Travelling wave solutions in the generalized Hirota–Satsuma coupled KdV system
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摘要
By using the bifurcation theory of dynamical systems to the generalized Hirota–Satsuma coupled KdV system, bifurcation parameter sets are shown. Numbers of solitary waves, kink waves and periodic waves are given. Under various parameter conditions, all explicit formulas of solitary wave solutions and kink wave solutions and periodic wave solutions are listed.
论文关键词:Solitary travelling wave solution,Periodic travelling wave solution,Kink and anti-kink wave solution,Bifurcation theory,Generalized Hirota–Satsuma coupled system
论文评审过程:Available online 15 April 2004.
论文官网地址:https://doi.org/10.1016/j.amc.2003.12.033