广义x-Kdv方程的Painleve性质<英>  

THE PAINLEVE PROPERTY FOR GENERALIZED X-KDV EQUATION

作　　者：刘春平 张保才 李忠定 

出　　处：《江苏师范大学学报（自然科学版）》1993年第3期7-11,共5页Journal of Jiangsu Normal University：Natural Science Edition

摘　　要：通过对方程(2.1)使用Painleve分析,得到(2.1)具有Painleve性质的一个充要条件,并得到相应情形的Backlund变换和Lax表示,最后讨论了与之相应的Schwarfzian导数。In this paper,we obtain a necessary and sufficient condition of Eq. (2. 1) to possess the Painleve property by Painleve analysis for Eq. (2. 1). Also, we get Backlund transform and Lax expression for a special case,and discuss the Schwarzian derivative responsibly with it.

关 键 词：PAINLEVE性质 共振 Schwarfzian导数 

分 类 号：N55[自然科学总论]