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 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