Conservation Laws of Discrete Korteweg-de Vries Equation
Exactly Solvable and Integrable Systems
2008-04-24 v1 Mathematical Physics
math.MP
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
Cite
@article{arxiv.nlin/0512021,
title = {Conservation Laws of Discrete Korteweg-de Vries Equation},
author = {Olexandr G. Rasin and Peter E. Hydon},
journal= {arXiv preprint arXiv:nlin/0512021},
year = {2008}
}
Comments
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/