Solitary wave solution to the generalized nonlinear Schrodinger equation for dispersive permittivity and permeability

preprint2010arXivOpen access

Abstract

We present a solitary wave solution of the generalized nonlinear Schrodinger equation for dispersive permittivity and permeability using a scaling transformation and coupled amplitude-phase formulation. We have considered the third-order dispersion effect (TOD) into our model and show that soliton shift may be suppressed in a negative index material by a judicious choice of the TOD and self-steepening parameter.

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