Rational Solutions of the Noumi and Yamada System of type $A_5^{(1)}$

Details Rational Solutions of the Noumi and Yamada System of type $A_5^{(1)}$ Rational Solutions of the Noumi and Yamada System of type $A_5^{(1)}$

2007-08-22

arxiv.org/abs/0708.2960v4

Mathematics

Classical Analysis and ODEs

75 pages

Scientific paper

We completely classify all of rational solutions of the Noumi and Yamada
system of type $A_5^{(1)}$, which is a generalization of the fifth Painlev\'e
equation. The rational solutions are classified to five classes by the
B\"acklund transformation group.

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