Discretizations preserving all Lie point symmetries of the Korteweg-de Vries equation
Valiquette, Francis
arXiv, 0507033 / Harvested from arXiv
We show how to descritize the Korteweg-de Vries equation in such a way as to preserve all the Lie point symmetries of the continuous differential equation. It is shown that, for a centered implicit scheme, there are at least two possible ways of doing so.
Publié le : 2005-07-14
Classification:  Mathematical Physics,  Mathematics - Group Theory,  39A99,  57s99
@article{0507033,
     author = {Valiquette, Francis},
     title = {Discretizations preserving all Lie point symmetries of the Korteweg-de
  Vries equation},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0507033}
}
Valiquette, Francis. Discretizations preserving all Lie point symmetries of the Korteweg-de
  Vries equation. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0507033/