Bispectral KP solutions and linearization of Calogero-Moser particle systems
From MaRDI portal
Publication:1908064
DOI10.1007/BF02099435zbMath0842.58047arXivhep-th/9412124MaRDI QIDQ1908064
Publication date: 4 August 1996
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9412124
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Other elementary particle theory in quantum theory (81V25) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)
Related Items
The non-commutative Korteweg-de Vries hierarchy and combinatorial Pöppe algebra, Special polynomials associated with rational solutions of the Painlevé equations and applications to soliton equations, The algebraic structure of the non-commutative nonlinear Schrödinger and modified Korteweg-de Vries hierarchy, Solvable scalar and spin models with near-neighbors interactions, Dualities in the q‐Askey Scheme and Degenerate DAHA, Highest weight modules over the \(W_{1+\infty}\) algebra and the bispectral problem, An explicit characterization of Calogero–Moser systems, Bispectral Darboux transformations: The generalized Airy case, The trigonometric grassmannian and a difference \(W\)-algebra, Solitons and almost-intertwining matrices, Orthogonal polynomials and the finite Toda lattice, Spin Calogero particles and bispectral solutions of the matrix KP hierarchy, \(q\)-KP hierarchy, bispectrality and Calogero-Moser systems, Calogero-Moser spaces and an adelic \(W\)-algebra., On a theorem of Halphen and its application to integrable systems, On KP generators and the geometry of the HBDE, Strictly nilpotent elements and bispectral operators in the Weyl algebra.
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Differential equations in the spectral parameter
- Rational solutions of the Zakharov-Shabat equations and completely integrable systems of \(N\) particles on a line
- Loop groups and equations of KdV type
- On a class of polynomials connected with the Korteweg-de Vries equation
- On the polynomial \(\tau\)-functions for the KP hierarchy and the bispectral property
- Rational solutions of the Kadomtsev-Petviashvili equation and integrable systems of \(n\) particles on a line
- Additional symmetries for integrable equations and conformal algebra representation
- Cohomological structure in soliton equations and Jacobian varieties
- Bispectral commutative ordinary differential operators.
- RATIONAL SOLUTIONS OF THE KADOMTSEV-PETVIASHVILI EQUATION AND HAMILTONIAN SYSTEMS
- Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
- METHODS OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON-LINEAR EQUATIONS
- Calogero–Moser hierarchy and KP hierarchy