Title

An application of the Kowalewski Conditions

Author First name, Last name, Institution

Nicola Sottocornola, Zayed University

ORCID Identifiers

0000-0002-1372-4759

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

ISSN

1664-2368

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

85100811736

Indexed in Scopus

yes

Open Access

no

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