Transformations of integrable hydrodynamic chains and their hydrodynamic reductions

Abstract

Hydrodynamic reductions of the hydrodynamic chain associated with dispersionless limit of 2+1 Harry Dym equation are found by the Miura type and reciprocal transformations applied to the Benney hydrodynamic chain.

References in corpus (2)

• The Hamiltonian approach in classification and integrability of hydrodynamic chains
• The Kupershmidt hydrodynamic chains and lattices

Cited by in corpus (1)

• Differential Geometry of Hydrodynamic Vlasov Equations