title: Exact soliton solutions for a family of N coupled nonlinear Schrodinger equations in optical fiber media
abstract: We consider a family of both homogeneous and inhomogeneous N-coupled nonlinear Schrodinger equations which govern simultaneous propagation of N fields in an optical fiber with various important physical effects. The eigenvalue problem associated with homogeneous equations is constructed with the help of the Ablowitz-Kaup-Newell-Segur method. Using the Backlund transformation method, one-soliton solutions are explicitly derived.
authors.affiliation: Laboratoire de Physique, Universite de Bourgogne, UMR CNRS No. 5027, 9 avenue Savary, Boiinsertion markte Postale 47 870, 21078 Dijon, France.
authors.initials: K
authors.lastname: Nakkeeran