N-soliton solutions in the higher-order nonlinear Schroedinger equation

摘要

We investigated the possible solutions of the higher order nonlinear Schroedinger equation describing femtosecond optical pulses in an optical fiber system. By using the Hirota direct method, we derived a fundamental solitary wave solution for arbitrary parameters and a N-soliton solution under some conditions. The significance of the soliton solution was discussed.