New Ansätze for Obtaining Exact Solutions of Nonlinear Schrödinger-Type Equation

We propose two simple ansätze that allow us to obtain different analytical solutions for two generalized versions of the nonlinear Schrödinger equation, such as the averaged dispersive-managed fiber system equation and the extended nonlinear Schrödinger equation which describe the femtosecond pulse propagation in monomode optical fiber. Among these solutions we can find solitary wave and periodic wave solutions representing the propagation of different waveforms in nonlinear media.