Multiple optical soliton solutions for CGL equation with Kerr law nonlinearity via extended modified auxiliary equation mapping method

Abstract

In this article, multiple optical soliton solutions are obtained using more intrinsic and suitable conditions on complex Ginzburg-Landau equation with Kerr law nonlinearity. The extended modified auxiliary equation mapping method is applied on this model in this regard. Optical soliton solutions such as, kink wave, dark soliton, bright soliton, singular soliton and bright and dark soliton solutions are explored with the help of three parameters which are of key importance for this strategy. In order to show the wave pattern of obtained solutions, three dimensional plots and corresponding two dimensional contours are also presented. Moreover, the prescribed strategy is more powerful and proficient to find out multiple soliton solutions for various nonlinear partial differential equations.