Abstract
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.
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Funding
This work was supported in part by the Russian Science Foundation, project no. 22-21-00449.
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Translated by I. Ruzanova
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Aristov, A.I. Exact Solutions of a Nonlinear Equation Describing Blow-Up Instability in Self-Oscillatory Systems. Comput. Math. and Math. Phys. 63, 2081–2089 (2023). https://doi.org/10.1134/S0965542523110027
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DOI: https://doi.org/10.1134/S0965542523110027