Morozov O. Lie pseudo-groups and coverings of differential equations, talk at The Workshop on Geometry of PDEs and Integrability, 14-18 October 2013, Teplice nad Becvou, Czech Republic (abstract): Difference between revisions
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| title = Lie pseudo-groups and coverings of differential equations | | title = Lie pseudo-groups and coverings of differential equations | ||
| abstract = We discuss the interplay between Eli Cartan's structure theory of Lie pseudo-groups and coverings of differential equations. We apply the technique of contact integrable extensions of symmetry pseudo-groups to demonstrate the Lax integrability of the 4-dimensional generalization of the rdDym equation, to derive a recursion operator for this equation, and to prove existence of a Bäcklund transformation between Ovsienko's bi-Hamiltonian system and the cotangent covering of the rdDym equation. | | abstract = We discuss the interplay between Eli Cartan's structure theory of Lie pseudo-groups and coverings of differential equations. We apply the technique of contact integrable extensions of symmetry pseudo-groups to demonstrate the Lax integrability of the 4-dimensional generalization of the rdDym equation, to derive a recursion operator for this equation, and to prove existence of a Bäcklund transformation between Ovsienko's bi-Hamiltonian system and the cotangent covering of the rdDym equation. | ||
| slides = | | slides = [[Media:Morozov O. Lie pseudo-groups and coverings of differential equations (presentation at The Workshop on Geometry of PDEs and Integrability, 14-18 October 2013, Teplice nad Becvou, Czech Republic).pdf|Morozov O. Lie pseudo-groups and coverings of differential equations (presentation at The Workshop on Geometry of PDEs and Integrability, 14-18 October 2013, Teplice nad Becvou, Czech Republic).pdf]] | ||
| references = | | references = | ||
| 79YY-MM-DD = 7986-89-85 | | 79YY-MM-DD = 7986-89-85 | ||
}} | }} | ||
Latest revision as of 13:24, 13 November 2013
Speaker: Oleg Morozov
Title: Lie pseudo-groups and coverings of differential equations
Abstract:
We discuss the interplay between Eli Cartan's structure theory of Lie pseudo-groups and coverings of differential equations. We apply the technique of contact integrable extensions of symmetry pseudo-groups to demonstrate the Lax integrability of the 4-dimensional generalization of the rdDym equation, to derive a recursion operator for this equation, and to prove existence of a Bäcklund transformation between Ovsienko's bi-Hamiltonian system and the cotangent covering of the rdDym equation.