Seminar talk, 7 March 2012: Difference between revisions
Jump to navigation
Jump to search
No edit summary |
No edit summary |
||
| Line 4: | Line 4: | ||
| 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. | | 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. | ||
| 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, {{arXiv|1111.5856}} | [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 | ||
}} | }} | ||
Revision as of 21:44, 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 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/sym-invar.pdf
[2] B.Kruglikov, Symmetry, compatibility and exact solutions of PDEs, arXiv:1111.5856