Bright and dark soliton solutions to coupled nonlinear Schrodinger equations

Abstract

A set of two coupled nonlinear Schrodinger equations (CNLS) describes the two mode propagation in an optical fibre. The Painleve singularity structure analysis singles out two integrable parametric choices, including the Manakov model. Using the results of Painleve analysis, we succeed in Hirota bilinearizing the CNLS equations in both the anomalous as well as normal dispersion regions for the integrable cases. Solving the Hirota bilinear equations, bright and dark N-soliton solutions are explicitly obtained.