\(q\)-KP hierarchy, bispectrality and Calogero-Moser systems
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Publication:1583935
DOI10.1016/S0393-0440(00)00006-1zbMath0983.37080MaRDI QIDQ1583935
Publication date: 5 February 2001
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
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) Difference operators (39A70)
Related Items (16)
Morphisms of double (quasi-)Poisson algebras and action-angle duality of integrable systems ⋮ Rational Ruijsenaars-Schneider hierarchy and bispectral difference operators ⋮ Askey-Wilson type functions with bound states ⋮ Multiplicative quiver varieties and generalised Ruijsenaars-Schneider models ⋮ Reflective prolate‐spheroidal operators and the adelic Grassmannian ⋮ The ghost symmetries of the q-KP hierarchy ⋮ String equations of the \( q \)-KP hierarchy ⋮ Algebras of commuting differential operators for kernels of Airy type ⋮ Krall-Jacobi commutative algebras of partial differential operators ⋮ Bispectral extensions of the Askey-Wilson polynomials ⋮ On the Hamiltonian formulation of the trigonometric spin Ruijsenaars-Schneider system ⋮ Two kinds of Darboux-Bäcklund transformations for the \(q\)-deformed KdV hierarchy with self-consistent sources ⋮ The trigonometric grassmannian and a difference \(W\)-algebra ⋮ Symmetric \(q\)-deformed KP hierarchy ⋮ A new extended q-deformed KP hierarchy ⋮ Virasoro symmetry of the constrained multi-component \(q\)-KP and \(q\)-MKP hierarchies
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