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Journal of Siberian Federal University. Mathematics & Physics, 2018, Volume 11, Issue 5, Pages 550–560
DOI: https://doi.org/10.17516/1997-1397-2018-11-5-550-560 (Mi jsfu701) 		 
Intermediate systems and higher-order differential constraints

Oleg V. Kaptsov

Institute of Computational Modelling SD RAS, Academgorodok, 50/44, Krasnoyarsk, 660036, Russia
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DOI: https://doi.org/10.17516/1997-1397-2018-11-5-550-560
Abstract: A method for constructing solutions of nonlinear partial differential equations with two independent variables is proposed. The method is based on the search for so-called intermediate systems, each solution of which satisfies the initial equation. The main attention is paid to a second order nonlinear wave equation. We give examples of intermediate systems and corresponding solutions.
Keywords: differential constraints, defining equations, invariant manifolds.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00332_a
The work was supported by the Russian Foundation for Basic Research (grant 17-01-00332-a).
Received: 10.03.2018
Received in revised form: 20.04.2018
Accepted: 06.06.2018
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: English
Citation: Oleg V. Kaptsov, “Intermediate systems and higher-order differential constraints”, J. Sib. Fed. Univ. Math. Phys., 11:5 (2018), 550–560
Citation in format AMSBIB
\Bibitem{Kap18}
\by Oleg~V.~Kaptsov
\paper Intermediate systems and higher-order differential constraints
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2018
\vol 11
\issue 5
\pages 550--560
\mathnet{http://mi.mathnet.ru/jsfu701}
\crossref{https://doi.org/10.17516/1997-1397-2018-11-5-550-560}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000447374900002}
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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