Two-dimensional ‘discrete hydrodynamics’ and Monge–Ampère equations

DOI10.1017/S0143385702001049zbMath1018.37050OpenAlexW2068473723MaRDI QIDQ4800188

Alexander P. Veselov, Jürgen K. Moser

Publication date: 15 July 2003

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385702001049

zbMATH Keywords

linearizationEuler equationsMonge-Ampère equationBäcklund transformationarea-preserving plane diffeomorphismstwo-dimensional hydrodynamicsdiscrete-time Lagrangian system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Incompressible inviscid fluids (76B99) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65)

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