Analysis on spatio-temporal locality and degradation of the rogue wave in an optical fiber

In this research, we give an analysis on the conditions and causes of breaking rogue wave's spatio-temporal locality and degradation of high-order rogue wave in an optical fiber by numerical simulation and analytic theory. Our simulation results show that both of increasing input power and third-order dispersion can undermine the spatio-temporal locality of the rogue wave. And they also cause the degradation of the high-order rogue wave as well. Then we find that the rogue wave clusters theory has an appropriate explanation for these phenomena. We consider that the essence of these phenomena is the interaction of rogue wave clusters on the spatio-temporal plane, in addition, give a detailed analysis of this by rogue wave triplet model. And the theoretical results are in good agreement with the simulation results in fiber.