Soliton and breather solutions for the mixed nonlinear schrödinger equation via N -fold darboux transformation

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. © 2014 hui-qin hao et al.