On the prolongation of a local hydrodynamic-type Hamiltonian operator to a nonlocal one
Mathematical Physics
2024-11-03 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
Nonlocal Hamiltonian operators of Ferapontov type are well-known objects that naturally arise local from Hamiltonian operators of Dubrovin-Novikov type with the help of three constructions, Dirac reduction, recursion scheme and reciprocal transformation. We provide an additional construction, namely the prolongation of a local hydrodynamic-type Hamiltonian operator of a subsystem to its nonlocal counterpart for the entire system. We exemplify this construction by a system governing an isothermal no-slip drift flux.
Keywords
Cite
@article{arxiv.2410.09669,
title = {On the prolongation of a local hydrodynamic-type Hamiltonian operator to a nonlocal one},
author = {Stanislav Opanasenko and Roman O. Popovych},
journal= {arXiv preprint arXiv:2410.09669},
year = {2024}
}