Temporal cavity solitons (CSs), recognized for their exceptional stability and controllability, hold great promise as information carriers in all-optical storage and processing systems. Pulsed driving serves as an effective strategy to boost the pump-to-soliton conversion efficiency and optimize CS performance. Nevertheless, this approach introduces amplitude inhomogeneities into the cavity, which induce drift of the CSs. Previous studies have revealed that such drift exhibits a nontrivial dependence on both detuning and driving amplitude. Despite these insights, the temporal control and manipulation of CSs under varying driving pulse widths remain largely unexplored. In this work, we investigate the dynamics of temporal CSs in a fiber Kerr resonator subject to pulsed driving with a tunable pulse width. By utilizing the pump pulse width as a degree of freedom, we achieve a significant decoupling between soliton timing and its peak power—a persistent challenge in traditional intensity-based modulation—thereby enabling precise temporal control. Using a dissipative Lagrangian variational framework, we elucidate the mechanism that governs the equilibrium position in the pulse-width modulation regime and theoretically derive an analytical relationship between the driving pulse width and the stabilized soliton position. Numerical simulations using the Ikeda map confirm that, under constant-amplitude driving, the trapping position scales linearly with the pulse width, in excellent agreement with our theoretical predictions. Moreover, we systematically map the existence regime and equilibrium positions of CSs across varying pulse widths and driving amplitudes, and demonstrate temporal tweezing of two independent CSs. This methodology establishes a pathway for multidimensional control and manipulation of temporal CSs in Kerr resonators.

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• Solitons