Conservation Laws of Discrete Korteweg-de Vries Equation

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 deter...

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Datum:2005
Hauptverfasser: Rasin, O.G., Hydon, P.E.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2005
Schriftenreihe:Symmetry, Integrability and Geometry: Methods and Applications
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/209334
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Conservation Laws of Discrete Korteweg-de Vries Equation / O.G. Rasin, P.E. Hydon // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 3 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Zusammenfassung: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.