Quasilinear systems of first order PDEs with nonlocal Hamiltonian structures
Mathematical Physics
2022-10-18 v1 math.MP
Abstract
In this paper we wonder whether a quasilinear system of PDEs of first order admits Hamiltonian formulation with local and nonlocal operators. By using the theory of differential coverings, we find differential-geometric conditions necessary to write a given system with one of the three Hamiltonian operators investigated.
Keywords
Cite
@article{arxiv.2203.13554,
title = {Quasilinear systems of first order PDEs with nonlocal Hamiltonian structures},
author = {Pierandrea Vergallo},
journal= {arXiv preprint arXiv:2203.13554},
year = {2022}
}