Soliton and Breather Solutions for the Mixed Nonlinear Schrödinger Equation via N-Fold Darboux Transformation

Abstract EN

Under investigation in this paper is the mixed nonlinear Schrödinger equation, which describes the propagation of the subpicosecond or femtosecond optical pulse in a monomodal optical fiber.

The Darboux transformation is constructed and N-times iterative potential formula is presented.

Two-soliton and breather solutions are derived on the vanishing and two types of nonvanishing backgrounds: the continuous wave(cw) background and constant background, respectively.

The dynamic features of the solitons and breathers are discussed via analytic solutions and graphical illustration.