Exact Traveling Wave Solutions for an Integrable Nonlinear Evolution Equation Given by M. Wadati

LI Ji-bin

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LI Ji-bin. Exact Traveling Wave Solutions for an Integrable Nonlinear Evolution Equation Given by M. Wadati[J]. Applied Mathematics and Mechanics, 2008, 29(4): 393-397.

Citation:

LI Ji-bin. Exact Traveling Wave Solutions for an Integrable Nonlinear Evolution Equation Given by M. Wadati[J]. Applied Mathematics and Mechanics, 2008, 29(4): 393-397.

Citation:

LI Ji-bin. Exact Traveling Wave Solutions for an Integrable Nonlinear Evolution Equation Given by M. Wadati[J]. Applied Mathematics and Mechanics, 2008, 29(4): 393-397.

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Exact Traveling Wave Solutions for an Integrable Nonlinear Evolution Equation Given by M. Wadati

LI Ji-bin^1,2

1.
School of Science, Kunming University of Science and Technology, Kunming 650093, P. R. China;

Received Date: 2008-02-19
Rev Recd Date: 2008-03-05
Publish Date: 2008-04-15

Abstract

Abstract

By using the method of dynamical systems,the travelling wave solutions of for an integrable nonlinear evolution equation was studied.Exact explicit parametric representations of kink and anti-kink wave solutions,periodic wave solutions and uncountably infinite many smooth solitary wave solutions are given.
- solitary wave solution,
- kink wave solution,
- anti-kink wave solution,
- periodic wave solution,
- nonlinear evolution equation

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References(5)

References

[1]	Wadati M,Ichikawa Y H,Shimizu T.Cusp soliton of a new integrable nonlinear evolution equation[J].Progress of Theoretical Physics,1980,64(6):1959-1967. doi: 10.1143/PTP.64.1959
[2]	LI Ji-bin,DAI Hui-hui.On the Study of Singular Nonlinear Travelling Wave Equations: Dynamical Approach[M].Beijing:Science Press,2007.
[3]	LI Ji-bin,WU Jia-hong,ZHU Huai-ping.Travelling waves for an integrable higher order KdV type wave equations[J].International Journal of Bifurcation and Chaos,2006,16(8):2235-2260. doi: 10.1142/S0218127406016033
[4]	LI Ji-bin,CHEN Guan-rong.On a class of singular nonlinear traveling wave equations[J].International Journal of Bifurcation and Chaos,2007,17(11)：4049-4065. doi: 10.1142/S0218127407019858
[5]	Byrd P F,Fridman M D.Handbook of Elliptic Integrals for Engineers and Sciensists[M].Berlin:Springer,1977.