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The effect of finite boundaries in the propagation of spatial nonlocalsolitons in media with cylindrical symmetry is analyzed. Using Ehrenfest'stheorem together with the Green's function of the nonlinear refractive indexequation, we derive an analytical expression for the force exerted on thesoliton by the boundaries, verifying its validity by full numericalpropagation. We show that the dynamics of the soliton are determined not onlyby the degree of nonlocality, but also by the boundary conditions for therefractive index. In particular, we report that a supercritical pitchforkbifurcation appears when the boundary condition exceed a certain thresholdvalue.

Soliton dynamics in finite nonlocal media with cylindrical symmetry