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, 2005, Volume 144, Number 1, Pages 35–43
DOI: https://doi.org/10.4213/tmf1829 (Mi tmf1829) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Classification of Integrable $(2+1)$-Dimensional Quasilinear Hierarchies

E. V. Ferapontovab, K. R. Khusnutdinovabc, M. V. Pavlovb

a L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
b Loughborough University
c Institute of Mechanics, Ufa Centre of the Russian Academy of Sciences
Full-text PDF (216 kB) Citations (18)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf1829
Abstract: We investigate the $(2+1)$-dimensional hierarchies associated with the integrable PDEs of the form $\Omega_{tt}=F(\Omega_{xx},\Omega_{xt},\Omega_{xy})$, which generalize the dispersionless KP hierarchy. Integrability is understood as the existence of infinitely many hydrodynamic reductions.
Keywords: integrable hierachies of dKP type, hydrodynamic reductions, pseudopotentials.
English version:
Theoretical and Mathematical Physics, 2005, Volume 144, Issue 1, Pages 907–915
DOI: https://doi.org/10.1007/s11232-005-0117-7
Bibliographic databases:
Language: Russian
Citation: E. V. Ferapontov, K. R. Khusnutdinova, M. V. Pavlov, “Classification of Integrable $(2+1)$-Dimensional Quasilinear Hierarchies”, TMF, 144:1 (2005), 35–43; Theoret. and Math. Phys., 144:1 (2005), 907–915
Citation in format AMSBIB
\Bibitem{FerKhuPav05}
\by E.~V.~Ferapontov, K.~R.~Khusnutdinova, M.~V.~Pavlov
\paper Classification of Integrable $(2+1)$-Dimensional Quasilinear Hierarchies
\jour TMF
\yr 2005
\vol 144
\issue 1
\pages 35--43
\mathnet{http://mi.mathnet.ru/tmf1829}
\crossref{https://doi.org/10.4213/tmf1829}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2194257}
\zmath{https://zbmath.org/?q=an:1178.37072}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2005TMP...144..907F}
\elib{https://elibrary.ru/item.asp?id=17702854}
\transl
\jour Theoret. and Math. Phys.
\yr 2005
\vol 144
\issue 1
\pages 907--915
\crossref{https://doi.org/10.1007/s11232-005-0117-7}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000231408800005}
\elib{https://elibrary.ru/item.asp?id=13496490}
Linking options:
  • https://www.mathnet.ru/eng/tmf1829
  • https://doi.org/10.4213/tmf1829
  • https://www.mathnet.ru/eng/tmf/v144/i1/p35
    • This publication is cited in the following 18 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:667
    Full-text PDF :367
    References:98
    First page:1
     
      Contact us:
    math-net2025_05@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025