Bifurcations of traveling wave solutions and exact solutions to generalized Zakharov equation and Ginzburg-Landau equation
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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.
Key wordsplanar dynamical system periodic wave solution nonlinear wave equation
Chinese Library ClassificationO357.1
2010 Mathematics Subject Classification34C37 34C23 74J30 58Z05
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