دورية أكاديمية
A Family of Integrable Differential-Difference Equations: Tri-Hamiltonian Structure and Lie Algebra of Vector Fields
| العنوان: | A Family of Integrable Differential-Difference Equations: Tri-Hamiltonian Structure and Lie Algebra of Vector Fields |
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| المؤلفون: | Ning Zhang, Xi-Xiang Xu |
| المصدر: | Discrete Dynamics in Nature and Society, Vol 2021 (2021) |
| بيانات النشر: | Hindawi Limited, 2021. |
| سنة النشر: | 2021 |
| المجموعة: | LCC:Mathematics |
| مصطلحات موضوعية: | Mathematics, QA1-939 |
| الوصف: | Starting from a novel discrete spectral problem, a family of integrable differential-difference equations is derived through discrete zero curvature equation. And then, tri-Hamiltonian structure of the whole family is established by the discrete trace identity. It is shown that the obtained family is Liouville-integrable. Next, a nonisospectral integrable family associated with the discrete spectral problem is constructed through nonisospectral discrete zero curvature representation. Finally, Lie algebra of isospectral and nonisospectral vector fields is deduced. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 1026-0226 1607-887X |
| Relation: | https://doaj.org/toc/1026-0226; https://doaj.org/toc/1607-887X |
| DOI: | 10.1155/2021/9912387 |
| URL الوصول: | https://doaj.org/article/3457402aaa2a46a3bcb519dd69577ef7 |
| رقم الأكسشن: | edsdoj.3457402aaa2a46a3bcb519dd69577ef7 |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 10260226 1607887X |
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| DOI: | 10.1155/2021/9912387 |