Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (6): 811-822 .doi: https://doi.org/10.1007/s10483-006-0612-z

• 论文 • 上一篇    下一篇

BIFURCATIONS OF TRAVELLING WAVE SOLUTIONS IN VARIANT BOUSSINESQ EQUATIONS

袁玉波, 溥冬梅, 李庶民   

  • 收稿日期:2003-12-20 修回日期:2006-03-06 出版日期:2006-06-18 发布日期:2006-06-18
  • 通讯作者: 袁玉波

BIFURCATIONS OF TRAVELLING WAVE SOLUTIONS IN VARIANT BOUSSINESQ EQUATIONS

YUAN Yu-bo, PU Dong-mei, LI Shu-min   

    1. School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu 610054, P. R. China;
    2. School of Science, University of Science and Technology of Kunming, Kunming 650093, P. R. China
  • Received:2003-12-20 Revised:2006-03-06 Online:2006-06-18 Published:2006-06-18
  • Contact: YUAN Yu-bo

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.

Key words: Hamiltonian system, Boussinesq equations, bifurcation, solitary waves solutions, kink waves solutions

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