On the solitary wave dynamics of complex Ginzburg-Landau equation with cubic nonlinearity

摘要

The complex Ginzburg-Landau equation with cubic nonlinearity is an ubiquitous model for the evolution of slowly varying wave packets in nonlinear dissipative media. In this article the exact solutions for complex Ginzburg-Landau equation using first integral method and (G'/G)-expansion method are obtained. These methods can be applied to non-integrable equations as well as to integrable ones.