Generalized Darboux transformation, solitonic interactions and bound states for a coupled fourth-order nonlinear Schrodinger system in a birefringent optical fiber

The optical fiber communication system is one of the components of a supporting system in the modern Internet fields. Under investigation in this paper is a coupled fourth-order nonlinear Schrodinger system, which describes the ultrashort optical pluses in a birefringent optical fiber. By virtue of the existing Lax pair, generalized Darboux transformation, two- and three-soliton solutions are derived, with respect to the polarization components of the electric field. Based on such solutions, we graphically display (1) the elastic interactions between/among the two/three solitons on a zero-intensity background, where amplitudes of the solitons remain unchanged; (2) the inelastic interactions between/among the two/three solitons, where amplitudes of the solitons change; (3) the bound state among the three solitons; (4) the higher-order linear and nonlinear effects, represented by beta, on the polarization components of the electric field: The interval between two peaks becomes smaller and the numbers of the peaks increase when the value of beta increases; The three solitons move along the positive time direction when the value of beta decreases; The distances between the adjacent peaks become smaller when the value of beta increases. (C) 2020 Elsevier Ltd. All rights reserved.

Automated summary

This study investigates the ultrashort optical pulses in a birefringent optical fiber through solving a coupled fourth-order nonlinear Schrödinger system. Soliton interactions, polarizations changes with beta value variations, and other nonlinear effects are analyzed and graphically displayed in the research.