English

Rational solutions of the Noumi and Yamada system of type $A_4^{(1)}$

Classical Analysis and ODEs 2012-02-10 v4

Abstract

In this paper, we completely classify the raional solutions of the Noumi and Yamada system of type A_4^{(1)}, which is a generalization of the forth Painlev\'e equation. The rational solutions are classified to three types by the B\"acklund transformation group.

Keywords

Cite

@article{arxiv.0708.0074,
  title  = {Rational solutions of the Noumi and Yamada system of type $A_4^{(1)}$},
  author = {Kazuhide Matsuda},
  journal= {arXiv preprint arXiv:0708.0074},
  year   = {2012}
}

Comments

46 pages, 2 tables; http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.pja/1117805147