A class of differential equations of PI-type with the quasi-Painlevé property

Shun Shimomura

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We present a certain class of second order nonlinear differential equations containing the first Painlevé equation (PI). Each equation in it admits the quasi-Painlevé property, namely every movable singularity of a general solution is at most an algebraic branch point. For these equations we show some basic properties.

Original languageEnglish
Pages (from-to)267-280
Number of pages14
JournalAnnali di Matematica Pura ed Applicata
Volume186
Issue number2
DOIs
Publication statusPublished - 2007 Apr 1

Keywords

  • Hyperelliptic integral
  • Nonlinear differential equation
  • Painlevé equation
  • Quasi-Painlevé property

ASJC Scopus subject areas

  • Applied Mathematics

Fingerprint Dive into the research topics of 'A class of differential equations of PI-type with the quasi-Painlevé property'. Together they form a unique fingerprint.

  • Cite this