广义x-Kdv方程的Painleve性质<英>

THE PAINLEVE PROPERTY FOR GENERALIZED X-KDV EQUATION

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.