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 joins the equations at hand with the vanishing conditions for the generating functions of the symmetries under consideration. Such an 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/sym-invar.pdf

[2] B.Kruglikov, Symmetry, compatibility and exact solutions of PDEs, arXiv:1111.5856

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