An integrable family of Poisson systems: Characterization and global analysis
Mathematical Physics
2019-11-22 v1 Analysis of PDEs
math.MP
Symplectic Geometry
Exactly Solvable and Integrable Systems
Classical Physics
Abstract
A family of solutions of the Jacobi PDEs is investigated. This family is -dimensional, of arbitrary nonlinearity and can be globally analyzed (thus improving the usual local scope of Darboux theorem). As an outcome of this analysis it is demonstrated that such Poisson structures lead to integrable systems. The solution family embraces as particular cases different systems of applied interest that are also regarded as examples.
Cite
@article{arxiv.1910.07917,
title = {An integrable family of Poisson systems: Characterization and global analysis},
author = {Benito Hernández-Bermejo},
journal= {arXiv preprint arXiv:1910.07917},
year = {2019}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1910.06765, arXiv:1910.05141