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

被引：0
|
作者：
Aristov, A. I. [1 ,2 ]
机构：
[1] Moscow MV Lomonosov State Univ, Fac Computat Math & Cybernet, Moscow 119992, Russia
[2] Russian Acad Sci, Fed Res Ctr Comp Sci & Control, Moscow 119333, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2023年 / 63卷 / 11期
基金：
俄罗斯科学基金会;
关键词：
nonlinear partial differential equations; blow-up of solutions; exact solutions;
D O I：
10.1134/S0965542523110027
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：2081 / 2089
页数：9
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