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Bifurcations of exact travelling wave solutions for the generalized R-K-L equation
Authors:Jianming Zhang  Shuming Li  Hongpeng Geng
Affiliation:Department of Engineering Mechanics, Kunming University of Science and Technology, 727 South Jingming Rd, 650500 Kunming, China,Department of System Science and Applied Mathematics, Kunming University of Science and Technology, 727 South Jingming Rd, 650500 Kunming, China and Department of Engineering Mechanics, Kunming University of Science and Technology, 727 South Jingming Rd, 650500 Kunming, China
Abstract:Using the method of dynamical systems for the the generalized Radhakrishnan, Kundu, Lakshmanan equation, the existence of soliton solutions, uncountably infinite many periodic wave solutions and unbounded wave solution are obtained. Exact explicit parametric representations of the above travelling solutions are given. To guarantee the existence of the above solutions, all parameter conditions are determined.
Keywords:Nonlinear wave   bifurcation   exact explicit travelling wave solution   soliton solution   generalized Radhakrishnan   Kundu   Lakshmanan equation.
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