Constrained KP models as integrable matrix hierarchies

DOI10.1063/1.531908zbMath0872.58034arXivhep-th/9509096OpenAlexW2025722970MaRDI QIDQ4339571

A. H. Zimerman, J. F. Gomes, Henrik Aratyn, Luiz Agostinho Ferreira

Publication date: 19 October 1997

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

Full work available at URL: https://arxiv.org/abs/hep-th/9509096

zbMATH Keywords

isospectral flowsconstrained KP hierarchymatrix integrable hierarchy

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) 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)

Related Items (8)

Extensions of the matrix Gelfand-Dickey hierarchy from generalized Drinfeld-Sokolov reduction ⋮ The vector \(k\)-constrained KP hierarchy and Sato's Grassmannian ⋮ GAUGING OF GEOMETRIC ACTIONS AND INTEGRABLE HIERARCHIES OF THE KP TYPE ⋮ Matrix formulation of Hamiltonian structures of constrained KP hierarchy ⋮ Tau-functions generating the conservation laws for generalized integrable hierarchies of KdV and affine Toda type ⋮ On the modified constrained Kadomtsev–Petviashvili equations ⋮ Generalized Bäcklund transformations for affine Toda hierarchies ⋮ Integrable hierarchy for multidimensional Toda equations and topological-anti-topological fusion.

Cites Work

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• Affine Lie algebraic origin of constrained KP hierarchies
• Dispersionful analogues of Benney's equations and N -wave systems

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