scholarly journals Multiscale tunability of solitary wave dynamics in tensegrity metamaterials

2014 ◽  
Vol 105 (20) ◽  
pp. 201903 ◽  
Author(s):  
Fernando Fraternali ◽  
Gerardo Carpentieri ◽  
Ada Amendola ◽  
Robert E. Skelton ◽  
Vitali F. Nesterenko
Keyword(s):  
Solitary Wave ◽  
Wave Dynamics

scholarly journals Solitary Wave Dynamics in an External Potential

2004 ◽  
Vol 250 (3) ◽  
pp. 613-642 ◽  
Author(s):  
J. Fröhlich ◽  
S. Gustafson ◽  
B.L.G. Jonsson ◽  
I.M. Sigal
Keyword(s):  
Solitary Wave ◽  
External Potential ◽  
Wave Dynamics

scholarly journals Solitary Wave Dynamics Governed by the Modified FitzHugh–Nagumo Equation

2020 ◽  
Vol 15 (6) ◽  
Author(s):  
Aleksandra Gawlik ◽  
Vsevolod Vladimirov ◽  
Sergii Skurativskyi
Keyword(s):  
Solitary Wave ◽  
Solitary Waves ◽  
Traveling Wave ◽  
Propagation Velocity ◽  
Function Technique ◽  
Wave Dynamics ◽  
Wave Solutions ◽  
Nagumo Equation ◽  
The Stability ◽  
Nonlinear Wave Solutions

Abstract The paper deals with the studies of the nonlinear wave solutions supported by the modified FitzHugh–Nagumo (mFHN) system. It was proved in our previous work that the model, under certain conditions, possesses a set of soliton-like traveling wave (TW) solutions. In this paper, we show that the model has two solutions of the soliton type differing in propagation velocity. Their location in parametric space, and stability properties are considered in more details. Numerical results accompanied by the application of the Evans function technique prove the stability of fast solitary waves and instability of slow ones. A possible way of formation and annihilation of localized regimes in question is studied therein too.

scholarly journals Solitary wave dynamics in time-dependent potentials

2008 ◽  
Vol 49 (3) ◽  
pp. 032101 ◽  
Author(s):  
Walid K. Abou Salem
Keyword(s):  
Solitary Wave ◽  
Time Dependent ◽  
Wave Dynamics

Solitary wave dynamics of film flows

1994 ◽  
Vol 6 (5) ◽  
pp. 1702-1712 ◽  
Author(s):  
Jun Liu ◽  
J. P. Gollub
Keyword(s):  
Solitary Wave ◽  
Wave Dynamics ◽  
Film Flows

scholarly journals Waves in strongly nonlinear discrete systems

2018 ◽  
Vol 376 (2127) ◽  
pp. 20170130 ◽  
Author(s):  
Vitali F. Nesterenko
Keyword(s):  
Solitary Wave ◽  
Nonlinear Wave ◽  
Travelling Waves ◽  
Classical Case ◽  
Discrete Systems ◽  
High Amplitude ◽  
Periodic Wave ◽  
Strong Nonlinearity ◽  
Wave Dynamics ◽  
Strongly Nonlinear

The paper presents the main steps in the development of the strongly nonlinear wave dynamics of discrete systems. The initial motivation was prompted by the challenges in the design of barriers to mitigate high-amplitude compression pulses caused by impact or explosion. But this area poses a fundamental mathematical and physical problem and should be considered as a natural step in developing strongly nonlinear wave dynamics. Strong nonlinearity results in a highly tunable behaviour and allows design of systems with properties ranging from a weakly nonlinear regime, similar to the classical case of the Fermi–Pasta–Ulam lattice, or to a non-classical case of sonic vacuum. Strongly nonlinear systems support periodic waves and one of the fascinating results was a discovery of a strongly nonlinear solitary wave in sonic vacuum (a limiting case of a periodic wave) with properties very different from the Korteweg de Vries solitary wave. Shock-like oscillating and monotonous stationary stress waves can also be supported if the system is dissipative. The paper discusses the main theoretical and experimental results, focusing on travelling waves and possible future developments in the area of strongly nonlinear metamaterials. This article is part of the theme issue ‘Nonlinear energy transfer in dynamical and acoustical systems’.

Solitary wave dynamics in transversely and longitudinally modulated nonlocal media

2013 ◽  
Vol 305 ◽  
pp. 82-90 ◽  
Author(s):  
Georgios Papazisimos ◽  
Yannis Kominis ◽  
Nikolaos Moshonas ◽  
Panagiotis Papagiannis ◽  
Kyriakos Hizanidis
Keyword(s):  
Solitary Wave ◽  
Wave Dynamics ◽  
Nonlocal Media
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