Exact Solutions of a Nonlinear Equation Describing Blow-Up Instability in Self-Oscillatory Systems

A nonclassical fourth-order partial differential equation describing blow-up instability in self-oscillatory systems is studied. Several classes of exact solutions of this equation are constructed. It is shown that these solutions include ones growing to infinity in a finite time, ones bounded globa...

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Veröffentlicht in:	Computational mathematics and mathematical physics 2023-11, Vol.63 (11), p.2081-2089
1. Verfasser:	Aristov, A. I.
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Sprache:	eng
Schlagworte:	Computational Mathematics and Numerical Analysis Exact solutions Mathematical analysis Mathematics Mathematics and Statistics Nonlinear equations Oscillating flow Partial Differential Equations
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description	A nonclassical fourth-order partial differential equation describing blow-up instability in self-oscillatory systems is studied. Several classes of exact solutions of this equation are constructed. It is shown that these solutions include ones growing to infinity in a finite time, ones bounded globally in time, and ones bounded on any finite time interval, but not globally.
doi_str_mv	10.1134/S0965542523110027
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subjects	Computational Mathematics and Numerical Analysis Exact solutions Mathematical analysis Mathematics Mathematics and Statistics Nonlinear equations Oscillating flow Partial Differential Equations
title	Exact Solutions of a Nonlinear Equation Describing Blow-Up Instability in Self-Oscillatory Systems
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