Stationary pulse propagation in n-core nonlinear fiber arrays

We investigate, analytically and numerically, stationary pulse propagation in n-core nonlinear fiber arrays of circular symmetry. It is shown that many types of stationary pulse-like solitary waves exist in these arrays. Transitions between the states of different symmetries occur in the form of bifurcations. The exact formula which specifies the points where asymmetric solutions bifurcate from the solution, which has identical pulses in each core, is obtained for the general n-core case. Energy-spatial frequency bifurcation diagrams are constructed for the lowest order soliton solutions for the n=3, 4, and 5 cases. The envelopes of these solutions and distributions of their field amplitude maxima among the cores are also presented.<
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