  Pulsating behavior is a universal phenomenon in versatile fields. In
nonlinear dissipative systems, the solitons could also pulsate under proper
conditions and show many interesting dynamics. However, the pulsation dynamics
is generally concerned with single soliton case. Herein, by utilizing real-time
spectroscopy technique, namely, dispersive Fourier-transform (DFT), we reveal
the versatile categories of pulsating solitons in a fiber laser. In particular,
the weak to strong explosive behaviors of pulsating soliton, as well as the
rogue wave generation during explosions were observed. Moreover, the concept of
soliton pulsation was extended to the multi-soliton case. It is found that the
simultaneous pulsation of energy, separation and relative phase difference
could be observed for solitons inside the molecule, while the pulsations of
each individual in multi-soliton bunch could be regular or irregular. These
findings would further enrich the ultrafast dynamics of dissipative solitons in
nonlinear optical systems.
