High dimensional Schwarzian derivatives and Painlevé integrable models

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dc.creatorLou, Sen-yue
dc.creatorZhang, Shun-li
dc.creatorTang, Xiao-yan
dc.date2001-08-24
dc.date.accessioned2026-07-07T05:33:40Z
dc.date.available2026-07-07T05:33:40Z
dc.descriptionBecause of all the known integrable models possess Schwarzian forms with Möbious transformation invariance, it may be one of the best way to find new integrable models starting from some suitable Möbious transformation invariant equations. In this paper, the truncated Painlevé 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 Möbious 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 Painlevé integrable models.
dc.description9 pages, 0 figers, LaTeX form
dc.identifierhttps://arxiv.org/abs/nlin/0108046
dc.identifierhttp://arxiv.org/abs/nlin/0108046
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80081
dc.subjectExactly Solvable and Integrable Systems
dc.subjectPattern Formation and Solitons
dc.titleHigh dimensional Schwarzian derivatives and Painlevé integrable models
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