Rational solutions of the Sasano systems of types B₄⁽¹⁾, D₄⁽¹⁾ and D₅⁽²⁾

الأصل · EN

We classify the rational solutions of the Sasano systems of types B₄⁽¹⁾, D₄⁽¹⁾ and D₅⁽²⁾, which are all given by the coupled P III systems and have the affine Weyl group symmetries of types B₄⁽¹⁾, D₄⁽¹⁾ and D₅⁽²⁾. The rational solutions are classified as one type by the Bäcklund transformation groups.