Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 1997, Volume 245, Pages 149–165 (Mi znsl538)  
This article is cited in 1 scientific paper (total in 1 paper)

The transformation of Pohlmeyer and $(2+0)$ integrable equations of statistical physics

E. Sh. Gutshabash

Saint-Petersburg State University
Full-text PDF (236 kB) Citations (1)
Abstract: Using the transformation of Pohlmeyer in euclidean space it obtained the equation, which provide the possibility to construct the wide class of two-dimensional elliptical integrable systems. The question on a gauge equivalence of this systems with nonlinear sigma-model and Getmanov and Bitzadze models is investigated. The exact solution of some equations are constructed.
Received: 01.03.1996
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 100, Issue 2, Pages 2105–2115
DOI: https://doi.org/10.1007/BF02675731
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: E. Sh. Gutshabash, “The transformation of Pohlmeyer and $(2+0)$ integrable equations of statistical physics”, Questions of quantum field theory and statistical physics. Part 14, Zap. Nauchn. Sem. POMI, 245, POMI, St. Petersburg, 1997, 149–165; J. Math. Sci. (New York), 100:2 (2000), 2105–2115
Citation in format AMSBIB
\Bibitem{Gut97}
\by E.~Sh.~Gutshabash
\paper The transformation of Pohlmeyer and $(2+0)$ integrable equations of statistical physics
\inbook Questions of quantum field theory and statistical physics. Part~14
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 245
\pages 149--165
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl538}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1627776}
\zmath{https://zbmath.org/?q=an:0970.37055}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 100
\issue 2
\pages 2105--2115
\crossref{https://doi.org/10.1007/BF02675731}
Linking options:
  • https://www.mathnet.ru/eng/znsl538
  • https://www.mathnet.ru/eng/znsl/v245/p149
    • 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
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:143
    Full-text PDF :46
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024