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.
@article{arxiv.1001.0727,
title = {Solitary wave solution to the generalized nonlinear Schrodinger equation for dispersive permittivity and permeability},
author = {Amarendra K. Sarma},
journal= {arXiv preprint arXiv:1001.0727},
year = {2015}
}