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    Compactons in Higher-Order Nesterenko's-Type Equations 

    Source: Journal of Computational and Nonlinear Dynamics:;2024:;volume( 019 ):;issue: 005:;page 51002-1
    Author(s): Vladimirov, Vsevolod; Skurativskyi, Sergii
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A model describing propagation of waves in a prestressed granular media is considered. The model, having the form of evolutionary partial differential equation (PDE), is obtained from the system of ordinary differential ...
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    Solitary Wave Dynamics Governed by the Modified FitzHugh–Nagumo Equation 

    Source: Journal of Computational and Nonlinear Dynamics:;2020:;volume( 015 ):;issue: 006
    Author(s): Gawlik, Aleksandra; Vladimirov, Vsevolod; Skurativskyi, Sergii
    Publisher: The American Society of Mechanical Engineers (ASME)
    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 ...
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