تقرير
Bi-Hamiltonian structures of KdV type, cyclic Frobenius algebrae and Monge metrics
| العنوان: | Bi-Hamiltonian structures of KdV type, cyclic Frobenius algebrae and Monge metrics |
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| المؤلفون: | Lorenzoni, P., Vitolo, R. |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, Primary 37K10 secondary 37K20, 37K25 |
| الوصف: | We study algebraic and projective geometric properties of Hamiltonian trios determined by a constant coefficient second-order operator and two first-order localizable operators of Ferapontov type. We show that first-order operators are determined by Monge metrics, and define a structure of cyclic Frobenius algebra. Examples include the AKNS system, a $2$-component generalization of Camassa-Holm equation and the Kaup--Broer system. In dimension $2$ the trio is completely determined by two conics of rank at least $2$. We provide a partial classification in dimension $4$. Comment: 24 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2311.13932 |
| رقم الأكسشن: | edsarx.2311.13932 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |