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

Uthayakumar, A. ; Porsezian, K. ; Nakkeeran, K. (1998) Soliton aspects of the inhomogeneous coupled nonlinear Schrödinger equation in optical fibre Pure and Applied Optics: Journal of the European Optical Society Part A, 7 (6). pp. 1459-1464. ISSN 0963-9659

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Official URL: http://iopscience.iop.org/0963-9659/7/6/022

Related URL: http://dx.doi.org/10.1088/0963-9659/7/6/022

Abstract

The inhomogeneous coupled nonlinear Schrödinger (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 Painlevé singularity structure analysis. The variable transformations which connect the integrable forms of the ICNLS equation and the coupled nonlinear Schrödinger equations (CNLS) are presented. With the help of the linear eigenvalue problem and Bäcklund transformation, a single-soliton solution is generated explicitly.

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