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arXiv:1910.06765 (math-ph)
[Submitted on 13 Oct 2019 ]

Title: Characterization, global analysis and integrability of a family of Poisson structures

Title: 泊松结构族的表征、全局分析和可积性

Authors:Benito Hernández-Bermejo
Abstract: An n-dimensional solution family of the Jacobi equations is characterized and investigated, including the global determination of its main features: the Casimir invariants, the construction of the Darboux canonical form and the proof of integrability for the related Poisson systems. Examples are given and include novel Poisson formulations.
Abstract: 一个n维的雅可比方程解族被表征和研究,包括其主要特征的全局确定:卡西米尔不变量,达布标准型的构造以及相关泊松系统的可积性证明。给出了示例,并包括新的泊松表述。
Comments: arXiv admin note: text overlap with arXiv:1910.05141
Subjects: Mathematical Physics (math-ph) ; Analysis of PDEs (math.AP); Symplectic Geometry (math.SG); Exactly Solvable and Integrable Systems (nlin.SI); Classical Physics (physics.class-ph)
Cite as: arXiv:1910.06765 [math-ph]
  (or arXiv:1910.06765v1 [math-ph] for this version)
  https://doi.org/10.48550/arXiv.1910.06765
arXiv-issued DOI via DataCite
Journal reference: Physics Letters A 372(7), 1009-1017 (2008)
Related DOI: https://doi.org/10.1016/j.physleta.2007.08.052
DOI(s) linking to related resources

Submission history

From: Benito Hernández-Bermejo [view email]
[v1] Sun, 13 Oct 2019 19:52:38 UTC (12 KB)
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