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We show, by numerically solving the extended nonlinear Schrodinger equation, that a notable efficient conversion of energy from the soliton to the dispersive waves (DWs) can be acquired in photonic crystal fibers with negative dispersion slopes, and the conversion efficiency can be manipulated by initial frequency chirp of the input soliton. For the higher order solitons, the positive chirp can speed up the DWs generation while the negative chirp will slow it down. For the fundamental solitons, however, both the positive and negative frequency chirps slow down the DWs generation. Further, we find that, for both fundamental and higher order solitons, the efficiency of energy transfer is decreased due to the eigenvalues which represent the ultimate soliton amplitudes are reduced for both positive and negative chirps, but this can be easily overcome by simply adding the fiber length.