COUPLED HIGHER-ORDER NONLINEAR SCHRODINGER-EQUATIONS IN NONLINEAR OPTICS - PAINLEVE ANALYSIS AND INTEGRABILITY

A set of coupled higher-order nonlinear Schrodinger equations which can be derived from the electromagnetic pulse propagations in coupled optical waveguides and in a weakly relativistic plasma with nonlinear coupling of two polarized transverse waves is proposed. Using the Painleve singularity structure analysis, we show that it admits the Painleve property and hence we expect that it will exhibit soliton-type lossless propagations.