Non-homogeneous Hamiltonian structures for quasilinear systems
Mathematical Physics
2023-05-23 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
This paper aims at investigating necessary (and sufficient) conditions for quasilinear systems of first order PDEs to be Hamiltonian, with non-homogeneous operators of order 1 + 0, also with degenerate leading coefficient. As a byproduct, Tsarev's compatibility conditions are extended to degenerate operators. Some examples are finally discussed.
Keywords
Cite
@article{arxiv.2301.10713,
title = {Non-homogeneous Hamiltonian structures for quasilinear systems},
author = {Pierandrea Vergallo},
journal= {arXiv preprint arXiv:2301.10713},
year = {2023}
}
Comments
Accepted for publication at BUMI (Bollettino dell'Unione Matematica Italiana) - Special Edition for the First UMI meeting of PhD students