Variable Separation and Derivative-Dependent Functional Separable Solutions to Generalized KdV Equations**The project supported by National Natural Science Foundation of China under Grant No. 90203001, National Outstanding Youth Foundation of China under Grant No. 19925522, and the Research Fund for the Doctoral Program of Higher Education of China under Grant No. 2000024832

Abstract

Using the generalized conditional symmetry approach, a complete list of canonical forms for the Korteweg de-Vries type equations with which possessing derivative-dependent functional separable solutions (DDFSSs) is obtained. The exact DDFSSs of the resulting equations are explicitly exhibited.