Variational bihamiltonian cohomologies and integrable hierarchies. I: Foundations
DOI10.1007/s00220-023-04658-0arXiv2106.13038OpenAlexW4287113467MaRDI QIDQ6160273
Si-Qi Liu, Zhe Wang, You-Jin Zhang
Publication date: 23 June 2023
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.13038
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Symmetries and conservation laws in mechanics of particles and systems (70S10) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)
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