On rational solutions of multicomponent and matrix KP hierarchies

DOI10.1016/j.geomphys.2011.02.007zbMath1225.37081arXiv1011.1427OpenAlexW2141652768MaRDI QIDQ550279

Alberto Tacchella

Publication date: 8 July 2011

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

Full work available at URL: https://arxiv.org/abs/1011.1427

zbMATH Keywords

integrable systemsCalogero-Moser systemsSato theorymulticomponent KP hierarchy

Mathematics Subject Classification ID

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) Pseudodifferential operators (47G30)

Related Items (7)

Lump-type solutions to the \((3+1)\)-dimensional Jimbo-Miwa equation ⋮ Non-Abelian integrable hierarchies: matrix biorthogonal polynomials and perturbations ⋮ Spin generalization of the Calogero–Moser hierarchy and the matrix KP hierarchy ⋮ Time discretization of the spin Calogero-Moser model and the semi-discrete matrix KP hierarchy ⋮ Exact rational solutions to a Boussinesq-like equation in (\(1 + 1\))-dimensions ⋮ Rational solutions to two new KP-like equations ⋮ Abundant lump-type solutions of the Jimbo-Miwa equation in \((3+1)\)-dimensions

Cites Work

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• From solitons to many-body systems
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• Loop groups and equations of KdV type
• Collisions of Calogero-Moser particles and an adelic Grassmannian (with an appendix by I. G. Macdonald)
• Rational solutions of the Kadomtsev-Petviashvili equation and integrable systems of \(n\) particles on a line
• Automorphisms and ideals of the Weyl algebra
• Bispectral commutative ordinary differential operators.
• Spectral curves, algebraically completely integrable Hamiltonian systems, and moduli of bundles

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