Abstract
In this Letter, a new mapping method is proposed for constructing more exact solutions of nonlinear partial differential equations. With the aid of symbolic computation, we choose the ( 2 + 1 ) -dimensional Konopelchenko–Dubrovsky equation and the ( 2 + 1 ) -dimensional KdV equations to illustrate the validity and advantages of the method. As a result, many new and more general exact solutions are obtained.
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