We present a generalization of small-polaron band theory based on methods used in the study of Davydov solitons. The eigenstates of the small-polaron band are found to be stationary solutions of our equations of motion; however, among the nonstationary solutions can be found a family of soliton states. The soliton solutions we obtain differ from Davydov solitons in fundamental ways, but are fully consistent with the theory of small polarons.
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Ivić et al. (1989) studied this question.
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