Solitons modelled by Boussinesq-type equations

被引：3
作者：
Engelbrecht, Jun [1 ]
Peets, Tanel [1 ]
Tamm, Kert [1 ]
机构：
[1] Tallinn Univ Technol, Sch Sci, Dept Cybernet, Lab Solid Mech, Akad Tee 21, EE-12618 Tallinn, Estonia
来源：
MECHANICS RESEARCH COMMUNICATIONS | 2018年 / 93卷
关键词：
Boussinesq-type equation; Solitons; Microstructure; Solids; Biomembranes; NERVE; NONLINEARITIES; PROPAGATION; WAVES;
D O I：
10.1016/j.mechrescom.2017.05.008
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Boussinesq-type equations arise in many areas of fluid and solid mechanics where nonlinearities and dispersion are taken into account. In this paper the analysis of two Boussinesq-type models is presented. One model describes propagation of waves in microstructured solids and another one - waves in biomembranes. The main difference between these equations is the structure of the nonlinearities - in case of the microstructure model these are in terms of displacement gradients and in case of the biomembrane - in terms of displacements. Numerical analysis is carried out and differences in the solutions are discussed. Due to the nonlinear character of biomembranes made of lipids, the smaller solitons in biomembranes may travel faster than higher solitons. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：62 / 65
页数：4
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