New extended direct algebraic method for the resonant nonlinear Schrödinger equation with Kerr law nonlinearity

Abstract

Presented herein is an exact examination on the resonant nonlinear Schrödinger equation (RNLSE) with Kerr law nonlinearity considering inter-modal dispersion and spatio-temporal. To this end, the ordinary differential equation (ODE) is derived from the traveling wave transformation. Then, the new extended direct algebraic method (NEDAM) is utilized in the axial direction to obtain the results of this study. Subsequently, a bunch of optical soliton solutions in conjunction with dark, bright, and dark-bright soliton solutions are plotted. As a result, it is verified the methodology has an effective mathematical gadget to solve nonlinear partial differential equations (NPDEs). © 2020 Elsevier GmbH