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Lie Symmetries of PDE's, Similarity Solutions, and Conservation Laws (or: why you should know about the isovector theory of differential ideals)
Student-Run Research| Speaker: | David Raske, Mathematics, UC Davis |
| Location: | 693 Kerr |
| Start time: | Thu, Apr 29 1999, 1:10PM |
Description
In the last twenty years an exterior-calculus based theory has
been developped with which one can find the similarity solutions (and
conserved quantities when relevant) of non-linear pde systems. In fifty
minutes or so, I'm going to attempt to demonstrate how (and to some
extent, why) this theory works and illustrate it's use with
application to some physically important examples (e.g., Sinh-Gordon
equation, nonlinear Schrodinger equations...)