Mathematics of the USSR-Izvestiya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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) Russian version article
References:
PDF
HTML
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
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”, 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 Math. USSR-Izv.
\yr 1989
\vol 33
\issue 1
\pages 39--65
\mathnet{http://mi.mathnet.ru//eng/im1201}
\crossref{https://doi.org/10.1070/IM1989v033n01ABEH000812}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=966981}
\zmath{https://zbmath.org/?q=an:0816.58019|0682.58024}
Linking options:
  • https://www.mathnet.ru/eng/im1201
  • https://doi.org/10.1070/IM1989v033n01ABEH000812
  • 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
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:512
    Russian version PDF:152
    English version PDF:14
    References:66
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024