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: | Xi-Xiang Xu, Ning Zhang |
| المصدر: | Discrete Dynamics in Nature and Society, Vol 2021 (2021) |
| بيانات النشر: | Hindawi Limited, 2021. |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | Pure mathematics, Article Subject, Integrable system, Structure (category theory), Zero (complex analysis), Trace identity, Curvature, Nonlinear Sciences::Exactly Solvable and Integrable Systems, Isospectral, Modeling and Simulation, Lie algebra, QA1-939, Vector field, Mathematics |
| 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. |
| وصف الملف: | text/xhtml |
| تدمد: | 1607-887X 1026-0226 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::90fb62c7cbe9180478535f1ef080f539 https://doi.org/10.1155/2021/9912387 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....90fb62c7cbe9180478535f1ef080f539 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 1607887X 10260226 |
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