Abstract
A novel method is presented for the analytical construction of solitary wave solutions of the nonlinear Kronig-Penney model in a photonic structure. In order to overcome the restrictions of the coupled-mode theory and the tight-binding approximation and study the solitary wave formation in a unified model, we consider the original NLSE, with periodically varying coefficients, modeling a waveguide array structure. The analytically obtained solutions correspond to gap solitons and form a class of self-localized solutions existing under quite generic conditions. A remarkable robustness of the solutions under propagation is shown, thus providing potentiality for various applications.
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