Temporal dynamics of truncated Airy pulses in optical waveguides under the Chen–Lee–Liu equation

We investigate the temporal dynamics of truncated Airy pulses (TAPs) propagating in optical waveguides governed by the Chen–Lee–Liu equation (CLLE), focusing on the interplay between the CLL nonlinearity, truncation, and initial chirp. Weakly truncated TAPs exhibit intrinsic parabolic self-acceleration, nonzero oscillatory drift, and enhanced resilience to dispersion compared to sech-type pulses. The CLL term ( α ) induces temporal asymmetry, amplifying the drift velocity, centroid displacement, and peak intensity, while the truncation parameter ( a ) and quadratic chirp ( C ) modulate these effects. Analytical expressions for the temporal drift, centroid, and pulse width are derived, capturing both the intrinsic Airy acceleration and the nonlinear CLL contribution. Our results provide a unified framework linking numerical simulations, phase-space maps, and physical interpretation, highlighting the robustness and tunability of TAPs for nonlinear photonic applications.