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
Citation: 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

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