Conservation Laws of Discrete Korteweg-de Vries Equation

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2005
• ISSN: 1815-0659
• Main Authors: Rasin, O.G., Hydon, P.E.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209334
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...