Light propagation in a Cole-Cole nonlinear medium via Burgers-Hopf equation
Exactly Solvable and Integrable Systems
2009-11-10 v1 Optics
Abstract
Recently, a new model of propagation of the light through the so-called weakly three-dimensional Cole-Cole nonlinear medium with short-range nonlocality has been proposed. In particular, it has been shown that in the geometrical optics limit, the model is integrable and it is governed by the dispersionless Veselov-Novikov (dVN) equation. Burgers-Hopf equation can be obtained as 1+1-dimensional reduction of dVN equation. We discuss its properties in the specific context of nonlinear geometrical optics. An illustrative explicit example is considered.
Keywords
Cite
@article{arxiv.nlin/0409062,
title = {Light propagation in a Cole-Cole nonlinear medium via Burgers-Hopf equation},
author = {Boris Konopelchenko and Antonio Moro},
journal= {arXiv preprint arXiv:nlin/0409062},
year = {2009}
}
Comments
10 pages, 4 figures, Proceedings Wokshop-Nonlinear Physics: Theory and Experiment, Gallipoli 2004