Bifurcation method and traveling wave solution to Whitham–Broer–Kaup equation
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摘要
By using bifurcation method to Whitham–Broer–Kaup shallow water equations, 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, kink wave solutions and periodic wave solutions are listed.
论文关键词:Solitary wave solution,Kink and anti-kink wave solution,Periodic wave solution,WBK equations,Bifurcation theory,Dynamical systems
论文评审过程:Available online 18 March 2005.
论文官网地址:https://doi.org/10.1016/j.amc.2005.01.078