Light propagation in a cole-cole nonlinear medium via the burgers-hopf equation

B. G. Konopelchenko; A. Moro

doi:10.1007/s11232-005-0124-8

Light propagation in a cole-cole nonlinear medium via the burgers-hopf equation

B. G. Konopelchenko^*, A. Moro

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	968-974
Number of pages	7
Journal	Theoretical and Mathematical Physics
Volume	144
Issue number	1
DOIs	https://doi.org/10.1007/s11232-005-0124-8
Publication status	Published - Jul 2005
Externally published	Yes

Keywords

Integrable systems
Nonlinear optics

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10.1007/s11232-005-0124-8

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title = "Light propagation in a cole-cole nonlinear medium via the burgers-hopf equation",

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.",

keywords = "Integrable systems, Nonlinear optics",

author = "Konopelchenko, {B. G.} and A. Moro",

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AU - Konopelchenko, B. G.

AU - Moro, A.

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N2 - 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.

AB - 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.

KW - Integrable systems

KW - Nonlinear optics

U2 - 10.1007/s11232-005-0124-8

DO - 10.1007/s11232-005-0124-8

M3 - Article

AN - SCOPUS:23044495567

SN - 0040-5779

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EP - 974

JO - Theoretical and Mathematical Physics

JF - Theoretical and Mathematical Physics

IS - 1

ER -

Light propagation in a cole-cole nonlinear medium via the burgers-hopf equation

Abstract

Keywords

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