Abstract
A realistic model equation governing the amplitude of the electric field in a onedimensional array of nonlinear optical waveguides with nearest-neigbour coupling is derived. The equation is an extension of the discrete nonlinear Schrodinger equation, which previously has been the main model for such systems. Attention is turned towards localised solutions and investigations are made from the viewpoint of the theory of discrete breathers. Calculations for one-site and twosite stationary discrete breathers are made for the model equation and the linear stability is investigated resulting in maps of different regions of stability. Boundaries of stability inversion are discovered, suggesting the existence of high-mobility narrow solutions with potential application to switching.
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