Soliton Solution of Nonlinear Schodniger Equation Using Hirota Method

Abstract

The nonlinear Schrdinger equation with the effects of third-order by using Bilinear Hirota method, the analytic solutions of this model are obtained. According to those solutions, the relevant properties and features of physical and optical interest are illustrated.. Most of nonlinear Schrdinger equation has many applications in physical world. Moreover to find the solutions of Hirota wave third order nonlinear Schrdinger equation are not easily solvable and hence different solved techniques. Among them, we have considered Solving Hirota wave for a third order nonlinear Schrdinger equation using Hirota bilinear method. The Hirota bilinear method was successfully implemented in solving the stated equations. We have obtained third order solutions . The obtained results lead to shallow wave kinds. Furthermore, we considered different parameters to investigate the nature of solutions in using diffirential functions manner. Finally, the proposed method is a standard, effective and easily computable for solving solution for nonlinear Schrdinger equation