Discrete bright solitary waves in quadratically nonlinear media

T. Peschel, U. Peschel, and F. Lederer
Phys. Rev. E 57, 1127 – Published 1 January 1998
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Abstract

We show that bright solitary waves of different topologies can exist in a discrete system with a quadratic nonlinearity. Analytical solutions can be derived for a limiting case. The regions of existence and stability are identified. We numerically study interaction and collision phenomena. Various decay scenarios for unstable solutions are discussed.

  • Received 13 May 1997

DOI:https://doi.org/10.1103/PhysRevE.57.1127

©1998 American Physical Society

Authors & Affiliations

T. Peschel*, U. Peschel, and F. Lederer

  • Institut für Festkörpertheorie und Theoretische Optik, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, D-07743 Jena, Germany

  • *Present address: Fraunhofer-Institut für Angewandte Optik und Feinmechanik, Schillerstr. 1, 07745 Jena, Germany.
  • Electronic address: p6peul@uni-jena.de

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Vol. 57, Iss. 1 — January 1998

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