Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (6): 811-822 .doi: https://doi.org/10.1007/s10483-006-0612-z
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袁玉波, 溥冬梅, 李庶民
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YUAN Yu-bo, PU Dong-mei, LI Shu-min
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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.
Key words: Hamiltonian system, Boussinesq equations, bifurcation, solitary waves solutions, kink waves solutions
中图分类号:
O175.14
34A34
袁玉波;溥冬梅;李庶民. BIFURCATIONS OF TRAVELLING WAVE SOLUTIONS IN VARIANT BOUSSINESQ EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2006, 27(6): 811-822 .
YUAN Yu-bo;PU Dong-mei;LI Shu-min. BIFURCATIONS OF TRAVELLING WAVE SOLUTIONS IN VARIANT BOUSSINESQ EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2006, 27(6): 811-822 .
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链接本文: https://www.amm.shu.edu.cn/CN/10.1007/s10483-006-0612-z
https://www.amm.shu.edu.cn/CN/Y2006/V27/I6/811