Drinfeld-Sokolov hierarchies of type A and fourth order Painleve systems (2009)
We study the Drinfeld-Sokolov hierarchies of type A_n^{(1)} associated with the regular conjugacy classes of W(A_n). A class of fourth order Painleve systems is derived from them by similarity...
A 型ドリンフェルト・ソコロフ階層の相似簡約とその退化構造 (2009)
鈴木, 貴雄, 藤, 健太, Suzuki, Takao, Fuji, Kenta
九州大学応用力学研究所研究集会報告 No.20ME-S7 「非線形波動の数理と物理」
Higher Order Painleve System of Type Arising from Integrable Hierarchy (2008)
A higher order Painlevé system of type $${D}_{2n+2}^{(1)}$$ was introduced by Y. Sasano. It is an extension of the sixth Painlevé equation (PVI) for the affine Weyl group symmetry. It is also...
Higher order Painleve system of type D^{(1)}_{2n+2} arising from integrable hierarchy (2007)
A higher order Painleve system of type D^{(1)}_{2n+2} was introduced by Y. Sasano. It is an extension of the sixth Painleve equation for the affine Weyl group symmetry. It is also expressed as a...
Coupled Painleve VI system with E_6^{(1)} symmetry (2007)
We present an new system of ordinary differential equations with affine Weyl group symmetry of type E_6^{(1)}. This system is expressed as a Hamiltonian system of sixth order with a coupled Painleve...
The sixth Painleve equation arising from Drinfel'd-Sokolov hierarchy (2006)
This paper has been withdrawn by the authors due to double submitting.
The sixth Painleve equation arising from D_4^{(1)} hierarchy (2006)
The sixth Painleve equation arises from a Drinfel'd-Sokolov hierarchy associated with the affine Lie algebra of type D_4 by similarity reduction.