Periodic travelling waves in a non-integrable one-dimensional lattice

T.P. Valkering

    Research output: Contribution to journalArticleAcademic

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    Abstract

    The existence of a one-parameter family of periodic solutions representing longitudinal travelling waves is established for a one-dimensional lattice of identical particles with nearest-neighbour interaction. The potential is not given in closed form but is specified by only a few global properties. The lattice is either infinite or consists ofN particles on a circle with fixed circumference. Waves with low energy are sinusoidal and their properties are studied using bifurcation methods. Waves of high energy, however, are of solitary type, i.e. the excitation is strongly localized.
    Original languageEnglish
    Pages (from-to)119-131
    JournalCelestial mechanics and dynamical astronomy
    Volume28
    Issue number1-2
    DOIs
    Publication statusPublished - 1982

    Keywords

    • Chemical kinetics
    • Reversible reactions
    • Diffusion
    • Bimolecular
    • Master equation
    • Simulation

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