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Teoreticheskaya i Matematicheskaya Fizika, 1984, Volume 60, Number 3, Pages 395–403 (Mi tmf5353)  
This article is cited in 22 scientific papers (total in 22 papers)

Asymptotic expansions and qualitative analysis of finite-dimensional models in nonlinear field theory

V. M. Eleonskii, N. E. Kulagin, N. S. Novozhilova, V. P. Silin
Full-text PDF (1090 kB) Citations (22)
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Abstract: The methods of the qualitative theory of dynamical systems are used to establish the reasons that prevent the nonlinear wave equation $\square u =F(u)$ from having solutions that are periodic in time and self-localized in space. The correspondence between the qualitative behavior of the singular (separatrix) trajectories in the phase space and the asymptotic solutions of the nonlinear wave equation is considered.
Received: 05.10.1983
English version:
Theoretical and Mathematical Physics, 1984, Volume 60, Issue 3, Pages 896–902
DOI: https://doi.org/10.1007/BF01017891
Bibliographic databases:
Language: Russian
Citation: V. M. Eleonskii, N. E. Kulagin, N. S. Novozhilova, V. P. Silin, “Asymptotic expansions and qualitative analysis of finite-dimensional models in nonlinear field theory”, TMF, 60:3 (1984), 395–403; Theoret. and Math. Phys., 60:3 (1984), 896–902
Citation in format AMSBIB
\Bibitem{EleKulNov84}
\by V.~M.~Eleonskii, N.~E.~Kulagin, N.~S.~Novozhilova, V.~P.~Silin
\paper Asymptotic expansions and qualitative analysis of finite-dimensional models in nonlinear field theory
\jour TMF
\yr 1984
\vol 60
\issue 3
\pages 395--403
\mathnet{http://mi.mathnet.ru/tmf5353}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=768167}
\transl
\jour Theoret. and Math. Phys.
\yr 1984
\vol 60
\issue 3
\pages 896--902
\crossref{https://doi.org/10.1007/BF01017891}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1984AEF5000006}
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  • https://www.mathnet.ru/eng/tmf/v60/i3/p395
    • This publication is cited in the following 22 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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    References:60
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