Laboratory of Solid Mechanics, Department of Cybernetics, School of Science, Tallinn University of Technology Akadeemia tee 21, Tallinn 12618, Estonia
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Received December 19, 2017
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.
PACS: 46.40.Cd Mechanical wave propagation (including diffraction, scattering, and dispersion); PACS: 47.35.Fg Solitary waves; PACS: 47.54.Fj Chemical and biological applications.