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

Under investigation in this paper is the mixed nonlinear Schr "odinger 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.