Abstract

We investigate numerically and analytically the routing of a moderately confined discrete soliton by using a weak oblique control beam in nonlinear waveguide arrays. Our simulations show that a weak control beam can efficiently route a discrete soliton even when the input power of the weak control beam is less than $20\%$ of the discrete soliton input power. The physical insight into the dragging of the discrete soliton toward the control beam is provided for the first time. The influence of several important parameters such as the initial phase of the weak control beam, peak amplitudes of discrete soliton and control beam, control beam width is investigated in detail.

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