No abstract

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

No abstract

No abstract

We demonstrate that nonlinear optical fiber arrays can support stable solitonlike pulses with finite energy. The bound state that we have found is localized both in time and in spatial domain in the direction perpendicular to the pulse propagation. Numerical studies support our analytical conclusions.

It is shown that slow Bragg soliton solutions are possible in nonlinear complex parity-time (PT ) symmetric periodic structures. Analysis indicates that the PT -symmetric component of the periodic optical refractive index can modify the grating band structure and hence the effective coupling between the forward and backward waves. Starting from a classical modified massive Thirring model, solitary wave solutions are obtained in closed form. The basic properties of these slow solitary waves and their dependence on their respective PT -symmetric gain/loss profile are then explored via numerical simulations.

No abstract

No abstract