Exact periodic and blow up solutions for 2D Ginzburg-Landau equation. (English) Zbl 1227.35087

Summary: New exact periodic wave solutions for the 2D Ginzburg-Landau equation are obtained using the homogeneous balance principle and general Jacobi elliptic function method. Furthermore, a blow up solution is provided. At the end, some properties about these solutions are showed by the graphs.


35B41 Attractors
35C07 Traveling wave solutions
33E05 Elliptic functions and integrals
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