Soliton solutions of the improved perturbed nonlinear Schrödinger equation having parabolic law with non-local nonlinearity in the presence of chromatic and spatio-temporal dispersion terms

Abstract

This paper was organized to examine the analytical solutions of the improved perturbed
nonlinear Schr ̈odinger equation with parabolic law with non-local nonlinearity in the pres-
ence of chromatic dispersion and spatio-temporal dispersion. This model mostly makes use
of studying the propagation of optical pulses in fiber optic communication systems. We
performed the Sinh-Gordon equation expansion method so that we produce the analytical
solutions of the model under consideration. It was confirmed that the acquired solutions
satisfy the main model. Therefore, bright and dark soliton solutions were retrieved; besides,
various 3D and 2D graphical illustrations of the solitons were demonstrated via appropriate
values of the parameters. Furthermore, this manuscript focused on the parameters’ effect
on the acquired solitons behavior.