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

T.P. Valkering

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    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
    Issue number1-2
    Publication statusPublished - 1982


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

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