A new class of integrable Newton systems

Authors
Lundmark, H
Citation
H. Lundmark, A new class of integrable Newton systems, J NONL M PH, 8, 2001, pp. 195-199
Citations number
9
Categorie Soggetti
Physics
Journal title
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
ISSN journal
14029251 → ACNP
Volume
8
Year of publication
2001
Supplement
S
Pages
195 - 199
Database
ISI
SICI code
1402-9251(200102)8:<195:ANCOIN>2.0.ZU;2-E
Abstract
A new class of integrable Newton systems in R-n is presented. They are char acterized by the existence of two quadratic integrals of motion of so-calle d cofactor type, and are therefore called cofactor pair systems. This class includes as special cases conservative systems separable in elliptic or pa rabolic coordinates, as well as many Newton systems previously derived as r eductions of soliton hierarchies.