Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find




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

Funktsional'nyi Analiz i ego Prilozheniya, 2002, Volume 36, Issue 4, Pages 1–17
DOI: https://doi.org/10.4213/faa215 (Mi faa215) 		 
This article is cited in 20 scientific papers (total in 20 papers)

Elliptic Families of Solutions of the Kadomtsev–Petviashvili Equation and the Field Elliptic Calogero–Moser System

A. A. Akhmetshina, Yu. S. Vol'vovskiia, I. M. Kricheverbc

a Columbia University
b Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
c L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
Full-text PDF (216 kB) Citations (20)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa215
Abstract: We present a Lax pair for the field elliptic Calogero–Moser system and establish a connection between this system and the Kadomtsev–Petviashvili equation. Namely, we consider elliptic families of solutions of the KP equation such that their poles satisfy a constraint of being balanced. We show that the dynamics of these poles is described by a reduction of the field elliptic CM system.
We construct a wide class of solutions to the field elliptic CM system by showing that any $N$-fold branched cover of an elliptic curve gives rise to an elliptic family of solutions of the KP equation with balanced poles.
Keywords: KP equation, Calogero–Moser system, Lax pair.
Received: 13.05.2002
English version:
Functional Analysis and Its Applications, 2002, Volume 36, Issue 4, Pages 253–266
DOI: https://doi.org/10.1023/A:1021706525301
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. A. Akhmetshin, Yu. S. Vol'vovskii, I. M. Krichever, “Elliptic Families of Solutions of the Kadomtsev–Petviashvili Equation and the Field Elliptic Calogero–Moser System”, Funktsional. Anal. i Prilozhen., 36:4 (2002), 1–17; Funct. Anal. Appl., 36:4 (2002), 253–266
Citation in format AMSBIB
\Bibitem{AkhVolKri02}
\by A.~A.~Akhmetshin, Yu.~S.~Vol'vovskii, I.~M.~Krichever
\paper Elliptic Families of Solutions of the Kadomtsev--Petviashvili Equation and the Field Elliptic Calogero--Moser System
\jour Funktsional. Anal. i Prilozhen.
\yr 2002
\vol 36
\issue 4
\pages 1--17
\mathnet{http://mi.mathnet.ru/faa215}
\crossref{https://doi.org/10.4213/faa215}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1958991}
\zmath{https://zbmath.org/?q=an:1033.37032}
\elib{https://elibrary.ru/item.asp?id=13394376}
\transl
\jour Funct. Anal. Appl.
\yr 2002
\vol 36
\issue 4
\pages 253--266
\crossref{https://doi.org/10.1023/A:1021706525301}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000180858500001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0036933414}
Linking options:
  • https://www.mathnet.ru/eng/faa215
  • https://doi.org/10.4213/faa215
  • https://www.mathnet.ru/eng/faa/v36/i4/p1
    • 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
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024