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Teoreticheskaya i Matematicheskaya Fizika, 1997, Volume 111, Number 3, Pages 369–388
DOI: https://doi.org/10.4213/tmf1015 (Mi tmf1015) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Renormgroup symmetries in problems of nonlinear geometrical optics

V. F. Kovalev

Institute for Mathematical Modelling, Russian Academy of Sciences
Full-text PDF (311 kB) Citations (10)
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DOI: https://doi.org/10.4213/tmf1015
Abstract: Renormgroup symmetries for a boundary value problem for the system of equations which describes propagation of a powerful radiation in a nonlinear medium in geometrical optics approximation are constructed. With the help of renormgroup symmetries new exact and approximate analytical solutions of nonlinear geometrical optics equations are obtained. Explicit analytical expressions are presented that characterize spatial evolution of a laser beam which has an arbitrary intensity dependence at the boundary of the nonlinear medium.
Received: 06.02.1997
English version:
Theoretical and Mathematical Physics, 1997, Volume 111, Issue 3, Pages 686–702
DOI: https://doi.org/10.1007/BF02634057
Bibliographic databases:
Language: Russian
Citation: V. F. Kovalev, “Renormgroup symmetries in problems of nonlinear geometrical optics”, TMF, 111:3 (1997), 369–388; Theoret. and Math. Phys., 111:3 (1997), 686–702
Citation in format AMSBIB
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\paper Renormgroup symmetries in problems of nonlinear geometrical optics
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\jour Theoret. and Math. Phys.
\yr 1997
\vol 111
\issue 3
\pages 686--702
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    • This publication is cited in the following 10 articles:
    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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