Classification of integrable hydrodynamic chains

DOI10.1088/1751-8113/43/43/434027zbMath1220.37056arXiv1001.0020OpenAlexW1999056144MaRDI QIDQ3057441

Vladimir Sokolov, Alexander Odesskii

Publication date: 24 November 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.0020

zbMATH Keywords

hydrodynamical reductionintegrable chains of hydrodynamical type

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relationships between algebraic curves and integrable systems (14H70) Applications of Lie algebras and superalgebras to integrable systems (17B80) Applications of holomorphic fiber spaces to the sciences (32L81)

Related Items (4)

Non-homogeneous systems of hydrodynamic type possessing Lax representations ⋮ On symmetries of the Gibbons-Tsarev equation ⋮ Parabolic regularization of the gradient catastrophes for the Burgers–Hopf equation and Jordan chain ⋮ Symmetric matrix ensemble and integrable hydrodynamic chains

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