Conservation Laws of Discrete Korteweg-de Vries Equation
Rasin, Olexandr G. ; Hydon, Peter E.
arXiv, 0512021 / Harvested from arXiv
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.
Publié le : 2005-12-09
Classification:  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  Mathematical Physics
@article{0512021,
     author = {Rasin, Olexandr G. and Hydon, Peter E.},
     title = {Conservation Laws of Discrete Korteweg-de Vries Equation},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0512021}
}
Rasin, Olexandr G.; Hydon, Peter E. Conservation Laws of Discrete Korteweg-de Vries Equation. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0512021/