Transformations for the variable coefficient Ginzburg-Landau equation with symbolic computation

This article is devoted to seek the solutions of the variable coefficient Ginzburg-Landau (vcGL) equation. With the help of symbolic computation and a direct ansätz, four transformations, reduction of the vcGL equation to the standard and cylindrical nonlinear Schrödinger equation, which have been found as variety of analytic solutions were obtained. Substituting these solutions into those transformations, the corresponding analytic solutions for the vcGL were obtained.