Rotating solitons supported by a spiral waveguide

We investigate numerically light propagation in a single spiral waveguide formed in a nonlinear dielectric medium for a low spatial frequency of the waveguide rotation. We present a general procedure for finding solitonic solutions in spiral waveguiding structures, as well as the variational approach to calculate soliton parameters analytically. Solitons supported by the spiral waveguide perform robust stable rotational oscillatory motion, with the period predicted by their static characteristics, without any signatures of wave radiation or soliton decay over many rotation periods and diffraction lengths.