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

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.
Format: Artikel
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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Zusammenfassung: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.
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542523110027