AC=BD在微分方程中的应用

Applications of AC=BD in Differential Equations

利用AC =BD的思想 ,将变系数广义KdV方程约化成常微分方程 ,求出了KdV方程的Lax对。

In this paper the variant coefficient generalized KdV equations are reduced to odinary differential equations by the use of AC=BD.The Lax pair of KdV equations is also obtained.