On Exact Solutions of the Oskolkov-Benjamin-Bona-Mahony-Burgers Equation

被引：6
|
作者：
Aristov, A. I. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Fac Computat Math & Cybernet, Moscow 119991, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2018年 / 58卷 / 11期
关键词：
Oskolkov-Benjamin-Bona-Mahony-Burgers equation; Sobolev-type equations; exact solutions; blowup of solutions;
D O I：
10.1134/S0965542518110027
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For the Oskolkov-Benjamin-Bona-Mahony-Burgers equation with a linear source, families of exact solutions expressed in terms of elementary and special functions are constructed. It is shown that these families contain solutions growing to infinity on finite time intervals, bounded on any finite time interval (but not globally), and bounded globally in time.
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页码：1792 / 1803
页数：12
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