arxiv版本：http://arxiv.org/abs/1402.3017

Akhmediev and Kuznetsov-Ma breathers are rogue wave solutions of the nonlinear Schrodinger equation (NLSE). Talbot eect (TE) is an image recurrence phenomenon in the diraction of light  waves. We report the nonlinear TE of rogue waves in a cubic medium. It is dierent from the linear TE, in that the wave propagates in a NL medium and is an eigenmode of NLSE. Periodic rogue waves impinging on a NL medium exhibit recurrent behavior, but only at the TE length and at the half-TE length with a -phase shift; the fractional TE is absent. The NL TE is the result of the NL interference of the lobes of rogue wave breathers. This interaction is related to the transverse period and intensity of breathers, in that the bigger the period and the higher the intensity, the shorter the TE length.