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, 2005, Volume 1, 026, 6 pp.
DOI: https://doi.org/10.3842/SIGMA.2005.026 (Mi sigma26) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Conservation Laws of Discrete Korteweg–de Vries Equation

Olexandr G. Rasin, Peter E. Hydon

Department of Mathematics and Statistics, University of Surrey, Guildford, Surrey GU2 7XH, UK
Full-text PDF (201 kB) Citations (14)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2005.026
Abstract: All three-point and five-point conservation laws for the discrete Korteweg–de Vries equations are found. These conservation laws satisfy a functional equation, which we solve by reducing it to a system of partial differential equations. Our method uses computer algebra intensively, because the determining functional equation is quite complicated.
Keywords: conservation laws; discrete equations; quad-graph.
Received: October 21, 2005; in final form December 6, 2005; Published online December 9, 2005
Bibliographic databases:
Document Type: Article
MSC: 70H33; 37K10; 39A05
Language: English
Citation: Olexandr G. Rasin, Peter E. Hydon, “Conservation Laws of Discrete Korteweg–de Vries Equation”, SIGMA, 1 (2005), 026, 6 pp.
Citation in format AMSBIB
\Bibitem{RasHyd05}
\by Olexandr G. Rasin, Peter E. Hydon
\paper Conservation Laws of Discrete Korteweg--de~Vries Equation
\jour SIGMA
\yr 2005
\vol 1
\papernumber 026
\totalpages 6
\mathnet{http://mi.mathnet.ru/sigma26}
\crossref{https://doi.org/10.3842/SIGMA.2005.026}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2169849}
\zmath{https://zbmath.org/?q=an:1128.37052}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000207064600026}
Linking options:
  • https://www.mathnet.ru/eng/sigma26
  • https://www.mathnet.ru/eng/sigma/v1/p26
    • This publication is cited in the following 14 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:227
    Full-text PDF :64
    References:43
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024