The Toda flow as a porous medium equation

DOI10.1007/s00220-023-04680-2arXiv2207.10214OpenAlexW4327989000MaRDI QIDQ6110170

Boris A. Khesin, Klas Modin

Publication date: 4 July 2023

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

Full work available at URL: https://arxiv.org/abs/2207.10214

zbMATH Keywords

integrable PDEincompressible porous mediumdispersionless Toda system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

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