2 papers
math-ph2021
Quantization of Calogero-Painlevé System and Multi-Particle Quantum Painlevé Equations II-VI
Fatane Mobasheramini, Marco Bertola
We consider the isomonodromic formulation of the Calogero-Painlevé multi-particle systems and proceed to their canonical quantization. We then proceed to the quantum Hamiltonian re…
nlin.SI2017
Integrable U(1)-invariant peakon equations from the NLS hierarchy
Stephen C. Anco, Fatane Mobasheramini
Two integrable -invariant peakon equations are derived from the NLS hierarchy through the tri-Hamiltonian splitting method. A Lax pair, a recursion operator, a bi-Hamiltonian…