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Two-dimensional effects in nonlinear Kronig-Penney models

Yu. B. Gaididei, P. L. Christiansen, K. Ø. Rasmussen, and M. Johansson
Phys. Rev. B 55, R13365(R) – Published 15 May 1997
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Abstract

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 power.

  • Received 27 November 1996

DOI:https://doi.org/10.1103/PhysRevB.55.R13365

©1997 American Physical Society

Authors & Affiliations

Yu. B. Gaididei, P. L. Christiansen, K. Ø. Rasmussen, and M. Johansson

  • Department of Mathematical Modelling, The Technical University of Denmark, DK-2800 Lyngby, Denmark

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Vol. 55, Iss. 20 — 15 May 1997

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