Bifurcations of Traveling Wave Solutions and Exact Solutions of Generalized Zakharov Equation and Ginzburg-Landau Equation

DAI Zhen-xiang; XU Yuan-fen

doi:10.3879/j.issn.1000-0887.2011.12.011

Volume 32 Issue 12

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DAI Zhen-xiang, XU Yuan-fen. Bifurcations of Traveling Wave Solutions and Exact Solutions of Generalized Zakharov Equation and Ginzburg-Landau Equation[J]. Applied Mathematics and Mechanics, 2011, 32(12): 1509-1516. doi: 10.3879/j.issn.1000-0887.2011.12.011

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Bifurcations of Traveling Wave Solutions and Exact Solutions of Generalized Zakharov Equation and Ginzburg-Landau Equation

doi: 10.3879/j.issn.1000-0887.2011.12.011

DAI Zhen-xiang¹,
XU Yuan-fen²

1.
School of Information and Art, Ningbo Institute of Education, Ningbo, Zhejiang 315010, P. R. China;

Received Date: 2011-04-29
Rev Recd Date: 2011-10-31
Publish Date: 2011-12-15

Abstract

Abstract

Some exact traveling wave solutions were found of generalized Zakharov equation and GinzburgLandau equation. What are the dynamical behavior of these traveling wave solutions and how do they depend on the parameters of the systems? These questions by using the method of dynamical systems were answered. Six exact explicit parametric representations of the traveling wave solutions for two equations were given.
- planar dynamical system,
- periodic wave solution,
- nonlinear wave equation

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References(7)

References

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