Solitons in multicore nonlinear waveguide arrays

In this paper we start to investigate solitary wave propagation in multi-core nonlinear fibre arrays of circular symmetry. We find new classes of stationary solitary wave solutions for this type of array. We also investigate the structure of these new soliton solutions and the parameter regions where they exist. It is shown that the bifurcation phenomenon, which was recently found for the case of the two-core nonlinear coupler, has a universal character and can be observed for every number n of cores in a multicore nonlinear fibre array of circular symmetry