Symmetry, Integrability and Geometry: Methods and Applications
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


SIGMA:
Year:
Volume:
Issue:
Page:
Find




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

Symmetry, Integrability and Geometry: Methods and Applications, 2014, Volume 10, 048, 11 pp.
DOI: https://doi.org/10.3842/SIGMA.2014.048 (Mi sigma913) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows

Atsushi Fujiokaa, Takashi Kuroseb

a Department of Mathematics, Kansai University, Suita, 564-8680, Japan
b Department of Mathematical Sciences, Kwansei Gakuin University, Sanda, 669-1337, Japan
Full-text PDF (327 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2014.048
Abstract: Higher KdV flows on spaces of closed equicentroaffine plane curves are studied and it is shown that the flows are described as certain multi-Hamiltonian systems on the spaces. Multi-Hamiltonian systems describing higher mKdV flows are also given on spaces of closed Euclidean plane curves via the geometric Miura transformation.
Keywords: motions of curves; equicentroaffine curves; KdV hierarchy; multi-Hamiltonian systems.
Received: October 11, 2013; in final form April 16, 2014; Published online April 22, 2014
Bibliographic databases:
Document Type: Article
MSC: 37K25; 35Q53
Language: English
Citation: Atsushi Fujioka, Takashi Kurose, “Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows”, SIGMA, 10 (2014), 048, 11 pp.
Citation in format AMSBIB
\Bibitem{FujKur14}
\by Atsushi~Fujioka, Takashi~Kurose
\paper Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows
\jour SIGMA
\yr 2014
\vol 10
\papernumber 048
\totalpages 11
\mathnet{http://mi.mathnet.ru/sigma913}
\crossref{https://doi.org/10.3842/SIGMA.2014.048}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3210587}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000334735800001}
Linking options:
  • https://www.mathnet.ru/eng/sigma913
  • https://www.mathnet.ru/eng/sigma/v10/p48
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:281
    Full-text PDF :43
    References:42
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024