Soliton solutions for NLS model via the separation of variables method

The NLS (nonlinear Schrödinger) model in strongly nonlocal nonlinear media (SNNM) is proposed. The analytical solutions of the soliton cluster for the model are derived by means of the separation of variables and rotational equation method. Then the influence of initial parameters on the dynamics is discussed. The results presents by adjusting the initial parameters, the intensity, motion direction, center and angular of the cluster are manipulated to form a soliton cluster rotating from the original spatial soliton. The results of this paper have certain application value in beam manipulation and all-optical interconnection.