Solitons in hydrogen-bonded chains

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Abstract
A one-dimensional model for hydrogen-bonded chains is investigated by including the dynamical degrees of freedom of the oxygens and thus generalizing the original Antonchenko-Davydov-Zolotaryuk model. Analytical solutions are derived within a continuum approximation up to second order so that rather narrow solutions could be derived accurately enough. Numerical simulations with a set of parameters derived from infrared spectra show stable low- and high-speed solutions separated by a forbidden gap. There exists also an intermediate velocity range where the initial pulse is unstable in the sense that it is transformed to a high-speed solution with the same energy. Discreteness effects are discussed.

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