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Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (12): 1615-1622.doi: https://doi.org/10.1007/s10483-011-1528-9

• Articles • Previous Articles    

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

 DAI Zhen-Xiang1, XU Yuan-Fen2   

  1. 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:2011-04-29 Revised:2011-10-30 Online:2011-12-09 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.

2010 MSC Number: 

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