Soliton trains in dispersive media

Свойства нелинейных биофизических систем со сложной внутренней структурой

Автор(и)

  • Jüri Engelbrecht Laboratory of Solid Mechanics, Department of Cybernetics, School of Science, Tallinn University of Technology Akadeemia tee 21, Tallinn 12618, Estonia
  • Tanel Peets Laboratory of Solid Mechanics, Department of Cybernetics, School of Science, Tallinn University of Technology Akadeemia tee 21, Tallinn 12618, Estonia
  • Kert Tamm Laboratory of Solid Mechanics, Department of Cybernetics, School of Science, Tallinn University of Technology Akadeemia tee 21, Tallinn 12618, Estonia

DOI:

https://doi.org/10.1063/1.5041436

Ключові слова:

dispersion, nonlinearities, microstructure, biomembranes, solitons.

Анотація

In this paper two Boussinesq-type mathematical models are described which lead to solitonic solutions. One case corresponds to microstructured solids, another case to biomembranes. The emergence of soliton trains in both cases is demonstrated by using numerical simulation. The pseudospectral method guarantees the high accuracy in computing. The significance of the nonlinearities — either deformation-type or displacement-type, is demonstrated.

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Опубліковано

2018-05-22

Як цитувати

(1)
Engelbrecht, J.; Peets, T.; Tamm, K. Soliton Trains in Dispersive Media: Свойства нелинейных биофизических систем со сложной внутренней структурой. Fiz. Nizk. Temp. 2018, 44, 887-892.

Номер

Том 44 № 7 (2018)

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