High-dimensional schwarzian derivatives and painlevé integrable models

Shun Li Zhang; Xiao Yan Tang; Sen Yue Lou

doi:10.1088/0253-6102/38/5/513

High-dimensional schwarzian derivatives and painlevé integrable models

Shun Li Zhang^*
, Xiao Yan Tang
, Sen Yue Lou

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Because all the known integrable models possess Schwarzian forms with Möbious transformation invariance, it may be one of the best ways to find new integrable models starting from some suitable Möbious transformation invariant equations. In this paper, we study the Painlevé integrability of some special (3+1)-dimensional Schwarzian models.

Original language	English
Pages (from-to)	513-516
Number of pages	4
Journal	Communications in Theoretical Physics
Volume	38
Issue number	5
DOIs	https://doi.org/10.1088/0253-6102/38/5/513
State	Published - 15 Nov 2002
Externally published	Yes

Keywords

High-dimensional integrable models
Möbious invariance
Schwarzian derivatives

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10.1088/0253-6102/38/5/513

Cite this

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title = "High-dimensional schwarzian derivatives and painlev{\'e} integrable models",

abstract = "Because all the known integrable models possess Schwarzian forms with M{\"o}bious transformation invariance, it may be one of the best ways to find new integrable models starting from some suitable M{\"o}bious transformation invariant equations. In this paper, we study the Painlev{\'e} integrability of some special (3+1)-dimensional Schwarzian models.",

keywords = "High-dimensional integrable models, M{\"o}bious invariance, Schwarzian derivatives",

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T1 - High-dimensional schwarzian derivatives and painlevé integrable models

AU - Zhang, Shun Li

AU - Tang, Xiao Yan

AU - Lou, Sen Yue

PY - 2002/11/15

Y1 - 2002/11/15

N2 - Because all the known integrable models possess Schwarzian forms with Möbious transformation invariance, it may be one of the best ways to find new integrable models starting from some suitable Möbious transformation invariant equations. In this paper, we study the Painlevé integrability of some special (3+1)-dimensional Schwarzian models.

AB - Because all the known integrable models possess Schwarzian forms with Möbious transformation invariance, it may be one of the best ways to find new integrable models starting from some suitable Möbious transformation invariant equations. In this paper, we study the Painlevé integrability of some special (3+1)-dimensional Schwarzian models.

KW - High-dimensional integrable models

KW - Möbious invariance

KW - Schwarzian derivatives

UR - https://www.scopus.com/pages/publications/0036882938

U2 - 10.1088/0253-6102/38/5/513

DO - 10.1088/0253-6102/38/5/513

M3 - 文章

AN - SCOPUS:0036882938

SN - 0253-6102

VL - 38

SP - 513

EP - 516

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

IS - 5

ER -

High-dimensional schwarzian derivatives and painlevé integrable models

Abstract

Keywords

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