Seminar talk, 7 March 2012: Difference between revisions
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| speaker = Alexander Verbovetsky | | speaker = Alexander Verbovetsky | ||
| title = On the existence of invariant solutions of PDEs | | 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 | | 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. | ||
| slides = | | slides = | ||
| references = [1] S.Igonin and A. Verbovetsky, Symmetry-invariant solutions of PDEs and their generalizations, [http://www.staff.science.uu.nl/~igoni101/preprints http://www.staff.science.uu.nl/~igoni101/preprints] | | 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 http://www.staff.science.uu.nl/~igoni101/preprints/sym-invar.pdf] | ||
[2] B.Kruglikov, Symmetry, compatibility and exact solutions of PDEs, {{ | [2] B.Kruglikov, Symmetry, compatibility and exact solutions of PDEs, {{arXiv|1111.5856}} | ||
| 79YY-MM-DD = 7987-96-92 | | 79YY-MM-DD = 7987-96-92 | ||
}} | }} | ||
Latest revision as of 21:46, 1 March 2012
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