English

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

Classical Analysis and ODEs 2011-10-11 v4 Commutative Algebra Algebraic Geometry

Abstract

We completely classify all of rational solutions of the Noumi and Yamada system of type A5(1)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.

Keywords

Cite

@article{arxiv.0708.2960,
  title  = {Rational Solutions of the Noumi and Yamada System of type $A_5^{(1)}$},
  author = {Kazuhide Matsuda},
  journal= {arXiv preprint arXiv:0708.2960},
  year   = {2011}
}

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75 pages