The Interaction of Peregrine Solitons

We theoretically investigate the interaction of two in-phase and out-of-phase Peregrine solitons in a Kerr nonlinear medium, addressing both the cases of first- and second-order solitons. Upon adjusting the interval between the solitons, their interactions exhibit different properties. If the interval is sufficiently large, two Peregrine solitons will propagate individually and will not interact each other. However, if the interval is not very large, the Peregrine solitons will strongly interact and display varying behavior.