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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 114, Number 1, Pages 104–114
DOI: https://doi.org/10.4213/tmf831 (Mi tmf831) 		 
This article is cited in 7 scientific papers (total in 7 papers)

An asymptotic solution of the Cauchy problem for the Davey–Stewartson-I equation

O. M. Kiselev

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (223 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf831
Abstract: We construct an asymptotic solution of the Cauchy problem for the Davey–Stewartson-I equation as $t\to\infty$. The solution, which is of order $t^{-1}$, is rapidly oscillating. The envelope of the oscillations can be defined by an integral equation.
Received: 18.07.1997
English version:
Theoretical and Mathematical Physics, 1998, Volume 114, Issue 1, Pages 81–89
DOI: https://doi.org/10.1007/BF02557110
Bibliographic databases:
Language: Russian
Citation: O. M. Kiselev, “An asymptotic solution of the Cauchy problem for the Davey–Stewartson-I equation”, TMF, 114:1 (1998), 104–114; Theoret. and Math. Phys., 114:1 (1998), 81–89
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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