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Solitons in stochastic molecular chains

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Abstract

The dynamics of solitary collective excitations in one-dimensional molecular crystals under the action of stochastic perturbations is studied. An equation is derived for the mean field of nonlinear collective excitations a(x, t) and deformation of the lattice ρ(x, t). The law describing the decay of collective excitations is obtained.

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Authors and Affiliations

  1. V. I. Lenin State University, Tashkent

    F. Kh. Abdullaev, A. A. Abdumalikov & A. S. Rakhmatov

Authors
  1. F. Kh. Abdullaev
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  2. A. A. Abdumalikov
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  3. A. S. Rakhmatov
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 21–25, December, 1981.

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Abdullaev, F.K., Abdumalikov, A.A. & Rakhmatov, A.S. Solitons in stochastic molecular chains. Soviet Physics Journal 24, 1082–1086 (1981). https://doi.org/10.1007/BF00893728

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  • DOI: https://doi.org/10.1007/BF00893728

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