Hamiltonian multiform description of an integrable hierarchy

DOI10.1063/5.0012153zbMath1458.37067arXiv2004.01164OpenAlexW3014146696MaRDI QIDQ3386517

Matteo Stoppato, Vincent Caudrelier

Publication date: 4 January 2021

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

Full work available at URL: https://arxiv.org/abs/2004.01164

zbMATH Keywords

Korteweg-de Vries hierarchyAblowitz-Kaup-Newell-Segur hierarchyLagrangian multiformsmultisymplectic formsine-Gordon hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Symplectic field theory; contact homology (53D42) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06) Variational principles and methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K58)

Related Items (5)

Lagrangian multiforms on coadjoint orbits for finite-dimensional integrable systems ⋮ Classical Yang-Baxter equation, Lagrangian multiforms and ultralocal integrable hierarchies ⋮ Lagrangian multiforms on Lie groups and non-commuting flows ⋮ On the Zakharov-Mikhailov action: 4d Chern-Simons origin and covariant Poisson algebra of the Lax connection ⋮ Multiform description of the AKNS hierarchy and classical r-matrix

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