تقرير
Multidimensional Nonhomogeneous Quasi-Linear Systems and Their Hamiltonian Structure
| العنوان: | Multidimensional Nonhomogeneous Quasi-Linear Systems and Their Hamiltonian Structure |
|---|---|
| المؤلفون: | Hu, Xin, Casati, Matteo |
| المصدر: | SIGMA 20 (2024), 081, 17 pages |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics Mathematical Physics Nonlinear Sciences |
| مصطلحات موضوعية: | Nonlinear Sciences - Exactly Solvable and Integrable Systems, Mathematical Physics, 37K10, 37K25 |
| الوصف: | 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-components systems of hydrodynamic type and of a real reduction of the 3-waves system. |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.3842/SIGMA.2024.081 |
| URL الوصول: | http://arxiv.org/abs/2401.10445 |
| رقم الأكسشن: | edsarx.2401.10445 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.3842/SIGMA.2024.081 |
|---|