Reductions of the dispersionless 2D Toda hierarchy and their Hamiltonian structures

Abstract

We study finite-dimensional reductions of the dispersionless 2D Toda hierarchy showing that the consistency conditions for such reductions are given by a system of radial Loewner equations. We then construct their Hamiltonian structures, following an approach proposed by Ferapontov.

15 pages

References in corpus (2)

• Hamiltonian structure of reductions of the Benney system
• Purely nonlocal Hamiltonian formalism for systems of hydrodynamic type

Cited by in corpus (1)

• Old and New Reductions of Dispersionless Toda Hierarchy