traveling pulse
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2021 ◽  
Vol 20 (1) ◽  
pp. 371-402
Author(s):  
Takashi Teramoto ◽  
Peter van Heijster
Keyword(s):  

PLoS ONE ◽  
2018 ◽  
Vol 13 (12) ◽  
pp. e0206817 ◽  
Author(s):  
Manon Azaïs ◽  
Stéphane Blanco ◽  
Richard Bon ◽  
Richard Fournier ◽  
Marie-Hélène Pillot ◽  
...  
Keyword(s):  

2017 ◽  
Vol 95 (6) ◽  
Author(s):  
Kei Nishi ◽  
Shogo Suzuki ◽  
Katsuhiko Kayahara ◽  
Masakazu Kuze ◽  
Hiroyuki Kitahata ◽  
...  

2017 ◽  
Vol 31 (10) ◽  
pp. 1742005
Author(s):  
Eric B. Herbold

This article details some of the techniques used to derive exact solutions from the discrete equations of motion of strongly and weakly nonlinear discrete systems. The distinction between strongly and weakly nonlinear systems is related to the amplitude of a traveling pulse and the external confining load. Materials with an anomalous strain-softening behavior will be emphasized (i.e., [Formula: see text], [Formula: see text]), though this choice does not preclude applications for strain-hardening systems like those with Hertzian potentials. Discrete materials with tunable acoustic transmission properties and novel impact mitigation capacity have gained interest in recent years due to their practical application across many scientific fields. Wave-guides comprised of discrete materials with a nonlinear interaction potential have been used to investigate the interplay between nonlinearity, dispersion and dissipation.


2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Alexander I. Zemlyanukhin ◽  
Andrey V. Bochkarev ◽  
Lev I. Mogilevich ◽  
Ekaterina G. Tindova

A nonlinear differential equation is derived which describes the propagation of axisymmetric stationary longitudinal-bending waves in infinite cylindrical shell of Timoshenko type, interacting with the external nonlinear elastic medium. A modified perturbation method based on the use of diagonal Pade approximants was applied to build exact solitary-wave solutions of the derived equation in the form of traveling front and the traveling pulse. Numerical solutions of the equation, obtained by means of finite difference method, are in good agreement with the corresponding exact analytical ones.


2015 ◽  
Vol 91 (5) ◽  
Author(s):  
Alejandro O. León ◽  
Marcel G. Clerc ◽  
Saliya Coulibaly

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