
SIGMA 1 (2005), 026, 6 pages nlin.SI/0512021
https://doi.org/10.3842/SIGMA.2005.026
Conservation Laws of Discrete Kortewegde Vries Equation
Olexandr G. Rasin and Peter E. Hydon
Department of Mathematics and Statistics, University of Surrey, Guildford, Surrey GU2 7XH, UK
Received October 21, 2005, in final form December 06, 2005; Published online December 09, 2005
Abstract
All threepoint and fivepoint conservation laws for the discrete Kortewegde 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.
Key words:
conservation laws; discrete equations; quadgraph.
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