STATIONARY PULSE-PROPAGATION IN N-CORE NONLINEAR FIBER ARRAYS

We investigate, analytically and numerically, stationary pulse propaga tion in n-core nonlinear fiber arrays of circular symmetry. It is show n that many types of stationary pulse-like solitary waves exist in the se arrays. Transitions between the states of different symmetries occu r in the form of bifurcations. The exact formula which specifies the p oints where asymmetric solutions bifurcate from the solution, which ha s identical pulses in each core, is obtained for the general n-core ca se. Energy-spatial frequency bifurcation diagrams are constructed for the lowest order soliton solutions for the n=3, 4, and 5 cases. The en velopes of these solutions and distributions of their field amplitude maxima among the cores are also presented.