Integrability of the Egorov hydrodynamic type systems

2006/06/06 by M. V. Pavlov, Maxim V. Pavlov, Pavlov, Maxim V. · 2 citations
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Advanced Mathematical Physics Problems #Nonlinear Waves and Solitons #nlin.SI

paper · pdf · doi:10.48550/arxiv.nlin/0606017

arxiv created 2006/06/07 · arxiv updated 2009/12/01

Abstract

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

Cited by

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

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