Painlev,-integrability and explicit solutions of the general two-coupled nonlinear Schrodinger system in the optical fiber communications

A general two-coupled nonlinear Schrodinger system is investigated with symbolic computation. The system is regarded to be a more general model than other coupled nonlinear Schrodinger systems since its coefficients of the self-phase modulation, cross-phase modulation, and four-wave mixing terms are arbitrary. Painlev,-integrability associated with the system is examined by means of Painlev, test. As a result, Painlev,-Backlund transformation is constructed with truncating the Laurent series at the constant level term. In addition, a family of explicit solutions corresponding to the vacuum solutions are derived through the Painlev,-Backlund transformation.