PainlevéAnalysis of Higher Order Nonlinear Evolution Equations with Variable Coefficients  

高阶变系数非线性发展方程的Painlevé分析

作　　者：Wang Yuan 王媛(Fundamental Education Department,Shanxi Institute of Energy,Jinzhong 030600,China)

机构地区：[1]Fundamental Education Department,Shanxi Institute of Energy,Jinzhong 030600,China

出　　处：《Chinese Quarterly Journal of Mathematics》2021年第2期196-203,共8页数学季刊（英文版）

基　　金：Supported by the Shanxi Education Department Project(Grant No.J2020398);Key Natural Science Projects of Shanxi Energy Institute(Grant No.ZZ-2018003)。

摘　　要：There is a close relationship between the Painlevéintegrability and other integrability of nonlinear evolution equation.By using the Weiss-Tabor-Carnevale(WTC)method and the symbolic computation of Maple,the Painlevétest is used for the higher order generalized non-autonomous equation and the third order Korteweg-de Vries equation with variable coefficients.Finally the Painlevéintegrability condition of this equation is gotten.

关 键 词：Higher order generalized non-autonomous equation Third order Korteweg-de Vries equation with variable coefficients Painlevéanalysis method 

分 类 号：O175.29[理学—数学]