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, 2005, Volume 142, Number 2, Pages 293–309
DOI: https://doi.org/10.4213/tmf1783 (Mi tmf1783) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The description of pairs of compatible first-order differential geometric poisson brackets

M. V. Pavlov

Loughborough University
Full-text PDF (252 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf1783
Abstract: We show that bi-Hamiltonian structures of systems of hydrodynamic type can be described in terms of solutions of nonlinear equations. These equations can be integrated by the inverse scattering transform for arbitrary metrics as well as for flat ones. In particular, if one metric is flat and the other has a constant curvature, then the corresponding integrable system is a reduction of the Cherednik chiral-field model.
Keywords: Hamiltonian structure, Riemann invariant, system of hydrodynamic type.
English version:
Theoretical and Mathematical Physics, 2005, Volume 142, Issue 2, Pages 244–258
DOI: https://doi.org/10.1007/s11232-005-0008-y
Bibliographic databases:
Language: Russian
Citation: M. V. Pavlov, “The description of pairs of compatible first-order differential geometric poisson brackets”, TMF, 142:2 (2005), 293–309; Theoret. and Math. Phys., 142:2 (2005), 244–258
Citation in format AMSBIB
\Bibitem{Pav05}
\by M.~V.~Pavlov
\paper The description of pairs of compatible first-order differential geometric poisson brackets
\jour TMF
\yr 2005
\vol 142
\issue 2
\pages 293--309
\mathnet{http://mi.mathnet.ru/tmf1783}
\crossref{https://doi.org/10.4213/tmf1783}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2141779}
\zmath{https://zbmath.org/?q=an:1178.37066}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2005TMP...142..244P}
\elib{https://elibrary.ru/item.asp?id=9135949}
\transl
\jour Theoret. and Math. Phys.
\yr 2005
\vol 142
\issue 2
\pages 244--258
\crossref{https://doi.org/10.1007/s11232-005-0008-y}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000227756500008}
Linking options:
  • https://www.mathnet.ru/eng/tmf1783
  • https://doi.org/10.4213/tmf1783
  • https://www.mathnet.ru/eng/tmf/v142/i2/p293
    • 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
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:425
    Full-text PDF :243
    References:62
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024