Dirac Monopoles in Rogue Waves

Abstract

We for the first time demonstrate that the widely existed nonlinear waves such as rogue waves, contain Dirac monopoles. We find that the density zeros of these nonlinear waves on an extended complex plane can constitute the Dirac virtual magnetic monopole fields with a quantized flux of elementary $\pi$. We then can explain the exotic property of ``appearing from nowhere and disappearing without a trace" of rogue waves by means of a Dirac monopole collision mechanism. The maximum amplification ratio and multiple phase steps of high-order rogue waves are found to be closely related to the number of their contained monopoles. Important implications of the intrinsic virtual magnetic monopole fields are discussed.