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Light propagation in a Cole-Cole nonlinear medium via Burgers-Hopf equation

Boris Konopelchenko·Antonio Moro
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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.

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Boris Konopelchenko, Antonio Moro. 2004-09-30. Light propagation in a Cole-Cole nonlinear medium via Burgers-Hopf equation. https://doi.org/10.1088/1742-5468%2F2004%2F10%2Fp10004

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