Matematicheskie Zametki
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. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2011, Volume 89, Issue 2, Pages 178–189
DOI: https://doi.org/10.4213/mzm6644 (Mi mzm6644) 		 
This article is cited in 2 scientific papers (total in 2 papers)

First-Order Differential Substitutions for Equations Integrable on $\mathbb S^n$

M. Yu. Balakhnev

Orel State Technical University
Full-text PDF (525 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm6644
Abstract: We determine necessary conditions under which integrable vector evolution equations of third order admit Miura-type transformations. For equations integrable on the $n$-dimensional sphere, we obtain first-order differential substitutions.
Keywords: vector evolution equation, Miura-type transformation, differential substitution, Bäcklund transformation, pseudosymmetry, Schwartz–KdV equation.
Received: 13.01.2009
Revised: 22.06.2010
English version:
Mathematical Notes, 2011, Volume 89, Issue 2, Pages 184–193
DOI: https://doi.org/10.1134/S000143461101024X
Bibliographic databases:
Document Type: Article
UDC: 517.957
Language: Russian
Citation: M. Yu. Balakhnev, “First-Order Differential Substitutions for Equations Integrable on $\mathbb S^n$”, Mat. Zametki, 89:2 (2011), 178–189; Math. Notes, 89:2 (2011), 184–193
Citation in format AMSBIB
\Bibitem{Bal11}
\by M.~Yu.~Balakhnev
\paper First-Order Differential Substitutions for Equations Integrable on~$\mathbb S^n$
\jour Mat. Zametki
\yr 2011
\vol 89
\issue 2
\pages 178--189
\mathnet{http://mi.mathnet.ru/mzm6644}
\crossref{https://doi.org/10.4213/mzm6644}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2840417}
\transl
\jour Math. Notes
\yr 2011
\vol 89
\issue 2
\pages 184--193
\crossref{https://doi.org/10.1134/S000143461101024X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000288653100024}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79952413294}
Linking options:
  • https://www.mathnet.ru/eng/mzm6644
  • https://doi.org/10.4213/mzm6644
  • https://www.mathnet.ru/eng/mzm/v89/i2/p178
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024