论文信息 - New exact homoclinic wave and periodic wave solutions for the Ginzburg-Landau equation

New exact homoclinic wave and periodic wave solutions for the Ginzburg-Landau equation

Abstract New exact solutions including homoclinic wave and periodic wave solutions for the 2D Ginzburg–Landau equation are obtained using the auxiliary function method and the G ′ G -expansion method, respectively. The solutions are expressed by the hyperbolic functions and the trigonometric functions. There result shows that there exists a kink wave solution which tends to one and the same periodic wave solution as time tends to infinite.

Zitian Li

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