Quantum Lax Pairs via Dunkl and Cherednik Operators
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-019-03289-8
Abstract: We establish a direct link between Dunkl operators and quantum Lax matrices $${{\mathcal{L}}}$$L for the Calogero–Moser systems associated to an arbitrary Weyl group W (or an arbitrary finite reflection group in the rational case). This… read more here.
Keywords: cherednik operators; quantum lax; lax pairs; case ... See more keywords
Lax pairs, recursion operators and bi-Hamiltonian representations of (3+1)-dimensional Hirota type equations
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2018.11.008
Abstract: Abstract We consider (3+1)-dimensional second-order evolutionary PDEs where the unknown u enters only in the form of the 2nd-order partial derivatives. For such equations which possess a Lagrangian, we show that all of them have… read more here.
Keywords: lax pairs; form; pairs recursion; recursion operators ... See more keywords
Lax Pairs for Linear Hamiltonian Systems
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DOI: 10.1134/s0037446619040050
Abstract: We construct Lax pairs for linear Hamiltonian systems of differential equations. In particular, the Grobner bases are used for computations. It is proved that the mappings in the construction of Lax pairs are Poisson. Under… read more here.
Keywords: lax pairs; linear hamiltonian; pairs linear; hamiltonian systems ... See more keywords