Dark soliton control based on dispersion and nonlinearity for third-order nonlinear Schrödinger equation

Abstract Nonlinear control is widely used in optical communications, ultrafast optics and other fields. In this paper, nonlinear control based on the dark soliton is investigated in the dispersion management system. Dark soliton solutions for the third-order nonlinear Schrodinger equation are derived. Through changing the group velocity dispersion and nonlinear parameters, the propagation characteristics of dark solitons are discussed, and the influences of corresponding parameters on dark solitons are analyzed. Some nonlinear control methods based on specific parameters are suggested. Results are beneficial to the study of the dark soliton transmission.