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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 144, Number 1, Pages 102–109
DOI: https://doi.org/10.4213/tmf1836 (Mi tmf1836) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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

B. G. Konopelchenko, A. Moro

Lecce University
Full-text PDF (345 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf1836
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: nonlinear optics, integrable systems.
English version:
Theoretical and Mathematical Physics, 2005, Volume 144, Issue 1, Pages 968–974
DOI: https://doi.org/10.1007/s11232-005-0124-8
Bibliographic databases:
Language: Russian
Citation: B. G. Konopelchenko, A. Moro, “Light Propagation in a Cole-Cole Nonlinear Medium via the Burgers–Hopf Equation”, TMF, 144:1 (2005), 102–109; Theoret. and Math. Phys., 144:1 (2005), 968–974
Citation in format AMSBIB
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\paper Light Propagation in a Cole-Cole Nonlinear Medium via the Burgers--Hopf Equation
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\transl
\jour Theoret. and Math. Phys.
\yr 2005
\vol 144
\issue 1
\pages 968--974
\crossref{https://doi.org/10.1007/s11232-005-0124-8}
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Linking options:
  • https://www.mathnet.ru/eng/tmf1836
  • https://doi.org/10.4213/tmf1836
  • https://www.mathnet.ru/eng/tmf/v144/i1/p102
    • This publication is cited in the following 2 articles:
    1. Sergey G. Chefranov, Artem S. Chefranov, Nonlinear Optics - Novel Results in Theory and Applications, 2019  crossref
    2. J.-H. Chang, Yu.-T. Chen, “Solutions of the real dispersionless Veselov–Novikov hierarchy”, Theoret. and Math. Phys., 159:3 (2009), 741–751  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :210
    References:57
    First page:1
     
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