Abstract
The long-range interaction between two identical solitons in strongly nonlocal nonlinear media with the sine-oscillation response function is studied. It is found that the two solitons may attract each other, repel each other, or keep in parallel in the initial stage. The behavior of the soliton interactions depends periodically on the separation between solitons; it is essentially controlled by the superposition of the periodic light-induced nonlinear refractive index. The different versions of the soliton interactions can be interchanged by adjusting the separation between solitons.
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