Variable-coefficient higher-order nonlinear Schrodinger model in optical fibers: Variable-coefficient bilinear form, Backlund transformation, brightons and symbolic computation

Symbolically investigated in this Letter is a variable-coefficient higher-order nonlinear Schrodinger (vcHNLS) model for ultrafast signal-routing, fiber laser systems and optical communication systems with distributed dispersion and nonlinearity management. Of physical and optical interests. with bilinear method extend, the vcHNLS model is transformed into a variable-coefficient bilinear form, and then an auto-Backlund transformation is constructed. Constraints on coefficient functions are analyzed. Potentially observable with future optical-fiber experiments, variable-coefficient brightons are illustrated. Relevant properties and features are discussed as well. Backlund transformation and other results of this Letter will be of certain value to the studies on inhomogeneous fiber media, core of dispersion-managed brightons, fiber amplifiers, laser systems and optical communication links with distributed dispersion and nonlinearity management. (c) 2007 Published by Elsevier B.V.