9 citations · 17 across the 6 of their papers we have counts for
5 papers · 1 filter
Drinfeld-Sokolov hierarchies of type A and fourth order Painleve systems
Kenta Fuji, Takao Suzuki
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 b…
Higher order Painleve system of type D^{(1)}_{2n+2} arising from integrable hierarchy
Kenta Fuji, Takao Suzuki
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…
Coupled Painleve VI system with E_6^{(1)} symmetry
Kenta Fuji, Takao Suzuki
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…
The sixth Painleve equation arising from D_4^{(1)} hierarchy
Kenta Fuji, Takao Suzuki
The sixth Painleve equation arises from a Drinfel'd-Sokolov hierarchy associated with the affine Lie algebra of type D_4 by similarity reduction.
The sixth Painleve equation arising from Drinfel'd-Sokolov hierarchy
Kenta Fuji, Takao Suzuki
This paper has been withdrawn by the authors due to double submitting.