Soliton aspects of the inhomogeneous coupled nonlinear Schrödinger equation in optical fibre

Abstract

The inhomogeneous coupled nonlinear Schrodinger (ICNLS) equations which describe the propagation of two fields in a nonuniform fibre medium are considered. The integrable forms of the ICNLS equation are identified from the Painleve singularity structure analysis. The variable transformations which connect the integrable forms of the ICNLS equation and the coupled nonlinear Schrodinger equations (CNLS) are presented. With the help of the linear eigenvalue problem and Backlund transformation, a single-soliton solution is generated explicitly.