Bifurcations of traveling wave solutions and exact solutions to generalized Zakharov equation and Ginzburg-Landau equation

DAI Zhen-Xiang;XU Yuan-Fen

doi:10.1007/s10483-011-1528-9

2011 , Vol. 32 >Issue 12: 1615 - 1622

DOI: https://doi.org/10.1007/s10483-011-1528-9

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Bifurcations of traveling wave solutions and exact solutions to generalized Zakharov equation and Ginzburg-Landau equation

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1. School of Information and Art, Ningbo Institute of Education, Ningbo 315010, Zhejiang Province, P. R. China;
2. Junior College, Zhejiang Wanli University, Ningbo 315101, Zhejiang Province, P. R. China

Received date: 2011-04-29

Revised date: 2011-10-30

Online published: 2011-12-01

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Abstract

This paper studies the dynamic behaviors of some exact traveling wave solutions to the generalized Zakharov equation and the Ginzburg-Landau equation. The effects of the behaviors on the parameters of the systems are also studied by using a dynamical system method. Six exact explicit parametric representations of the traveling wave solutions to the two equations are given.

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DAI Zhen-Xiang;XU Yuan-Fen . Bifurcations of traveling wave solutions and exact solutions to generalized Zakharov equation and Ginzburg-Landau equation[J]. Applied Mathematics and Mechanics, 2011 , 32(12) : 1615 -1622 . DOI: 10.1007/s10483-011-1528-9

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