| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5500498 | Wave Motion | 2017 | 7 Pages |
Abstract
Longitudinal mechanical waves in biomembranes are described by a Boussinesq-type wave equation. It is shown that in this case the nonlinearities are of a different type compared with conventional models of solids. The governing equation analysed in this paper is the improved Heimburg-Jackson model with two dispersive terms. The soliton-type solutions of such a wave equation are found and analysed. The existence of solitons depends on the ratio of nonlinear terms and the width of solitons is governed by dispersive terms.
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Authors
Tanel Peets, Kert Tamm, Jüri Engelbrecht,