“…PMLFLs are typical dissipative nonlinear systems with high noise sensitivity and rich physical mechanisms. Among them, soliton collisions [5,6] , soliton molecules [7,8] , and soliton explosions [9,10] have been extensively studied, both experimentally and theoretically. In recent years, as a universal modeling scheme of complex systems, deep learning has been widely used in the field of nonlinear dynamics, such as predicting pulse propagation dynamics [11,12] , characterizing ultrashort optical pulses [13] , predicting the dynamics in PMLFLs [14] , and modeling physically analytic soliton interactions [15,16] .…”