Symbolic Computation Group
David R. Cheriton School of Computer Science
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Friday, September 12, 2003, at U. of Waterloo.
Abstract:
If a *given* non-linear differential equation (DE) or system of DEs is
to be investigated wrt. special properties, like infinitesimal
symmetries, then the resulting conditions (e.g. for the generators of
these symmetries) are linear. If, on the other hand, one wants to
*find* PDEs which obey higher order symmetries (as a pre-requisite for
being integrable) then one searches for 2 things at once: DEs and
symmetries and the resulting conditions become non-linear. In the
simplest case these are bi-linear algebraic systems but they can
become large: >1000 equations for >200 unknowns.
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Last modified on Sunday, 04 November 2012, at 15:42 hours.