Contemporary Mathematics. Fundamental Directions
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Publishing Ethics

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


CMFD:
Year:
Volume:
Issue:
Page:
Find




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

Contemporary Mathematics. Fundamental Directions, 2010, Volume 37, Pages 5–15 (Mi cmfd161)  
This article is cited in 1 scientific paper (total in 1 paper)

Necessary and sufficient conditions for the existence of symmetry groups for systems of differential-difference equations with partial derivatives

I. A. Kolesnikova

Peoples Friendship University of Russia, Moscow
Full-text PDF (148 kB) Citations (1)
References:
PDF
HTML
Abstract: In the present paper, we obtain necessary and sufficient conditions for the existence of symmetry groups for systems of differential-difference equations with partial derivatives. Constructions of symmetry groups and recursion operators for various differential-difference equations are described. The corresponding symmetry generators that transform solutions of given equations into other solutions are obtained.
English version:
Journal of Mathematical Sciences, 2012, Volume 180, Issue 6, Pages 673–684
DOI: https://doi.org/10.1007/s10958-012-0664-z
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: I. A. Kolesnikova, “Necessary and sufficient conditions for the existence of symmetry groups for systems of differential-difference equations with partial derivatives”, Proceedings of the Crimean autumn mathematical school-symposium, CMFD, 37, PFUR, M., 2010, 5–15; Journal of Mathematical Sciences, 180:6 (2012), 673–684
Citation in format AMSBIB
\Bibitem{Kol10}
\by I.~A.~Kolesnikova
\paper Necessary and sufficient conditions for the existence of symmetry groups for systems of differential-difference equations with partial derivatives
\inbook Proceedings of the Crimean autumn mathematical school-symposium
\serial CMFD
\yr 2010
\vol 37
\pages 5--15
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd161}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2789322}
\transl
\jour Journal of Mathematical Sciences
\yr 2012
\vol 180
\issue 6
\pages 673--684
\crossref{https://doi.org/10.1007/s10958-012-0664-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84856547972}
Linking options:
  • https://www.mathnet.ru/eng/cmfd161
  • https://www.mathnet.ru/eng/cmfd/v37/p5
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Современная математика. Фундаментальные направления
    Statistics & downloads:
    Abstract page:904
    Full-text PDF :162
    References:38
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024