<p>In this study, the transmission of Super-Gaussian optical pulses through a one-dimensional photonic crystal containing two defect layers based on Weyl semimetal was investigated using the transfer matrix method and Fourier transform analysis. By leveraging the non-reciprocal enhancement provided by the Weyl semimetal and considering the spectral broadening of Super-Gaussian pulses compared to Gaussian pulses, transmitted energy, average pulse duration, and time delay were examined as key metrics for pulse transmission. The results demonstrate a significant dependence of these metrics on the pulse type and the direction of propagation incident on the structure. A comparative analysis with the transmission of Gaussian pulses highlights notable differences in the non-reciprocal behavior and transmission efficiency of Super-Gaussian pulses in the presence of topological defects, underscoring the crucial role of pulse shape in regulating direction-dependent light transmission in photonic architectures.</p>