New travelling wave solutions to the Ginzburg-Landau equation

The Backlund transformation method of Riccati equation is an efficient method for obtaining exact solutions of some nonlinear partial differential equations. These results are going to be very useful in various areas of hydrodynamics, plasma physics, molecular biology, quantum mechanics, nonlinear optics and others. The proposed scheme can be used in a wide class of nonlinear reaction–diffusion equations.

Keywords:

2D Ginzburg-Landau equation , Backlund transformation method , Riccati equation.