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math-ph2007★ 2 cited
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…
math-ph2007
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…