Integrability of the Egorov hydrodynamic type systems

Abstract

Integrability criterion for the Egorov hydrodynamic type systems is presented. The general solution by generalized hodograph method is found. Examples are given

References in corpus (3)

• On the local systems Hamiltonian in the weakly nonlocal Poisson brackets
• Reciprocal transformations of Hamiltonian operators of hydrodynamic type: nonlocal Hamiltonian formalism for linearly degenerate systems
• On the Whitham hierarchy: dressing scheme, string equations and additional symmetrie

Cited by in corpus (3)

• Explicit solutions of the WDVV equation determined by the "flat" hydrodynamic reductions of the Egorov hydrodynamic chains
• New Hamiltonian formalism and Lagrangian representations for integrable hydrodynamic type systems
• Dispersionful Version of WDVV Associativity System