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Multi-solitary wave solutions for variant Boussinesq equations and Kupershmidt equations. (English) Zbl 0965.35154
Summary: Using the homogeneous balance method introduced by Wang Mingliang, the multi-solitary wave solutions are obtained for the variant Boussinesq equation and Kupershmidt equation. Wang’s result is a special case of above results for the variant Boussinesq equation.
MSC:
35Q53KdV-like (Korteweg-de Vries) equations
37K40Soliton theory, asymptotic behavior of solutions
References:
[1]Wang Mingliang Solitary wave solutions for the variant Boussinesq equations[J].Phys Lett A, 1995,199(2):169–172. · Zbl 1020.35528 · doi:10.1016/0375-9601(95)00092-H
[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. · Zbl 0694.35207 · doi:10.1016/0167-2789(88)90095-4
[3]Ruan Hangyu, Lou Senyue. 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.