Optical solitons of a high-order nonlinear Schrodinger equation involving nonlinear dispersions and Kerr effect

The main aim of this paper is to conduct a detailed study on a high-order nonlinear Schrodinger (HONLS) equation involving nonlinear dispersions and the Kerr effect. More precisely, after reducing the governing model describing ultra-short pulses in optical fibers in a one-dimensional domain, its optical solitons including the bright and dark solitons are derived through the modified Kudryashov (MK) method. The dynamical behavior of the bright and dark solitons is formally investigated for different sets of the involved parameters. It is shown that increasing and decreasing nonlinear dispersions lead to significant changes in the amplitude of the bright and dark solitons.

Automated summary

The main aim of this paper is to conduct a detailed study on a high-order nonlinear Schrodinger equation involving nonlinear dispersions and the Kerr effect. Optical solitons, including bright and dark solitons, are derived through the modified Kudryashov method after reducing the governing model describing ultra-short pulses in optical fibers in a one-dimensional domain. The dynamical behavior of these solitons is formally investigated for different sets of parameters, showing that nonlinear dispersions have significant effects on the soliton amplitudes.