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

作者：Li Zitian^*

来源：Applied Mathematics and Computation, 2010, 217(4): 1549-1554.

DOI：10.1016/j.amc.2009.06.038

• Ginzburg-Landau equation
• (G '/G)-expansion method
• Auxiliary function method
• Periodic wave
• Homoclinic

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.

• 出版日期2010-10-15
• 单位曲靖师范学院