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

Zhang Jiefang

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Zhang Jiefang. Multi-Solitary Wave Solutions for Variant Boussinesq Equations and Kupershmidt Equations[J]. Applied Mathematics and Mechanics, 2000, 21(2): 171-175.

Citation:

Zhang Jiefang. Multi-Solitary Wave Solutions for Variant Boussinesq Equations and Kupershmidt Equations[J]. Applied Mathematics and Mechanics, 2000, 21(2): 171-175.

Citation:

Zhang Jiefang. Multi-Solitary Wave Solutions for Variant Boussinesq Equations and Kupershmidt Equations[J]. Applied Mathematics and Mechanics, 2000, 21(2): 171-175.

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

Zhang Jiefang^1,2

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

Received Date: 1998-09-01
Rev Recd Date: 1999-05-14
Publish Date: 2000-02-15

Abstract

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

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References(4)

References

[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