Variable-coefficient higher-order nonlinear Schrödinger 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 Schrödinger (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.