Motion of soliton center of interactional solitons in nonlinear media with an exponential nonlocal response

•The motion of two interactional solitons is investigated in nonlocal nonlinear media.•A differential equation describing the trajectories of soliton center is proposed.•The characteristics of the motion trajectories are illustrated.•The normal incident case and the inclined incident case are both discussed.

The motion of two interactional solitons is investigated in nonlinear media with an exponential nonlocal response. A differential equation describing the motion trajectories of soliton center is proposed. Some numerical simulations are performed to illustrate the characteristics of the motion trajectories. The results show that the trajectories always oscillate periodically. However, if the two solitons are launched with a relative inclined angle which is larger than a critical value, they do not collide any more but diverge from each other. The critical angle is also given.