1：Experimental Design and Method Selection:

The study utilized a mode-locked fiber laser operating in the normal dispersion regime to generate breathing dissipative solitons. The laser setup included erbium-doped fiber for gain, dispersion compensating fiber for dispersion management, and standard single-mode fiber. The mode-locking mechanism was facilitated through nonlinear polarization rotation.

2：Sample Selection and Data Sources:

The experiment focused on the laser's output under varying pump strengths and dispersion values to observe the transition between stationary and breathing soliton states.

3：List of Experimental Equipment and Materials:

The setup included a 976-nm laser diode for pumping, a wavelength division multiplexer, polarization controllers, a polarization-dependent isolator, and high-speed photodetectors for real-time detection.

4：Experimental Procedures and Operational Workflow:

The laser's output was split into two paths for simultaneous measurement of temporal intensity and spectra using time-stretch dispersive Fourier transform and spatiotemporal intensity measurements.

5：Data Analysis Methods:

The data was analyzed to observe the periodic spectral and temporal evolutions of the breathers and to characterize the breathing soliton molecules.