Optical solitons of nonlinear complex Ginzburg-Landau equation via two modified expansion schemes

This article examines the complex Ginzburg-Landau equation with the beta time derivative and analyze its optical solitons and other solutions in the appearance of a detuning factor in non-linear optics. The kink, bright, W-shaped bright, and dark solitons solution of this model are acquired using the modified Exp-function and Kudryshov methods. The model is examined with quadratic-cubic law, Kerr law, and parabolic laws non-linear fibers. These solitons emerge with restrictive conditions that ensure their existence are also presented. Furthermore, the obtained and precise solutions are graphically displayed, illustrating the impact of non-linearity. The various forms of solutions to the aforementioned nonlinear equation that arises in fluid dynamics and nonlinear processes are presented.

Automated summary

This article examines the complex Ginzburg-Landau equation with beta time derivative and analyzes its optical solitons and other solutions in the presence of a detuning factor in non-linear optics. Various solutions, including kink, bright, W-shaped bright, and dark solitons, are obtained using the modified Exp-function and Kudryshov methods. The model is examined in quadratic-cubic law, Kerr law, and parabolic laws non-linear fibers, and the restrictive conditions for the existence of solitons are presented. The obtained precise solutions are graphically displayed to illustrate the impact of non-linearity.