Degenerate bi-Hamiltonian structures of hydrodynamic type
This paper is devoted to degenerate bi-Hamiltonian Poisson brackets of hydrodynamic type. It is shown that they are bi-Hamiltonian structures of certain dispersionless rational Lax equations and are related to the notion of a degenerate Frobenius manifold (the natural geometric setting in which the bi-Hamiltonian structure of hydrodynamic systems can be understood is the Frobenius manifold).
scientific article; zbMATH DE number 1535324