Classification of degenerate non-homogeneous Hamiltonian operators
Mathematical Physics
2023-04-05 v3 math.MP
Abstract
In this paper, the authors investigate non-homogeneous Hamiltonian operators composed of a first-order Dubrovin-Novikov operator and an ultralocal one. The study of such operators turns out to be fundamental for the inverted system of equations associated with a class of Hamiltonian scalar equations. Often, the involved operators are degenerate in the first-order term. For this reason, a complete classification of the operators with degenerate leading coefficient in systems of 2 and 3 components is presented.
Keywords
Cite
@article{arxiv.2210.14289,
title = {Classification of degenerate non-homogeneous Hamiltonian operators},
author = {Marta Dell'Atti and Pierandrea Vergallo},
journal= {arXiv preprint arXiv:2210.14289},
year = {2023}
}