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

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Mathematics of the USSR-Sbornik, 1980, Volume 36, Issue 3, Pages 351–363
DOI: https://doi.org/10.1070/SM1980v036n03ABEH001821 (Mi sm2313) 		 
This article is cited in 9 scientific papers (total in 9 papers)

On equations generated by an operator relation

V. K. Mel'nikov
English version PDF (675 kB) Citations (9)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM1980v036n03ABEH001821
Abstract: A system of equations generated by an operator relation analogous to the Lax operator representation of the Korteweg–de Vries equation is considered. It is shown that the system of equations obtained in this way possesses several infinite series of conservation laws. Conditions for the existence and uniqueness of an analytic solution of the system are found. Consideration is given to the case of an arbitrary number of space variables.
Bibliography: 4 titles.
Received: 06.04.1978
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1979, Volume 108(150), Number 3, Pages 378–392
Bibliographic databases:
UDC: 517.9
MSC: Primary 35K22; Secondary 35Q20
Language: English
Original paper language: Russian
Citation: V. K. Mel'nikov, “On equations generated by an operator relation”, Mat. Sb. (N.S.), 108(150):3 (1979), 378–392; Math. USSR-Sb., 36:3 (1980), 351–363
Citation in format AMSBIB
\Bibitem{Mel79}
\by V.~K.~Mel'nikov
\paper On equations generated by an operator relation
\jour Mat. Sb. (N.S.)
\yr 1979
\vol 108(150)
\issue 3
\pages 378--392
\mathnet{http://mi.mathnet.ru/sm2313}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=530317}
\zmath{https://zbmath.org/?q=an:0431.35050|0408.35081}
\transl
\jour Math. USSR-Sb.
\yr 1980
\vol 36
\issue 3
\pages 351--363
\crossref{https://doi.org/10.1070/SM1980v036n03ABEH001821}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980KM96900005}
Linking options:
  • https://www.mathnet.ru/eng/sm2313
  • https://doi.org/10.1070/SM1980v036n03ABEH001821
  • https://www.mathnet.ru/eng/sm/v150/i3/p378
    • 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
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:303
    Russian version PDF:94
    English version PDF:10
    References:47
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024