Unraveling solitons dynamics in system of dispersive NLSE with Kudryashov's law of nonlinearity using improved modified extended tanh function method

Abstract

In this work, the dynamics for coupled system of dispersive nonlinear Schrödinger equation with Kudryashov's law of nonlinearity are studied with the aid of improved modified extended tanh function method. This model is used to mimic the wave propagation through magneto-optic wave guides. Various types of solutions are extracted for the proposed model. These solutions including dark solitons, bright solitons and singular solitons, Weierstrass elliptic and singular periodic solutions. Moreover, the graphical illustrations of some solutions are introduced to demonstrate the nature of them.