Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
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


TMF:
Year:
Volume:
Issue:
Page:
Find




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

Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 116, Number 3, Pages 336–348
DOI: https://doi.org/10.4213/tmf907 (Mi tmf907) 		 
This article is cited in 19 scientific papers (total in 19 papers)

Differential substitutions of the Miura transformation type

S. Ya. Startsev

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (242 kB) Citations (19)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf907
Abstract: The existence of a nontrivial integral and a sufficiently large set of symmetries with respect to one of the characteristics of a hyperbolic equation implies the existence of nontrivial integrals and symmetries with respect to the other characteristic. We classify differential substitutions of the form $w=P(x,u,u_{x})$ relating families of evolution equations that depend on an arbitrary function. Among such substitutions, there are infinitely many pairwise-nonequivalent ones.
Received: 16.04.1998
English version:
Theoretical and Mathematical Physics, 1998, Volume 116, Issue 3, Pages 1001–1010
DOI: https://doi.org/10.1007/BF02557141
Bibliographic databases:
Language: Russian
Citation: S. Ya. Startsev, “Differential substitutions of the Miura transformation type”, TMF, 116:3 (1998), 336–348; Theoret. and Math. Phys., 116:3 (1998), 1001–1010
Citation in format AMSBIB
\Bibitem{Sta98}
\by S.~Ya.~Startsev
\paper Differential substitutions of the Miura transformation type
\jour TMF
\yr 1998
\vol 116
\issue 3
\pages 336--348
\mathnet{http://mi.mathnet.ru/tmf907}
\crossref{https://doi.org/10.4213/tmf907}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1693881}
\zmath{https://zbmath.org/?q=an:0948.35012}
\elib{https://elibrary.ru/item.asp?id=13288194}
\transl
\jour Theoret. and Math. Phys.
\yr 1998
\vol 116
\issue 3
\pages 1001--1010
\crossref{https://doi.org/10.1007/BF02557141}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000078007000002}
Linking options:
  • https://www.mathnet.ru/eng/tmf907
  • https://doi.org/10.4213/tmf907
  • https://www.mathnet.ru/eng/tmf/v116/i3/p336
    • This publication is cited in the following 19 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
    Statistics & downloads:
    Abstract page:643
    Full-text PDF :257
    References:65
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025