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Mathematics of the USSR-Izvestiya, 1989, Volume 33, Issue 1, Pages 39–65
DOI: https://doi.org/10.1070/IM1989v033n01ABEH000812 (Mi im1201) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Algebraic constructions of certain integrable equations

O. I. Bogoyavlenskii
English version PDF (1283 kB) Citations (9)
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DOI: https://doi.org/10.1070/IM1989v033n01ABEH000812
Abstract: For differential equations in an arbitrary associative algebra, invariant constructions are presented that are connected with automorphisms of the algebra and admit a Lax representation. A Lax representation is found for a certain Hamiltonian integrodifferential equation, along with explicit formulas for a countable set of first integrals of it.
Bibliography: 13 titles
Received: 09.03.1988
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1988, Volume 52, Issue 4, Pages 712–739
Bibliographic databases:
Document Type: Article
UDC: 517.91
MSC: Primary 45K05, 35Q20; Secondary 34C35, 35J10, 58F05
Language: English
Original paper language: Russian
Citation: O. I. Bogoyavlenskii, “Algebraic constructions of certain integrable equations”, Izv. Akad. Nauk SSSR Ser. Mat., 52:4 (1988), 712–739; Math. USSR-Izv., 33:1 (1989), 39–65
Citation in format AMSBIB
\Bibitem{Bog88}
\by O.~I.~Bogoyavlenskii
\paper Algebraic constructions of certain integrable equations
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1988
\vol 52
\issue 4
\pages 712--739
\mathnet{http://mi.mathnet.ru/im1201}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=966981}
\zmath{https://zbmath.org/?q=an:0816.58019|0682.58024}
\transl
\jour Math. USSR-Izv.
\yr 1989
\vol 33
\issue 1
\pages 39--65
\crossref{https://doi.org/10.1070/IM1989v033n01ABEH000812}
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  • https://www.mathnet.ru/eng/im/v52/i4/p712
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:487
    Russian version PDF:145
    English version PDF:11
    References:59
    First page:1
     
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