Discretizations preserving all Lie point symmetries of the Korteweg-de Vries equation
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🧮 math-ph
math.GRmath.MP
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equationkorteweg-depointsymmetriesvriescenteredcontinuousdescritize
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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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