Rhythmic behavior of bound pulses in all-normal-dispersion fiber lasers

Abstract Stable bound pulses (BPs) are numerically obtained in an all-normal-dispersion fiber laser (ANDFL) using white noise as the initial field. When the pump power is monotonically increased, a rhythmic behavior of the number of dissipative solitons (DSs) is first discovered. In addition, we have also observed the soliton explosion in the build-up process of BPs and found that for the same number of pulses, the higher pump power would trigger more frequent soliton explosions. The rule of the rhythmic behavior of DSs number with the pump power may provide new insights into the formation and evolution of DSs. These phenomena also contribute to an in-depth understanding of BPs dynamics and enrich DS dynamics.