On a Nonlinear Second-Order Ordinary Differential Equation

被引：0
|
作者：
Kosov, A. A. [1 ]
Semenov, E. I. [1 ]
机构：
[1] Russian Acad Sci, Matrosov Inst Syst Dynam & Control Theory, Siberian Branch, Irkutsk 664033, Russia
来源：
DIFFERENTIAL EQUATIONS | 2023年 / 59卷 / 01期
基金：
俄罗斯科学基金会;
关键词：
D O I：
10.1134/S0012266123010111
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider a nonlinear second-order ordinary differential equation of a special formwhose particular case arises when constructing exact solutions of the nonlinear heat equation witha power-law coefficient. Conditions are obtained for the parameters under which the equationadmits a single integration. A number of examples of constructing exact solutions expressed interms of elementary functions or in terms of the Lambert function are given.
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页码：143 / 146
页数：4
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