The vector \(k\)-constrained KP hierarchy and Sato's Grassmannian

DOI10.1016/S0393-0440(97)81154-0zbMath0909.58021arXivq-alg/9609001MaRDI QIDQ1364351

Johan W. van de Leur

Publication date: 24 November 1998

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9609001

zbMATH Keywords

Kadomtsev-Petviashvili hierarchyinfinite GrassmannianGelfand-Dickey hierarchyinfinite matrix group

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

Related Items (7)

The vector \(k\)-constrained KP hierarchy and Sato's Grassmannian ⋮ Non-linear PDEs for gap probabilities in random matrices and KP theory ⋮ Hamiltonian structures of the constrained \(\mathfrak{F}\)-valued KP hierarchy ⋮ Boson–Fermion correspondence of the multi-component constrained mKP hierarchy ⋮ Block Toeplitz determinants, constrained KP and Gelfand-Dickey hierarchies ⋮ On Grassmannian description of the constrained KP hierarchy ⋮ On the constrained B-type Kadomtsev–Petviashvili hierarchy: Hirota bilinear equations and Virasoro symmetry

Cites Work

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