Exact traveling wave solutions for an integrable nonlinear evolution equation given by M. Wadati

LI Ji-bin

doi:10.1007/s10483-008-0402-y

Applied Mathematics and Mechanics >

2008 , Vol. 29 >Issue 4: 437 - 440

DOI: https://doi.org/10.1007/s10483-008-0402-y

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Exact traveling wave solutions for an integrable nonlinear evolution equation given by M. Wadati

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1. School of Science, Kunming University of Science and Technology, Kunming 650093, P. R. China;
2. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang Province, P. R. China

Received date: 2008-02-19

Revised date: 2008-03-05

Online published: 2008-04-18

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Abstract

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

Key words： kink and anti-kink wave solutions; nonlinear evolution equation; solitary wave solution; periodic wave solution

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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) : 437 -440 . DOI: 10.1007/s10483-008-0402-y

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