NEW B?CKLUND TRANSFORMATION AND EXACT SOLUTIONS FOR VARIABLE COEFFICIENT KdV EQUATION

In this paper, with the aid of Lax pairs, a new B\ddot\rm acklund transformation for the variable coefficient KdV equation is found, Based on the B\ddot\rm acklund transformation, only if integration is needed, a series of exact solutions can be obtained. This method is important for finding more new and physical-signficant solutions.