A New Class of Integrable Newton Systems

DOI

10.2991/jnmp.2001.8.s.34How to use a DOI?

Abstract

A new class of integrable Newton systems in Rn is presented. They are characterized by the existence of two quadratic integrals of motion of so-called cofactor type, and are therefore called cofactor pair systems. This class includes as special cases conservative systems separable in elliptic or parabolic coordinates, as well as many Newton systems previously derived as reductions of soliton hierarchies.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Hans Lundmark
PY  - 2001
DA  - 2001/02/01
TI  - A New Class of Integrable Newton Systems
JO  - Journal of Nonlinear Mathematical Physics
SP  - 195
EP  - 199
VL  - 8
IS  - Supplement
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2001.8.s.34
DO  - 10.2991/jnmp.2001.8.s.34
ID  - Lundmark2001
ER  -