Rational solutions of the Sasano systems of types $B_4^{(1)},$ $D_4^{(1)}$ and $D_5^{(2)}$

Details Rational solutions of the Sasano systems of types $B_4^{(1)},$ $D_4^{(1)}$ and $D_5^{(2)}$ Rational solutions of the Sasano systems of types $B_4^{(1)},$ $D_4^{(1)}$ and $D_5^{(2)}$

2010-08-23

arxiv.org/abs/1008.3735v2

Mathematics

Classical Analysis and ODEs

arXiv admin note: substantial text overlap with arXiv:1103.4906

Scientific paper

We classify the rational solutions of the Sasano systems of types
$B_4^{(1)},$ $D_4^{(1)}$ and $D_5^{(2)},$ which are all given by the coupled
$P_{\rm III}$ systems and have the affine Weyl group symmetries of types
$B_4^{(1)},$ $D_4^{(1)}$ and $D_5^{(2)}.$ The rational solutions are classified
as one type by the B\"acklund transformation groups.

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