Seminar talk, 8 December 2010

From Geometry of Differential Equations
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Speaker: Valentina Golovko

Title: Integrability and Hamiltonian formalism in dimensions. Part 1

Abstract:
The talk will discuss the construction of recursion operators and Hamiltonian formalism in dimensions by examples of KP and DS (Davey-Stewartson) equations, as well as the classification of scalar evolutionary integrable equations in dimensions.

References:
Athorne C. and Dorfman I.Ya. The Hamiltonian structure of the -dimensional Ablowitz-Kaup-Newell-Segur hierarchy, J. Math. Phys. 34 (1993) 3507-3517, doi:10.1063/1.530040

Novikov V.S. and Ferapontov E.V. On the classification of scalar evolutionary integrable equations in dimensions, arXiv:1011.2145