Variable-coefficient higher-order nonlinear Schrodinger model in optical fibers: New transformation with burstons, brightons and symbolic computation

In a realistic fiber of weakly dispersive and nonlinear dielectrics with distributed parameters, a variable-coefficient higher-order nonlinear Schrodinger (vcHNLS) model can be used to describe the femtosecond pulse propagation, applicable to, e.g., the design of ultrafast signal-routing and dispersion-managed fiber-transmission systems. In this Letter, new transformation is proposed, by virtue of symbolic computation, from a vcHNLS model to its known constant-coefficient counterpart without amplification/absorption. Features of the transformation are analyzed, and constraints on the variable coefficients are presented. Such physically/optically interesting examples as the variable-coefficient burstons and brightons are constructed in explicit forms with their properties discussed. Burstons and brightons are potentially observable with future optical fiber experiments. (c) 2006 Elsevier B.V. All rights reserved.