“…The propagation of partially coherent nonlinear optical waves is a subject of growing interest in different fields of investigations, such as, e.g., supercontinuum (SC) generation [1,2], rogue waves [3][4][5][6], shock waves [7][8][9], nonlinear interferometry [10,11], or incoherent wave propagation in homogeneous [12][13][14][15][16], discrete [17], multimode [18,19] and single-mode fibers nearby the integrable limit [20][21][22]. From a different perspective, optical cavities and lasers offer an interesting experimental platform to study different regimes of optical turbulence [12,[23][24][25][26][27][28][29][30][31][32][33][34][35][36][37].…”