Discretizations preserving all Lie point symmetries of the Korteweg-de Vries equation

Details Discretizations preserving all Lie point symmetries of the Korteweg-de Vries equation Discretizations preserving all Lie point symmetries of the Korteweg-de Vries equation

2005-07-15

arxiv.org/abs/math-ph/0507033v1

Physics

Mathematical Physics

6 pages, 5 figures, proceeding of the XXV International Colloquium on Group Theoretical Methods in Physics

Scientific paper

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.

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