The auxiliary equation method is very useful for finding the exact solutions of the nonlinear evolution equations. In this paper, a new idea of finding the exact solutions of the nonlinear evolution equations is introduced. The idea is that the exact solutions of the auxiliary elliptic-like equation are derived using exp-function method, and then the exact solutions of the nonlinear evolution equations are derived with the aid of auxiliary elliptic-like equation. As examples, the RKL models, the high-order nonlinear Schr??dinger equation, the Hamilton amplitude equation, the generalized Hirotaa€“Satsuma coupled KdV system and the generalized ZKa€“BBM equation are investigated and the exact solutions are presented using this method.
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