Classification of integrable two-component Hamiltonian systems of hydrodynamic type in 2 + 1 dimensions

DOI10.1063/1.3602081zbMath1317.37071arXiv1007.3782OpenAlexW2031904834MaRDI QIDQ5266091

Nikola M. Stoilov, Alexander Odesskii, Evgeny V. Ferapontov

Publication date: 29 July 2015

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

Full work available at URL: https://arxiv.org/abs/1007.3782

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Families and moduli spaces in arithmetic and non-Archimedean dynamical systems (37P45)

Related Items (7)

Higher-order dispersive deformations of multidimensional Poisson brackets of hydrodynamic type ⋮ Dispersive deformations of Hamiltonian systems of hydrodynamic type in \(2+1\) dimensions ⋮ Contact integrable extensions and differential coverings for the generalized \((2 + 1)\)-dimensional dispersionless Dym equation ⋮ Numerical study of break-up in solutions to the dispersionless Kadomtsev-Petviashvili equation ⋮ Hamiltonian operators of Dubrovin-Novikov type in 2D ⋮ On the canonical forms of the multi-dimensional averaged Poisson brackets ⋮ On deformations of multidimensional Poisson brackets of hydrodynamic type

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