Seminar talk, 15 September 2010

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Speaker: Alexander Verbovetsky

Title: On the Kupershmidt and Dunajski deformations

Abstract:
After an examination of the construction of the Kupershmidt deformation, there will be an informal discussion on how it relates to the Dunajski deformation of the Plebański second heavenly equation.

References:
P.H.M. Kersten, I.S. Krasil’shchik, A. Verbovetsky, and R. Vitolo, Integrability of Kupershmidt deformations, arXiv:0812.4902

L.V. Bogdanov, V.S. Dryuma, and S.V. Manakov, Dunajski generalization of the second heavenly equation: dressing method and the hierarchy, arXiv:0707.1675

F. Neyzi, Y. Nutku, M.B. Sheftel, Multi-Hamiltonian structure of Plebanski's second heavenly equation, arXiv:nlin/0505030