<p>This study presents an approach (including bifurcation and numerical analyses) for finding pulsating (breathing) pulse solutions affected by intrapulse Raman scattering in the complex cubic Ginzburg–Landau equation (CCGLE). The use of bifurcation analysis for the nonlinear system of ordinary differential equations (ODEs) concerning the amplitude and frequency of the pulse solutions has revealed the existence of a fixed point, from the type center. The pulsating optical pulse solutions obtained through numerical methods applied to the perturbed CCGLE show amplitudes and frequencies that quantitatively match those predicted by the periodic solutions of the ODEs.</p>