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Atlantis Press, Journal of Nonlinear Mathematical Physics, Supplement(8), p. 195, 2001

DOI: 10.2991/jnmp.2001.8.supplement.34

Atlantis Press, Journal of Nonlinear Mathematical Physics, Supplement(8), p. 195, 2001

DOI: 10.2991/jnmp.2001.8.s.34

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A New Class of Integrable Newton Systems

Journal article published in 2001 by Hans Lundmark ORCID
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

We present a new class of integrable Newton systems in R n . They are characterized by the existence of two quadratic integrals of motion of the 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.