Seminar talk, 7 March 2012

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Speaker: Alexander Verbovetsky

Title: On the existence of invariant solutions of PDEs

Abstract:
To compute solutions of a system of PDEs invariant with respect to (higher) symmetries, one join the equations at hand and the vanishing conditions for the generating functions of the symmetries under consideration. Such a overdetermined system is generally compatible. The talk will discuss papers [1] and [2] that offer explanations of this fact.

References:
[1] S.Igonin and A. Verbovetsky, Symmetry-invariant solutions of PDEs and their generalizations, http://www.staff.science.uu.nl/~igoni101/preprints

[2] B.Kruglikov, Symmetry, compatibility and exact solutions of PDEs, Template:Arxiv

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