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

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

New Solitary Wave and Multiple Soliton Solutions for the Time-Space Coupled Fractional mKdV System with Time-Dependent Coefficients

2016 ◽  
Vol 13 (12) ◽  
pp. 9082-9089 ◽  
Author(s):  
H. M Jaradat ◽  
Safwan Al-Shara’ ◽  
M. M. M Jaradat ◽  
Zead Mustafa ◽  
O Alsayyed ◽  
...  
Keyword(s):  
Solitary Wave ◽  
Soliton Solutions ◽  
Time Dependent ◽  
Multiple Soliton Solutions ◽  
Time Space

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.

Classical and quantum wave dynamics on time-dependent geometric graph

2018 ◽  
Vol 56 (2) ◽  
pp. 747-753
Author(s):  
Igor Y. Popov ◽  
Dmitri S. Nikiforov
Keyword(s):  
Geometric Graph ◽  
Time Dependent ◽  
Wave Dynamics ◽  
Quantum Wave
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