Light Propagation in a Cole-Cole Nonlinear Medium via the Burgers-Hopf Equation

Konopelchenko, Boris and Moro, Antonio (2005) Light Propagation in a Cole-Cole Nonlinear Medium via the Burgers-Hopf Equation. Theoretical and Mathematical Physics, 144 (1). pp. 968-974. ISSN 0040-5779

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Abstract

A new model of light propagation through a so-called weakly three-dimensional Cole-Cole nonlinear medium with short-range nonlocality was recently proposed. In particular, it was shown that in the geometric optics limit, the model is integrable and is governed by the dispersionless Veselov-Novikov (dVN) equation. The Burgers-Hopf equation can be obtained as a (1+1)-dimensional reduction of the dVN equation. We discuss its properties in the specific context of nonlinear geometric optics and consider an illustrative explicit example.

Item Type:	Article
Uncontrolled Keywords:	nonlinear optics, integrable systems
Subjects:	F300 Physics G100 Mathematics
Department:	Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User:	Becky Skoyles
Date Deposited:	21 Feb 2019 13:13
Last Modified:	10 Oct 2019 23:18
URI:	http://nrl.northumbria.ac.uk/id/eprint/38178

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