Poisson maps and integrable deformations of Kowalevski top

Details Poisson maps and integrable deformations of Kowalevski top Poisson maps and integrable deformations of Kowalevski top

2003-04-16

arxiv.org/abs/nlin/0304033v1

J.Phys. A36 (2003) 8035-8048

Nonlinear Sciences

Exactly Solvable and Integrable Systems

19 pages, Latex with AMS fonts

Scientific paper

10.1088/0305-4470/36/29/309

We construct a Poisson map between manifolds with linear Poisson brackets corresponding to the Lie algebras $e(3)$ and $so(4)$. Using this map we establish a connection between the deformed Kowalevski top on $e(3)$ proposed by Sokolov and the Kowalevski top on $so(4)$. The connection between these systems leads to the separation of variables for the deformed system on $e(3)$ and yields the natural $5\times 5$ Lax pair for the Kowalevski top on $so(4)$.

Affiliated with

Also associated with

No associations

Rating

Poisson maps and integrable deformations of Kowalevski top does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Poisson maps and integrable deformations of Kowalevski top, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Poisson maps and integrable deformations of Kowalevski top will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-608537