New optical solitons for nonlinear Schrödinger equation with dual-power law nonlinearity by two analytical methods

Abstract
In this study, we investigate the generalized perturbed nonlinear Schrödinger equation with dual-power law nonlinearity, a critical model, which displays perturbations’ effects, including intermodal dispersion, shift in self-frequency, and self-steepening. This model delineates the evolution of femtosecond optical pulses in nonlinear dispersive media. The (G\'∕G,1∕G)-expansion and tan(ψ(ξ)/2)-expansion methods are employed to uncover diverse exact optical solutions of the model. We provide explicit solutions, encompassing bright, kink, singular, singular periodic, singular kink, and periodic soliton solutions. Furthermore, we analyze the stability of the constructed solutions and examine the effects of time on the solutions. Graphical depictions of selected solutions are supplied to demonstrate both the dynamical characteristics of the solutions and the influence of altering the degree of nonlinearity on their dynamical behaviors.

Author
Hajar Farhan Ismael

DOI
https://doi.org/10.1142/S021798492550188X

Publisher

ISSN
0217-9849

Publish Date: