Lagrangian Grassmannians, CKP hierarchy and hyperdeterminantal relations

DOI10.1007/s00220-023-04670-4zbMath1525.37074arXiv2202.13991OpenAlexW4360981001MaRDI QIDQ6165430

Semeon Arthamonov, Jacques Hurtubise, J. Harnad

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/2202.13991

zbMATH Keywords

Fock spacesoliton equationsKadomtsev-Petviashvili equationLagrangian GrassmannianSato theory

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Grassmannians, Schubert varieties, flag manifolds (14M15) Soliton equations (35Q51) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Relationships between algebraic curves and integrable systems (14H70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items

Tau functions, infinite Grassmannians, and lattice recurrences, Multicomponent KP type hierarchies and their reductions, associated to conjugacy classes of Weyl groups of classical Lie algebras

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