Abstract
We present a new method for calculating the structure of narrow solitary waves in an extension of the original Antonchenko model for hydrogen bonded systems. Taking advantage of the properties of the topological kink in the proton sublattice, we obtain a solution in the oxygen sublattice that includes discreteness intrinsically. A comparison with the solution derived by numerical simulations shows that this approach is significantly better than the standard continuum approximation, particularly when the solitary wave speed approaches the speed of sound in the oxygen sublattice. The method determines also the frequencies and amplitudes of the wave radiated in the wake of a narrow oxygen kink in the same velocity range.
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