Light fields with partial spatial coherence are renowned for their remarkable self-reconstruction properties, which have enabled a wide range of applications, including optical imaging and particle trapping. In this paper, we extend the self-reconstruction concept to temporal-domain partially coherent pulses and investigate their reconstruction characteristics in nonlinear Kerr media. As an illustrative example, we employ a cosine-Gaussian correlated Schell-model pulse to conduct in-depth analyses. Our numerical results reveal that the obstructed pulses, with the help of the source degree of coherence, exhibit outstanding self-reconstruction properties in the nonlinear Kerr media. Although the nonlinearity can to some extent impair the self-reconstruction ability of pulses, ultrastrong self-reconstruction of the pulses can be achieved by reducing the optical coherence. Our research findings may have potential applications in image transmission and optical information processing.

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• Classical optics
• Nonlinear optics
• Optical coherence