修正Jaulent-Miodek方程组的Painlevé分析及其精确解  

The Painlevé Analysis and B?cklund Transformation for the Modified Jaulent-Miodek Equation

作　　者：陈南[1] 

机构地区：[1]华侨大学厦门工学院,福建厦门361021

出　　处：《厦门理工学院学报》2014年第3期109-112,共4页Journal of Xiamen University of Technology

摘　　要：利用Painlevé分析的方法,对修正Jaulent-Miodek方程进行奇异流形展开.利用调谐因子项将其进行有限项"截断",证明其具有Painlevé可积性,导出其自B?cklund变换和奇异流形满足的Schwarz导数方程.通过研究相关的Schwarz导数方程的性质,求出广义Lorenz系统的精确解.In this paper we consider the modified Jaulent-Miodek equation. It is studied by the means of the Painleve analysis. The integrability is proved, and the B？cklund transformation of the system is obtained. Some exact solutions of the system are obtained by solving Schwarz derivative equation.

关 键 词：修正Jaulent—Miodek方程 PAINLEVE分析 调谐因子 BACKLUND变换 SCHWARZ导数 

分 类 号：O175[理学—数学]