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Soliton self-frequency shifts (SSFS) can be suppressed in optical fibersthrough spectral recoil, but this process leads to losses through continuoustransfer of energy to a dispersive wave. We demonstrate a novel way to alterthe strength of SSFS in photonic crystal fibers through a frequency-dependentnonlinear parameter $\gamma(\omega)$. Our numerical simulations show bothsuppression and enhancement of SSFS depending on the sign of nonlinear slope. Alarge enough positive value of this slope can lead to total suppression ofSSFS, without spectral recoil and without energy transfer to a resonantdispersive wave. Numerical simulations are supported by mathematicalpredictions based on the moment method.

Lossless Suppression and Enhancement of Soliton Self-Frequency Shifts