Title: Bifurcation and Exact Traveling Wave Solutions for the One-dimensional Complex Ginzburg-Landau Equation
Abstract: Using bifurcation theory from dynamical systems,the bifurcation and exact traveling wave solutions for the one-dimensional complex Ginzburg-Landau(CGL)equation were researched.The nonlinear evolution equation was transformed to planar dynamical system through traveling wave transformation,and qualitative analysis were preformed to the system.With the help of the relationship between the traveling wave solutions of the partial differential equation and the orbits of the corresponding ordinary differential equation,all bifurcation of phase portraits under different parameter conditions were obtained.The explicit parameter expressions of all types of bounded traveling wave solutions were given from the first integral of the traveling wave system.
Publication Year: 2014
Publication Date: 2014-01-01
Language: en
Type: article
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