Hamiltonian structure of reductions of the Benney system

Abstract

We show how to construct the Hamiltonian structures of any reduction of the Benney chain (dKP) starting from the family of conformal maps associated to it.

35 pages, 2 figures

References in corpus (1)

• Frobenius Manifolds and Central Invariants for the Drinfeld - Sokolov Bihamiltonian Structures

Cited by in corpus (2)

• Purely nonlocal Hamiltonian formalism for systems of hydrodynamic type
• Reductions of the dispersionless 2D Toda hierarchy and their Hamiltonian structures