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Zapiski Nauchnykh Seminarov LOMI, 1991, Volume 187, Pages 110–128 (Mi znsl4865)  
This article is cited in 8 scientific papers (total in 8 papers)

The second Painlevé equation at a problem about nonlinear effects near caustics

B. I. Suleimanov
Full-text PDF (686 kB) Citations (8)
Abstract: An asymptotics at large time for nonlinear Schrödinger equation is studied in a critical case produced by some problems concerning nonlinear effects near caustics. The asymptotics is described in terms of the second Painlevé transcendent.
English version:
Journal of Mathematical Sciences, 1995, Volume 73, Issue 4, Pages 482–493
DOI: https://doi.org/10.1007/BF02364570
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: B. I. Suleimanov, “The second Painlevé equation at a problem about nonlinear effects near caustics”, Differential geometry, Lie groups and mechanics. Part 12, Zap. Nauchn. Sem. LOMI, 187, Nauka, St. Petersburg, 1991, 110–128; J. Math. Sci., 73:4 (1995), 482–493
Citation in format AMSBIB
\Bibitem{Sul91}
\by B.~I.~Suleimanov
\paper The second Painlev\'e equation at a problem about nonlinear effects near caustics
\inbook Differential geometry, Lie groups and mechanics. Part~12
\serial Zap. Nauchn. Sem. LOMI
\yr 1991
\vol 187
\pages 110--128
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4865}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1111907}
\zmath{https://zbmath.org/?q=an:0834.34008|0746.34013}
\transl
\jour J. Math. Sci.
\yr 1995
\vol 73
\issue 4
\pages 482--493
\crossref{https://doi.org/10.1007/BF02364570}
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  • https://www.mathnet.ru/eng/znsl/v187/p110
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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