Seminar talk, 8 December 2010

Speaker: Valentina Golovko

Title: Integrability and Hamiltonian formalism in $2+1$ dimensions. Part 1

Abstract:
The talk will discuss the construction of recursion operators and Hamiltonian formalism in $2+1$ dimensions by examples of KP and DS (Davey-Stewartson) equations, as well as the classification of scalar evolutionary integrable equations in $2+1$ dimensions.

References:
Athorne C. and Dorfman I.Ya. The Hamiltonian structure of the $(2+1)$-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 $2+1$ dimensions, arXiv:1011.2145