. A G ] 1 2 M ay 2 00 8 Symmetry and holomorphy of the third - order ordinary differential equation satisfied by the third Painlevé Hamiltonian
نویسنده
چکیده
We study symmetry and holomorphy of the third-order ordinary differential equation satisfied by the third Painlevé Hamiltonian.
منابع مشابه
A pr 2 00 8 Symmetry and holomorphy of the third - order ordinary differential equation defined by the third
We study symmetry and holomorphy of the third-order ordinary differential equation defined by the third Painlevé Hamiltonian.
متن کاملar X iv : 0 80 5 . 24 44 v 1 [ m at h . A G ] 1 6 M ay 2 00 8 Symmetry and holomorphy of the second member of the second Painlevé hierarchy
We study symmetry and holomorphy of the second member of the second Painlevé hierarchy P (2) II .
متن کاملar X iv : m at h - ph / 0 70 10 41 v 2 1 9 A pr 2 00 7 Coupled Painlevé VI system with E ( 1 ) 6 - symmetry
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. Introduction The Painlevé equations PJ (J = I, . . . ,VI) are ordinary differential equations of second order. It is known that these PJ admit the following affine Weyl group symmetri...
متن کاملar X iv : m at h - ph / 0 70 10 41 v 1 1 3 Ja n 20 07 Coupled Painlevé VI system with E ( 1 ) 6 - symmetry
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...
متن کاملSymmetry group, Hamiltonian equations and conservation laws of general three-dimensional anisotropic non-linear sourceless heat transfer equation
In this paper Lie point symmetries, Hamiltonian equations and conservation laws of general three-dimensional anisotropic non-linear sourceless heat transfer equation are investigated. First of all Lie symmetries are obtained by using the general method based on invariance condition of a system of differential equations under a prolonged vector field. Then the structure of symmetry ...
متن کامل