An analysis of two-dimensional (2D) effects in the nonlinear Kronig-Penney model is presented. We establish an effective one-dimensional description of the 2D effects, resulting in a set of pseudodifferential equations. The stationary states of the 2D system and their stability is studied in the framework of these equations. In particular it is shown that localized stationary states exist only in a finite interval of the excitation Dower.
Bibliographical noteCopyright (1997) by the American Physical Society.