Abstract In this paper, with the aid of Lax pairs, a new B$\ddot{\rm a}$cklund transformation for the variable coefficient KdV equation is found, Based on the B$\ddot{\rm a}$cklund 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.
Received: 08 April 1999
Accepted manuscript online:
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