Seminar talk, 22 December 2010

Speaker: Valentina Golovko

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

Abstract:
The talk will discuss the construction of recursion operators and Hamiltonian formalism in $2+1$ dimensions by examples of $(2+1)$-AKNS hierarchy.

References:
Fokas A.S. and Santini P.M. Recursion operators and bi-Hamiltonian structures in multidimensions. I, Commun. Math. Phys. 115 (1988) 375-419, doi:10.1007/BF01218017, http://projecteuclid.org/euclid.cmp/1104160997

Fokas A.S. and Santini P.M. Recursion operators and bi-Hamiltonian structures in multidimensions. II, Commun. Math. Phys. 116 (1988) 449-474, doi:10.1007/BF01229203, http://projecteuclid.org/euclid.cmp/1104161422