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The relationship between carrier envelope phase (CEP) slip of cavity soliton(CS) and pump phase detuning is derived analytically and numerically. Topreserve the stability of CS, CEP slip always equals to the pump phasedetuning. When CEP slip fails to follow the pump phase detuning, CS becomesunstable. The locking between CEP slip and pump phase detuning results in ascaling law for CS.

Carrier envelope phase dynamics of cavity solitons: soliton stability and scaling law