On integrability of a special class of two-component (2+1)-dimensional hydrodynamic-type systems

DOI10.3842/SIGMA.2009.011zbMath1160.37398arXiv0901.4312OpenAlexW1970999940MaRDI QIDQ1016720

Ziemowit Popowicz, Maxim P. Pavlov

Publication date: 21 May 2009

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.4312

zbMATH Keywords

hydrodynamic-type systemdispersionless Lax representation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)

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Classification of a subclass of two-dimensional lattices via characteristic Lie rings ⋮ A classification algorithm for integrable two-dimensional lattices via Lie-Rinehart algebras ⋮ Algebraic properties of quasilinear two-dimensional lattices connected with integrability ⋮ Classification of a subclass of quasilinear two-dimensional lattices by means of characteristic algebras ⋮ Integrability conditions for two-dimensional Toda-like equations

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