| Volume 6, Number 4, 2016, Pages 1205-1210 DOI：10.11948/2016080 |
| Bifurcations of exact travelling wave solutions for the generalized R-K-L equation |
| Jianming Zhang,Shuming Li,Hongpeng Geng |
| Keywords:Nonlinear wave, bifurcation, exact explicit travelling wave solution, soliton solution, generalized Radhakrishnan, Kundu, Lakshmanan equation. |
| 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. |
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