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

Governing the simultaneous propagation of NN fields in optical fibers and plasmas, the inhomogeneous NN-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 NN-coupled nonlinear Schrödinger equations are derived using the bilinear method with illustrated graphics. Additionally, the Bäcklund transformation in bilinear form is constructed.