Loading [MathJax]/jax/output/SVG/config.js
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 2, Pages 193–200
DOI: https://doi.org/10.4213/tmf897 (Mi tmf897) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Equations invariant under differential substitutions

V. S. Novikov

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
Full-text PDF (179 kB) Citations (3)
DOI: https://doi.org/10.4213/tmf897
Abstract: The classification of differential autosubstitutions of the form $\hat u=G(u_x,u)$ that are allowed by general evolution equations with one spatial variable is considered. In the one-field case, every such substitution can be reduced to the autosubstitution $\hat u=u+u_x/u$ for the Burgers equation by a point transformation. This substitution is generalized to the two-field case.
Received: 05.03.1998
English version:
Theoretical and Mathematical Physics, 1998, Volume 116, Issue 2, Pages 890–895
DOI: https://doi.org/10.1007/BF02557131
Bibliographic databases:
Language: Russian
Citation: V. S. Novikov, “Equations invariant under differential substitutions”, TMF, 116:2 (1998), 193–200; Theoret. and Math. Phys., 116:2 (1998), 890–895
Citation in format AMSBIB
\Bibitem{Nov98}
\by V.~S.~Novikov
\paper Equations invariant under differential substitutions
\jour TMF
\yr 1998
\vol 116
\issue 2
\pages 193--200
\mathnet{http://mi.mathnet.ru/tmf897}
\crossref{https://doi.org/10.4213/tmf897}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1693737}
\zmath{https://zbmath.org/?q=an:0916.35105}
\elib{https://elibrary.ru/item.asp?id=13288457}
\transl
\jour Theoret. and Math. Phys.
\yr 1998
\vol 116
\issue 2
\pages 890--895
\crossref{https://doi.org/10.1007/BF02557131}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000077128700003}
Linking options:
  • https://www.mathnet.ru/eng/tmf897
  • https://doi.org/10.4213/tmf897
  • https://www.mathnet.ru/eng/tmf/v116/i2/p193
    • This publication is cited in the following 3 articles:
    1. Uenal G., Turkeri H., Khalique Ch.M., “Explicit Solution Processes for Nonlinear Jump-Diffusion Equations”, J Nonlinear Math Phys, 17:3 (2010), 281–310  crossref  mathscinet  adsnasa  isi  scopus  scopus  scopus
    2. Tryhuk, V, “AUTOMORPHISMS OF CURVES”, Journal of Nonlinear Mathematical Physics, 16:3 (2009), 259  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    3. S. Ya. Startsev, “Hyperbolic Equations Admitting Differential Substitutions”, Theoret. and Math. Phys., 127:1 (2001), 460–470  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    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:362
    Full-text PDF :206
    References:1
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025