On distinctive solitons type solutions for some important nonlinear Schrödinger equations

Abstract

The extended Jacobi elliptic function expansion (EJEFE) method is used to retrieve several types of optical solitons of two nonlinear Schrödinger equations, namely the Heisenberg ferromagnetic spin chains and Alfvén envelop equations. The obtained traveling wave solutions and the corresponding plots are analysed by means of the symbolic package Mathematica. The solutions show that the proposed strategy is effective and reliable for solving different types of nonlinear differential equations.