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arXiv · 0807.1474

Coupled Hamiltonian systems with extended affine Weyl group symmetry of type $D_3^{(2)}$

Yusuke Sasano
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Abstract

We find a two-parameter family of ordinary differential systems in dimension five with the affine Weyl group symmetry of type $D_3^{(2)}$. We show its symmetry and holomorphy conditions. This is the second example which gave higher order Painlevé type systems of type $D_{3}^{(2)}$. By obtaining its first integrals of polynomial type, we can obtain a two-parameter family of coupled Hamiltonian systems in dimension four with the polynomial Hamiltonian.

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Yusuke Sasano. 2009-11-15. Coupled Hamiltonian systems with extended affine Weyl group symmetry of type $D_3^{(2)}$. https://arxiv.org/abs/0807.1474

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