Multidimensional Nonhomogeneous Quasi-Linear Systems and Their Hamiltonian Structure
In this paper, we investigate multidimensional first-order quasi-linear systems and find necessary conditions for them to admit Hamiltonian formulation. The insufficiency of the conditions is related to the Poisson cohomology of the admissible Hamiltonian operators. We present in detail the examples...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2024 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2024
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212615 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Multidimensional Nonhomogeneous Quasi-Linear Systems and Their Hamiltonian Structure. Xin Hu and Matteo Casati. SIGMA 20 (2024), 081, 17 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | In this paper, we investigate multidimensional first-order quasi-linear systems and find necessary conditions for them to admit Hamiltonian formulation. The insufficiency of the conditions is related to the Poisson cohomology of the admissible Hamiltonian operators. We present in detail the examples of two-dimensional, two-component systems of hydrodynamic type and of a real reduction of the 3-wave system.
|
|---|---|
| ISSN: | 1815-0659 |