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Bifurcations of travelling wave solutions in variant Boussinesq equations

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Abstract

The bifurcations of solitary waves and kink waves for variant Boussinesq equations are studied by using the bifurcation theory of planar dynamical systems. The bifurcation sets and the numbers of solitary waves and kink waves for the variant Boussinesq equations are presented. Several types explicit formulas of solitary waves solutions and kink waves solutions are obtained. In the end, several formulas of periodic wave solutions are presented.

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Authors and Affiliations

  1. School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, 610054, P. R. China

    Yuan Yu-bo Doctor  (袁玉波) (Professor) & Pu Dong-mei  (溥冬梅)

  2. School of Science, University of Science and Technology of Kunming, Kunming, 650093, P. R. China

    Pu Dong-mei  (溥冬梅) & Li Shu-min  (李庶民)

Authors
  1. Yuan Yu-bo Doctor  (袁玉波)
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  2. Pu Dong-mei  (溥冬梅)
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  3. Li Shu-min  (李庶民)
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Corresponding author

Correspondence to Yuan Yu-bo Doctor  (袁玉波).

Additional information

Communicated by LI Ji-bin

Project supported by the Applied Basic Research Foundations of Sichuan Province of China (No.05JY029-068-2)

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Yuan, Yb., Pu, Dm. & Li, Sm. Bifurcations of travelling wave solutions in variant Boussinesq equations. Appl Math Mech 27, 811–822 (2006). https://doi.org/10.1007/s10483-006-0612-z

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  • DOI: https://doi.org/10.1007/s10483-006-0612-z

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