High dimensional Schwarzian derivatives and Painlevé integrable models

Details High dimensional Schwarzian derivatives and Painlevé integrable models High dimensional Schwarzian derivatives and Painlevé integrable models

2001-08-24

arxiv.org/abs/nlin/0108046v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

9 pages, 0 figers, LaTeX form

Scientific paper

Because of all the known integrable models possess Schwarzian forms with M\"obious transformation invariance, it may be one of the best way to find new integrable models starting from some suitable M\"obious transformation invariant equations. In this paper, the truncated Painlev\'e analysis is used to find high dimensional Schwarzian derivatives. Especially, a three dimensional Schwarzian derivative is obtained explicitly. The higher dimensional higher order Schwarzian derivatives which are invariant under the M\"obious transformations may be expressed by means of the lower dimensional lower order ones. All the known Schwarzian derivatives can be used to construct high dimensional Painlev\'e integrable models.

Affiliated with

Also associated with

No associations

Rating

High dimensional Schwarzian derivatives and Painlevé integrable models 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 High dimensional Schwarzian derivatives and Painlevé integrable models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and High dimensional Schwarzian derivatives and Painlevé integrable models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-200536