Abstract:With the aid of symbolic computation system Map le and by using the extended tanh-function method, the exp licit exact travellywave solutions of extended higher-order nonlinear schrÊdinger equation including the self-steepe-ning and self-frequency shift effect are obtained,which include bright soliton, dark soliton, soliton-like solutions and a new type of soliton solutions. Moreover, it is pointed out that the bright soliton exists in negative third-order dispersion regime and the dark soliton exists inpositive third-order dispersion regime.