We investigate the self-trapping phenomenon in one-dimensional nonlinear waveguide arrays. We discuss various approximate analytical descriptions of the discrete self-trapped solutions. We analyze the packing, steering, and collision properties of these solutions, by means of a variational approach and soliton perturbation theory. We compare the analytical and numerical results. © 1996 The American Physical Society.

• Received 16 June 1995

DOI:https://doi.org/10.1103/PhysRevE.53.1172