Solving rogue waves for a third order nonlinear Schr¨ Odingere quation usinghirota bilinear method

Abstract

The nonlinear Schr¨ odinger equation with the effects of third-order by us ing Hirota’s bilinear 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 Schr¨ odinger equation has many applications in physical world. Moreover to find the solutions of Rogue wave third order nonlinear Schr¨ odinger equation are not easily solvable and hence different solved techniques. Among them, we have considered Solving rogue waves for a third order nonlinear Schr¨ odinger equation using Hirota bi linear method. The Hirota bilinear method was successfully implemented in solving the stated equations. We have obtained third order solutions and the obtained solutions were illustrated graphically using mathematica software-12. The obtained results lead to shallow wave kinds. Furthermore, we considered different parameters to investigate the nature of solutions in graphical manner. Finally, the proposed method is a standard, effective and easily computable for solving rogue waves for a third order nonlinear Schr¨ odinger equation