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Zapiski Nauchnykh Seminarov LOMI, 1984, Volume 140, Pages 36–40 (Mi znsl4069)  
This article is cited in 1 scientific paper (total in 1 paper)

Construction of asymptotic solutions for weakly nonlinear Hamiltonian systems

S. A. Vakulenko
Full-text PDF (249 kB) Citations (1)
Abstract: A change of variables is constructed for a class of weakly nonlinear Hamiltonian systems which makes it possible to reduce the order of the nonlinearity from $O(\varepsilon)$ to $O(\varepsilon^2)$ and to construct asymptotic solutions. The results can be applied to some nonlinear partial differential equations of interest in physics.
English version:
Journal of Soviet Mathematics, 1986, Volume 32, Issue 2, Pages 125–128
DOI: https://doi.org/10.1007/BF01084148
Bibliographic databases:
Document Type: Article
UDC: 534.222
Language: Russian
Citation: S. A. Vakulenko, “Construction of asymptotic solutions for weakly nonlinear Hamiltonian systems”, Mathematical problems in the theory of wave propagation. Part 14, Zap. Nauchn. Sem. LOMI, 140, "Nauka", Leningrad. Otdel., Leningrad, 1984, 36–40; J. Soviet Math., 32:2 (1986), 125–128
Citation in format AMSBIB
\Bibitem{Vak84}
\by S.~A.~Vakulenko
\paper Construction of asymptotic solutions for weakly nonlinear Hamiltonian systems
\inbook Mathematical problems in the theory of wave propagation. Part~14
\serial Zap. Nauchn. Sem. LOMI
\yr 1984
\vol 140
\pages 36--40
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4069}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=765715}
\zmath{https://zbmath.org/?q=an:0587.58017}
\transl
\jour J. Soviet Math.
\yr 1986
\vol 32
\issue 2
\pages 125--128
\crossref{https://doi.org/10.1007/BF01084148}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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