Dynamic solitons for the perturbed derivative nonlinear Schrödinger equation in nonlinear optics

Abstract

Dynamic solitons for a perturbed derivative nonlinear Schrödinger equation in nonlinear optics are presented for the first time in this paper. The analytic one-soliton solution for the perturbed derivative nonlinear Schrödinger equation is obtained with the Hirota method. The stable transmission soliton is observed and the influences of third-order dispersion and nonlinear coefficients are discussed. The characteristics and properties of solitons are analyzed and the stability analysis for the solitons is made. The salient features of the solitons reveal the possibility for the stable transmission of pulses in nonlinear optics.