Integrable 2+1 hydrodynamic type equations, hydrodynamic chains and their solutions

Abstract:
Infinitely many local Hamiltonian structure for the DKP-Benney hierarchy are described. All hydrodynamic reductions connected with flat Egorov metric are found.
By reciprocal and Miura type transformations corresponding Hamiltonian structures and hydrodynamic reductions for the Boyer-Finley equation and for the dispersionless limit of 2+1 Harry Dym equation are obtained.