Three-dimensional interaction of strongly nonlocal optical spatial solitons

With a 1 + 2D strongly nonlocal model, we present an analytical solution of the interaction of two unaligned optical solitons. It is shown that transferring of the two beams in a stable spiraling is possible for a large range of parameters. The spiraling structure dose not depend on the initial relative phase. The projection of the two beams centers in the transverse coordinate plane lies in the same ellipse. The two periods such as the spiraling period and the energy exchange period are expressed firstly.