengue.Similarity analysis and Painleve property of the Kupershmidt equation[J].Commun Theor Phys,1993,20(1):73～80.
[4]	Whitham G B.Linear and Nonlinear and Waves[M].New York:Wiley-Interscience,1973

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