Abstract
We consider the kink pair in a hydrogen-bonded molecular chain with a symmetric double-well potential and the bell-shape soliton pair corresponding to two parallel (or antiparallel) electric dipoles in a hydrogen-bonded molecular chain with an asymmetric double-well potential. We investigate the influence of the optical mode of the heavy-ion sublattice on the solitions by a variational approach, and show that it at low frequencies will decrease the effective kink mass and increase the effective mass of the bell-shape soliton. Therefore, the bell-shape soliton is a better transmitter of the internal molecular vibrations in a hydrogen-bonded molecular chain, but it does not transport charge.
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