Solitonic solutions and Bäcklund transformation for the inhomogeneous N-coupled nonlinear Schrödinger equations

Xiang-Hua Meng, Bo Tian, Tao Xu, Hai-Qiang Zhang and Qian Feng

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 2, 209-217

Abstract: Governing the simultaneous propagation of N fields in optical fibers and plasmas, the inhomogeneous N-coupled nonlinear Schrödinger equations are, with symbolic computation, analytically investigated in this paper. As one of the important integrable properties, the explicit one- and two-solitonic solutions for the inhomogeneous N-coupled nonlinear Schrödinger equations are derived using the bilinear method with illustrated graphics. Additionally, the Bäcklund transformation in bilinear form is constructed.

Keywords: Inhomogeneous N-coupled nonlinear Schrödinger equations; Solitonic solution; Bäcklund transformation; Bilinear method; Symbolic computation (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:2:p:209-217

DOI: 10.1016/j.physa.2008.09.033

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