Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5496995 | Physics Letters A | 2017 | 8 Pages |
Abstract
We formulate the necessary conditions for the integrability of a certain family of Hamiltonian systems defined in the constant curvature two-dimensional spaces. Proposed form of potential can be considered as a counterpart of a homogeneous potential in flat spaces. Thanks to this property Hamilton equations admit, in a general case, a particular solution. Using this solution we derive necessary integrability conditions investigating differential Galois group of variational equations.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Andrzej J. Maciejewski, Wojciech SzumiÅski, Maria Przybylska,