Classification of $$1+0$$ Two-Dimensional Hamiltonian Operators
Abstract In this paper, we study Hamiltonian operators which are sum of a first order operator and of a Poisson tensor, in two spatial independent variables. In particular, a complete classification of these operators is presented in two and three components, analyzing both the cases of degenerate and non degenerate leading coefficients.
Authors
- Alessandra Rizzo (ORCID: https://orcid.org/0000-0003-4710-7166)
Institutions
- University of Palermo (IT)
Publication Details
- Journal
- Mathematical Physics Analysis and Geometry
- Published
- 2025-04-29
- DOI
- https://doi.org/10.1007/s11040-025-09506-2
- Citations
- 1
- Primary Topic
- Nonlinear Waves and Solitons
- Type
- article
- Field-Weighted Citation Impact
- 1.32
Funders
- Ministero dell’Istruzione, dell’Università e della Ricerca
- Università degli Studi di Palermo
- Gruppo Nazionale per la Fisica Matematica