Beta-Derivative and Sub-Equation Method Applied To the Optical Solitons in Medium With Parabolic Law Nonlinearity and Higher Order Dispersion

Abstract

By using the sub-equation method, we construct the analytical solutions of the space-time generalized nonlinear Schrodinger equation involving the beta-derivative. This equation describing the propagation of ultra-short optical solitons through parabolic law medium. Nonlinear perturbations of higher-order and self-steepening terms are taken into account. As a result, some new exact solutions are constructed under constraint conditions. (C) 2017 Elsevier GmbH. All rights reserved.