Multi-Solitary Wave Solutions for Variant Boussinesq Equations and Kupershmidt Equations
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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.
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关键词:
- 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. -
[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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