Characteristic Manifold and Painlevé Integrability: Fifth-Order Schwarzian Korteweg-de Vries Type Equation

• 来源期刊: 中国物理快报（英文版）
• 学科: 物理学
• 年，卷（期）: 2002,（9）
• 页码范围: 1225-1227
• 页数: 3页
• 分类号: O4
• 语种: 英文

摘要

The single valued behaviour of the characteristic manifold is seldom considered when analysing the Painlevé property of a partial differential equation. Considering this, we take a simple example-the generalized fifth-order Schwarzian Korteweg-de Vries equation-to emphasize the usefulness of including the analysis of the single valued properties of the characteristic manifold in the Pianlevé test. The result shows that some types of Schwarzian equations may not be Painlevé integrable, though many of them may be.