Abstract
We addressed the mobilities of spatial beams in nonlocal nonlinear media with the aid of the analogy to the particles described by Newtonian mechanics. Various dynamics for spatial beam are predicated by equivalent kinematic laws, including the harmonic vibrations due to the off-centered shifts, the circular and elliptical motions to the combination of off-centered shifts and initial phase chirps, which can be equivalently regarded as the Hooke's force and the transverse velocities in mechanics, respectively. By a purposive engineering of several beams, we can achieve a variety of rotating clusters, such as clusters with opposite rotating directions along different circular orbits and those exhibiting both revolving and spinning rotations simultaneously. The predications about dynamics of spatial beams are confirmed by the numerical simulations.
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