Three-wave interaction in two-component quadratic nonlinear lattices

V. V. Konotop, M. D. Cunha, Peter Leth Christiansen, Carl A. Balslev Clausen

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    Abstract

    We investigate a two-component lattice with a quadratic nonlinearity and find with the multiple scale technique that integrable three-wave interaction takes place between plane wave solutions when these fulfill resonance conditions. We demonstrate that. energy conversion and pulse propagation known from three-wave interaction is reproduced in the lattice and that exact phase matching of parametric processes can be obtained in non-phase-matched lattices by tilting the interacting plane waves with respect to each other. [S1063-651X(99)15110-9].
    Original languageEnglish
    JournalPhysical Review E. Statistical, Nonlinear, and Soft Matter Physics
    Volume60
    Issue number5
    Pages (from-to)6104-6110
    ISSN1063-651X
    DOIs
    Publication statusPublished - 1999

    Bibliographical note

    Copyright (1999) by the American Physical Society.

    Keywords

    • SYSTEMS
    • MEDIA
    • MODES
    • SOLITONS

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