Multidimensional Nonhomogeneous Quasi-Linear Systems and Their Hamiltonian Structure

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2024
• Main Authors: Hu, Xin, Casati, Matteo
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2024
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212615
• 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

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...