Transformations of integrable hydrodynamic chains and their hydrodynamic reductions

2006/04/21 by M. V. Pavlov, Pavlov, Maxim V.
Engineering · Mathematics · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.nlin/0604050

openalex publication_date 2006/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• The Hamiltonian approach in classification and integrability of hydrodynamic chains

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