Quartic solitons of a mode-locked laser distributed model

Dissipative quartic solitons have gained interest in the field of mode-locked lasers for their energy-width scaling which, if identical to the one found in conservative quartic solitons, would allow the generation of ultrashort pulses with high energies. Pursuing the characterization of such solitons, here we found soliton solutions of a distributed model for mode-locked lasers in the presence of group velocity and fourth order dispersions (GVD and 4OD respectively), for two saturable absorber saturation powers. We found that the energy of the pulses follows an inverse relation with the width, with most cases following a different trend than the one found for conservative quartic solitons. Nevertheless, for higher saturation powers and negative 4OD, the pulses showed a behaviour approximate to the one found in the conservative regime, and were the most energetic and the shortest.