摘要
对于与二阶多项式等谱问题相联系的方程簇的Painlevé分析,文章利用Weiss、Tabor及Carnevale(简称WTC)等人的方法对方程簇进行Painlevé分析。对m=2、n≥2时的方程簇进行Painlevé分析,给出了递推关系式,从中可得它的所有分支和共振点,给出了可积方程具有Painlevé性质的一个例证。
The Painlevé analysis of partial differential equations is made with the methods developed by Weiss,Tabor and Carnevale(WTC) so as to provide a unified approach to the integrable equation hierarchy. As m=2,n≥2,the Painlevé analysis of the equation hierarchy is carried out, and the resonances for all solution branches are obtained. An example of the integrable equation with Painlevé property is given.
出处
《合肥工业大学学报（自然科学版）》
CAS
CSCD
2003年第5期1083-1086,共4页
Journal of Hefei University of Technology：Natural Science
