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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
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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
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\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
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\crossref{https://doi.org/10.3842/SIGMA.2005.026}
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\zmath{https://zbmath.org/?q=an:1128.37052}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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