Optical solitons of the perturbed nonlinear Schrodinger equation in Kerr media

What the paper will show is how we attempt to get analytical solutions of the perturbed nonlinear Schrodinger equation in the presence of time-and space-dependent dissipation (or gain) and nonlinear dispersion with Kerr law by complete discriminant system for polynomial method. The analytical solutions which include solitary wave solutions, Jacobian elliptic function solutions, triangular function solutions and rational solutions, act on the propagations of optical pulse in dissipation (or gain) optical fibers with GOD, IMD, self-steepening and nonlinear dispersion.

Automated summary

This paper demonstrates how to obtain analytical solutions of the perturbed nonlinear Schrodinger equation in the presence of time-and space-dependent dissipation (or gain) and nonlinear dispersion with Kerr law by complete discriminant system for polynomial method. The analytical solutions discussed include solitary wave solutions, Jacobian elliptic function solutions, triangular function solutions and rational solutions, and their effects on the propagations of optical pulse in dissipation (or gain) optical fibers are analyzed.