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Bifurcations of traveling wave solutions and exact solutions to generalized Zakharov equation and Ginzburg-Landau equation
Authors:Zhen-xiang?Dai,Yuan-fen?Xu  author-information"  >  author-information__contact u-icon-before"  >  mailto:xuyuanfen@.com"   title="  xuyuanfen@.com"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:Zhen-xiang DAI 1,Yuan-fen XU 2 (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,P. R. China)
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.
Keywords:planar dynamical system  periodic wave solution  nonlinear wave equation
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