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Dynamics of topological optical solitons with time-dependent dispersion, nonlinearity and attenuation
Journal article   Peer reviewed

Dynamics of topological optical solitons with time-dependent dispersion, nonlinearity and attenuation

Benjamin J.M. Sturdevant, Dawn A. Lott and Anjan Biswas
Communications in nonlinear science & numerical simulation, Vol.14(8), pp.3305-3308
08/2009
DOI: https://doi.org/10.1016/j.cnsns.2008.12.014

Abstract

Attenuation Dark solitons Riemann integrability
In this paper, the dark or topological optical 1-soliton solution of the nonlinear Schrödinger’s equation is obtained. The time-dependent coefficients of the group velocity dispersion, Kerr nonlinearity and the attenuation terms are considered. This leads to the constraint relation between these coefficients for the topological solitons to exist. All what is necessary is that these time-dependent coefficients be simply Riemann integrable.

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