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Teoreticheskaya i Matematicheskaya Fizika, 1986, Volume 66, Number 1, Pages 47–65 (Mi tmf4593)  
This article is cited in 15 scientific papers (total in 15 papers)

Integrability conditions for systems of two equations of the form $u_t=A(u)u_{xx}+F(u,u_x)$. II

A. V. Mikhailov, A. B. Shabat
Full-text PDF (1825 kB) Citations (15)
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Abstract: The conditions (integrability conditions) that the right-hand side of any system of equations of the form indicated in the title must satisfy if the system is to have a rich set of conservation laws are found. The iutegrability conditions form an overdetermined system of nonlinear partial differential equations. This overdetermined system of equations can be integrated by quadrature and the form of the right-hand side completely determined.
Received: 16.01.1985
English version:
Theoretical and Mathematical Physics, 1986, Volume 66, Issue 1, Pages 31–44
DOI: https://doi.org/10.1007/BF01028936
Bibliographic databases:
Language: Russian
Citation: A. V. Mikhailov, A. B. Shabat, “Integrability conditions for systems of two equations of the form $u_t=A(u)u_{xx}+F(u,u_x)$. II”, TMF, 66:1 (1986), 47–65; Theoret. and Math. Phys., 66:1 (1986), 31–44
Citation in format AMSBIB
\Bibitem{MikSha86}
\by A.~V.~Mikhailov, A.~B.~Shabat
\paper Integrability conditions for systems of two equations of the form
$u_t=A(u)u_{xx}+F(u,u_x)$.~II
\jour TMF
\yr 1986
\vol 66
\issue 1
\pages 47--65
\mathnet{http://mi.mathnet.ru/tmf4593}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=831417}
\zmath{https://zbmath.org/?q=an:0606.35042}
\transl
\jour Theoret. and Math. Phys.
\yr 1986
\vol 66
\issue 1
\pages 31--44
\crossref{https://doi.org/10.1007/BF01028936}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1986D593000004}
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  • https://www.mathnet.ru/eng/tmf4593
  • https://www.mathnet.ru/eng/tmf/v66/i1/p47
    Cycle of papers
    This publication is cited in the following 15 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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    Full-text PDF :202
    References:68
    First page:3
     
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