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

2006/06/02 by M. V. Pavlov, Pavlov, Maxim V.
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.nlin/0606008

openalex publication_date 2006/06/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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

Citations

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

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