Integrable Bi-Hamiltonian Systems by Jacobi Structure on Real Three-Dimensional Lie Groups

IF 1.4 4区物理与天体物理 Q2 MATHEMATICS, APPLIED

Journal of Nonlinear Mathematical Physics Pub Date : 2023-10-19 DOI:10.1007/s44198-023-00138-0

H. Amirzadeh-Fard, Gh. Haghighatdoost, A. Rezaei-Aghdam

引用次数: 0

Abstract

Abstract By Poissonization of Jacobi structures on real three-dimensional Lie groups $${\textbf{G}}$$ G and using the realizations of their Lie algebras, we obtain integrable bi-Hamiltonian systems on $${\textbf{G}} \otimes {\mathbb {R}}$$ G ⊗ R .

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实三维李群上Jacobi结构的可积双哈密顿系统

通过在三维李群$${\textbf{G}}$$ G上的Jacobi结构泊松化，利用它们的李代数实现，得到了$${\textbf{G}} \otimes {\mathbb {R}}$$ G⊗R上的可积双哈密顿系统。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Nonlinear Mathematical Physics PHYSICS, MATHEMATICAL-PHYSICS, MATHEMATICAL

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

3 months

期刊介绍： Journal of Nonlinear Mathematical Physics (JNMP) publishes research papers on fundamental mathematical and computational methods in mathematical physics in the form of Letters, Articles, and Review Articles. Journal of Nonlinear Mathematical Physics is a mathematical journal devoted to the publication of research papers concerned with the description, solution, and applications of nonlinear problems in physics and mathematics. The main subjects are: -Nonlinear Equations of Mathematical Physics- Quantum Algebras and Integrability- Discrete Integrable Systems and Discrete Geometry- Applications of Lie Group Theory and Lie Algebras- Non-Commutative Geometry- Super Geometry and Super Integrable System- Integrability and Nonintegrability, Painleve Analysis- Inverse Scattering Method- Geometry of Soliton Equations and Applications of Twistor Theory- Classical and Quantum Many Body Problems- Deformation and Geometric Quantization- Instanton, Monopoles and Gauge Theory- Differential Geometry and Mathematical Physics