Coupled Painlevé VI system withE(1)6-symmetry
نویسندگان
چکیده
منابع مشابه
Coupled Painlevé Vi Systems in Dimension Four with Affine Weyl Group Symmetry of Type D
We give a reformulation of a six-parameter family of coupled Painlevé VI systems with affine Weyl group symmetry of type D (1) 6 . We also study some Hamiltonian structures of this system. 0. Introduction In [4], we proposed a 6-parameter family of four-dimensional coupled Painlevé VI systems with affine Weyl group symmetry of type D (1) 6 . This system can be considered as a genelarization of ...
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We present an new system of ordinary differential equations with affine Weyl group symmetry of type E (1) 6 . This system is expressed as a Hamiltonian system of sixth order with a coupled Painlevé VI Hamiltonian. 2000 Mathematics Subject Classification: 34M55, 17B80, 37K10. Introduction The Painlevé equations PJ (J = I, . . . ,VI) are ordinary differential equations of second order. It is know...
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We find and study four kinds of 6-parameter family of coupled Painlevé VI systems with affine Weyl group symmetry of types B (1) 6 , D (1) 6 and D (2) 7 . We also give an explicit description of a confluence to the Noumi-Yamada system of type A (1) 5 . 0. Introduction In 1912, considering the significant problem of searching for higher order analogues of the Painlevé equations, Garnier discover...
متن کاملPainlevé Vi Systems in Dimension Four with Affine Weyl Group Symmetry of Type D
We give a reformulation of a six-parameter family of coupled Painlevé VI systems with affine Weyl group symmetry of type D (1) 6 from the viewpoint of its symmetry and holomorphy properties. In [9, 10], we proposed a 6-parameter family of four-dimensional coupled Painlevé VI systems with affine Weyl group symmetry of type D (1) 6. This system can be considered as a genelarization of the Painlev...
متن کاملPainlevé VI , Rigid Tops and Reflection Equation
We show that the Painlevé VI equation has an equivalent form of the non-autonomous Zhukovsky-Volterra gyrostat. This system is a generalization of the Euler top in C 3 and include the additional constant gyrostat momentum. The quantization of its autonomous version is achieved by the reflection equation. The corresponding quadratic algebra generalizes the Sklyanin algebra. As by product we defi...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2009
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/42/14/145205