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With the aid of symbolic computation system Maple, several new kinds of generalized exact solutions for the variable coefficient combined KdV equation and Chaffee-Infante equation with forced term are obtained by using a new generalize Riccati equation rational expansion method. This approach can also be applied to other variable coefficient nonlinear evolution equations.

New Exact Solutions of Rational Expansion Method for the Variable Coefficient Nonlinear Equation with Forced Term