Spiraling interaction of multi-mode solitons in self-induced harmonic potentials

Abstract

We investigate the propagation and spiraling interaction of multi-mode solitons in self-induced harmonic potentials. The general analytical propagation expression for the interaction of the multi-mode solitons is derived. The interaction characteristics, such as the evolution of the intensity of the combined optical field, the spacing of each constituent soliton to the longitudinal axis, the spiraling angle and velocity, the propagation trajectory, and the phase shift are discussed with detail. We show that it is possible to control the spiraling interacting trajectories of the solitons by carefully designing the input parameters. It is proved that the motion state of each soliton satisfies the conservation of mechanical energy. The results may have potential applications in all-optical information processing and particle control.