Izvestiya: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find






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


Izvestiya: Mathematics, 1996, Volume 60, Issue 2, Pages 425–451
DOI: https://doi.org/10.1070/IM1996v060n02ABEH000076
(Mi im76)
 

This article is cited in 20 scientific papers (total in 20 papers)

On the contact linearization of Monge–Ampere equations

D. V. Tunitsky

International Center "Sophus Lie"
References:
Abstract: This paper is devoted to the solution of a number of problems related to the contact classification of Monge–Ampere equations with two independent variables. In the 1870s Sophus Lie formulated the problem of finding whether a local reduction of a given Monge–Ampere equation to some simpler second-order equation (to a semilinear, linear with respect to the derivatives, equation with constant coefficients) is possible. In this paper conditions are studied that yield a realization of such a reduction. As objects that occur in the formulation of these conditions, we use the characteristic bundles of the given Monge–Ampere equation and their derivatives.
Received: 24.05.1995
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1996, Volume 60, Issue 2, Pages 195–220
DOI: https://doi.org/10.4213/im76
Bibliographic databases:
UDC: 517.95
MSC: Primary 58G37, 58A30; Secondary 35G20
Language: English
Original paper language: Russian
Citation: D. V. Tunitsky, “On the contact linearization of Monge–Ampere equations”, Izv. RAN. Ser. Mat., 60:2 (1996), 195–220; Izv. Math., 60:2 (1996), 425–451
Citation in format AMSBIB
\Bibitem{Tun96}
\by D.~V.~Tunitsky
\paper On the contact linearization of Monge--Ampere equations
\jour Izv. RAN. Ser. Mat.
\yr 1996
\vol 60
\issue 2
\pages 195--220
\mathnet{http://mi.mathnet.ru/im76}
\crossref{https://doi.org/10.4213/im76}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1399423}
\zmath{https://zbmath.org/?q=an:0881.35024}
\transl
\jour Izv. Math.
\yr 1996
\vol 60
\issue 2
\pages 425--451
\crossref{https://doi.org/10.1070/IM1996v060n02ABEH000076}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996VL85500008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0042650109}
Linking options:
  • https://www.mathnet.ru/eng/im76
  • https://doi.org/10.1070/IM1996v060n02ABEH000076
  • https://www.mathnet.ru/eng/im/v60/i2/p195
  • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:441
    Russian version PDF:219
    English version PDF:29
    References:49
    First page:2
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024