Explicit solutions of the WDVV equation determined by the "flat" hydrodynamic reductions of the Egorov hydrodynamic chains

Abstract

Classification of the Egorov hydrodynamic chain and corresponding 2+1 quasilinear system is given in the previous paper. In this paper we present a general construction of explicit solutions for the WDVV equation associated with Hamiltonian hydrodynamic reductions of these Egorov hydrodynamic chains

References in corpus (3)

• The Hamiltonian approach in classification and integrability of hydrodynamic chains
• The Kupershmidt hydrodynamic chains and lattices
• Integrability of the Egorov hydrodynamic type systems

Cited by in corpus (7)

• Trigonometric Solutions of WDVV Equations and Generalized Calogero-Moser-Sutherland Systems
• On Kernel Formulas and Dispersionless Hirota Equations
• Differential Geometry of Hydrodynamic Vlasov Equations
• On the water-bag model of dispersionless KP hierarchy (II)
• The Kupershmidt hydrodynamic chains and lattices
• New Hamiltonian formalism and Lagrangian representations for integrable hydrodynamic type systems
• Legendre transforms for type $A_n$ and $B_n$ $\vee$-systems