Verbovetsky A. Hamiltonian structures for general PDEs, talk at The Abel Symposium 2008, Differential Equations - Geometry, Symmetries and Integrability, 18-21 June 2008, Tromso, Norway (abstract): Difference between revisions
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We will give an answer to this question, describe the corresponding geometry, consider examples, in particular, construct a bihamiltonian structure for Kupershmidt's nonholonomic deformation of a bihamiltonian system. | We will give an answer to this question, describe the corresponding geometry, consider examples, in particular, construct a bihamiltonian structure for Kupershmidt's nonholonomic deformation of a bihamiltonian system. | ||
| slides = [[Media:Kersten_P.%2C_Krasil%27shchik_I.%2C_Verbovetsky_A.%2C_Vitolo_R._Hamiltonian_structures_for_general_PDEs_%28presentation_at_The_Abel_Symposium_2008%2C_Differential_Equations_-_Geometry%2C_Symmetries_and_Integrability%2C_18-21_June_2008%2C_Tromso%2C_Norway%29.pdf]] | | slides = [[Media:Kersten_P.%2C_Krasil%27shchik_I.%2C_Verbovetsky_A.%2C_Vitolo_R._Hamiltonian_structures_for_general_PDEs_%28presentation_at_The_Abel_Symposium_2008%2C_Differential_Equations_-_Geometry%2C_Symmetries_and_Integrability%2C_18-21_June_2008%2C_Tromso%2C_Norway%29.pdf|Kersten P., Krasil'shchik I., Verbovetsky A., Vitolo R. Hamiltonian structures for general PDEs (presentation at The Abel Symposium 2008, Differential Equations - Geometry, Symmetries and Integrability, 18-21 June 2008, Tromso, Norway).pdf]] | ||
| references = {{arXiv|0812.4895}} | | references = P. Kersten, I. Krasil'shchik, A. Verbovetsky, and R. Vitolo, ''Hamiltonian structures for general PDEs'', Differential Equations - Geometry, Symmetries and Integrability: The Abel Symposium 2008 (B. Kruglikov, V. Lychagin, and E. Straume, eds.), Abel Symposia 5, Springer, 2009, pp. 187-198, {{arXiv|0812.4895}} | ||
| 79YY-MM-DD = 7991-93-80 | | 79YY-MM-DD = 7991-93-80 | ||
}} | }} | ||
Latest revision as of 22:55, 20 October 2010
Speaker: Alexander Verbovetsky
Title: Hamiltonian structures for general PDEs
Abstract:
We will discuss the following question: What happens to a Hamiltonian operator of an evolution system if we change coordinates so that the system becomes non-evolution?
We will give an answer to this question, describe the corresponding geometry, consider examples, in particular, construct a bihamiltonian structure for Kupershmidt's nonholonomic deformation of a bihamiltonian system.
Slides: Kersten P., Krasil'shchik I., Verbovetsky A., Vitolo R. Hamiltonian structures for general PDEs (presentation at The Abel Symposium 2008, Differential Equations - Geometry, Symmetries and Integrability, 18-21 June 2008, Tromso, Norway).pdf
References:
P. Kersten, I. Krasil'shchik, A. Verbovetsky, and R. Vitolo, Hamiltonian structures for general PDEs, Differential Equations - Geometry, Symmetries and Integrability: The Abel Symposium 2008 (B. Kruglikov, V. Lychagin, and E. Straume, eds.), Abel Symposia 5, Springer, 2009, pp. 187-198, arXiv:0812.4895