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contributor authorGawlik, Aleksandra
contributor authorVladimirov, Vsevolod
contributor authorSkurativskyi, Sergii
date accessioned2022-02-04T14:11:41Z
date available2022-02-04T14:11:41Z
date copyright2020/04/21/
date issued2020
identifier issn1555-1415
identifier othercnd_015_06_061003.pdf
identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4273155
description abstractThe 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.
publisherThe American Society of Mechanical Engineers (ASME)
titleSolitary Wave Dynamics Governed by the Modified FitzHugh–Nagumo Equation
typeJournal Paper
journal volume15
journal issue6
journal titleJournal of Computational and Nonlinear Dynamics
identifier doi10.1115/1.4046821
page61003
treeJournal of Computational and Nonlinear Dynamics:;2020:;volume( 015 ):;issue: 006
contenttypeFulltext


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