{'fraction_non_alphanumeric': 0.031098153547133137, 'fraction_numerical': 0.0, 'mean_word_length': 5.023391812865497, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Motion of a soliton pair in an inhomogeneous hydrogen-bonded chain

In a hydrogen-bonded chain with a symmetric double-well potential there are slow-mode kink-antikink pairs and fast-mode kink-kink pairs. However, in a hydrogen-bonded chain with an asymmetric double-well potential, there are slow-mode bell-shaped soliton-antisoliton pairs corresponding to two parallel electric dipoles and fast-mode bell-shaped soliton-soliton pairs corresponding to two antiparallel electric dipoles. Propagating in a spatial inhomogeneous chain, soliton pairs may transform from slow-mode soliton-antisoliton pairs into fast-mode soliton-soliton pairs or the converse process. For bell-shaped soliton pairs, this transformation is accompanied by a reversion of the electric dipoles in one of the two sublattices. In the case of repulsion-type impurities there is a critical velocity vcr for the incident soliton pair. If the velocity v of the incident soliton pair equals vcr, its trajectory of motion in phase space will branch while, for v