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
