An application of the Kowalewski Conditions
ORCID Identifiers
Document Type
Article
Source of Publication
Analysis and Mathematical Physics
Publication Date
6-1-2021
Abstract
© 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG part of Springer Nature. There are three cubic Hénon-Heiles systems which are integrable in the Liouville sense. In this paper we focus our attention on one of them, the so called Kaup-Kupershmidt (KK) system. Under the restricting condition c= 0 , the equations of movement of this system can be separated and integrated using coordinates originally discovered by Ravoson, Gabrilov and Caboz. In this paper we show that the adoption of a different point of view provides a natural generalization of these coordinates and separate the generic case
DOI Link
ISSN
Publisher
Springer Science and Business Media LLC
Volume
11
Issue
2
Disciplines
Physical Sciences and Mathematics
Keywords
Hénon-Heiles systems, Integrable systems, Separation of coordinates
Scopus ID
Recommended Citation
Sottocornola, Nicola, "An application of the Kowalewski Conditions" (2021). All Works. 4046.
https://zuscholars.zu.ac.ae/works/4046
Indexed in Scopus
yes
Open Access
no