Painlevé test for ordinary differential equations associated with the heat equation

被引：0

作者：

A. V. Vinogradov

机构：

[1] Moscow State University,Faculty of Mechanics and Mathematics

来源：

Proceedings of the Steklov Institute of Mathematics | 2014年 / 286卷

关键词：

Rational Function; General Solution; STEKLOV Institute; Heat Equation; Perturbation Method;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider nonlinear ordinary differential equations up to the sixth order that are associated with the heat equation. Each of them is subjected to the Painlevé analysis. For the fourth- and sixth-order equations we obtain a criterion for having the Painlevé property; for the fifth-order equation we formulate necessary conditions for passing the Painlevé test. We also present a fifth-order equation analogous to the Chazy-3 equation.

引用

页码：65 / 76

页数：11

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