BIFURCATIONS OF EXACT TRAVELLING WAVE SOLUTIONS FOR THE GENERALIZED R-K-L EQUATION

Jianming Zhang; Shuming Li; Hongpeng Geng

doi:10.11948/2016080

2016 Volume 6 Issue 4

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Jianming Zhang, Shuming Li, Hongpeng Geng. BIFURCATIONS OF EXACT TRAVELLING WAVE SOLUTIONS FOR THE GENERALIZED R-K-L EQUATION[J]. Journal of Applied Analysis & Computation, 2016, 6(4): 1205-1210. doi: 10.11948/2016080

Citation:

Jianming Zhang, Shuming Li, Hongpeng Geng. BIFURCATIONS OF EXACT TRAVELLING WAVE SOLUTIONS FOR THE GENERALIZED R-K-L EQUATION[J]. Journal of Applied Analysis & Computation, 2016, 6(4): 1205-1210. doi: 10.11948/2016080

BIFURCATIONS OF EXACT TRAVELLING WAVE SOLUTIONS FOR THE GENERALIZED R-K-L EQUATION

1 Department of Engineering Mechanics, Kunming University of Science and Technology, 727 South Jingming Rd, 650500 Kunming, China;
2 Department of System Science and Applied Mathematics, Kunming University of Science and Technology, 727 South Jingming Rd, 650500 Kunming, China

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Abstract

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.
- Nonlinear wave /
- bifurcation /
- exact explicit travelling wave solution /
- soliton solution /
- generalized Radhakrishnan /
- Kundu /
- Lakshmanan equation
MSC: 35Q51;78A60

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References

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