Breathing dynamics of dissipative pure quartic soliton molecules via spectral filtering effects

Although dissipative pure quartic solitons (DPQSs) stabilized by fourth-order dispersion (FOD) and nonlinearity are widely studied, their multi-soliton dynamics in positive FOD remain underexplored. Here, we study the impact of saturation energy and filter bandwidth on breathing DPQS molecules numerically. Our findings indicate that complementary breathing DPQS molecules exchange energy through oscillating tails, exhibiting simultaneously temporal oscillations and spectral shifting. By adjusting cavity parameters, we demonstrate that the state of breathing soliton molecules is inherently governed by time separation. These findings deepen the comprehension of multi-soliton interactions and nonlinear phenomena.