Geometric properties of the Riemann surfaces associated with the Noumi-Yamada systems with a large parameter

Takashi Aoki; Naofumi Honda

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Geometric properties of the Riemann surfaces associated with the Noumi-Yamada systems with a large parameter

机译：具有大参数的Noumi-Yamada系统相关的Riemann曲面的几何性质

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摘要

The system of algebraic equations for the leading terms of formal solutions to the Noumi-Yamada systems with a large parameter is studied. A formula which gives the number of solutions outside of turning points is established. The number of turning points of the first kind is also given.

机译：研究了具有大参数的Noumi-Yamada系统形式解的主导项的代数方程组。建立了给出转折点之外的解数的公式。还给出了第一种转折点的数量。

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来源
《Journal of the Mathematical Society of Japan》 |2011年第4期|p.1085-1119|共35页
作者
Takashi Aoki; Naofumi Honda;
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作者单位

Department of Mathematics Kinki University Higashi-Osaka 577-8502, Japan;

Department of Mathematics Kinki University Higashi-Osaka 577-8502, Japan;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词
noumi-yamada systems; painleve hierarchy; formal solutions;

机译：Noumi-yamada系统;痛苦的等级制度;正式解决方案;

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Geometric properties of the Riemann surfaces associated with the Noumi-Yamada systems with a large parameter

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