On multidimensional exact solutions of a nonlinear system of two equations of elliptic type

被引：1
作者：
Semenov, E. I. [1 ]
Kosov, A. A. [1 ]
机构：
[1] Russian Acad Sci, Siberian Branch, Matrosov Inst Syst Dynam & Control Theory, Irkutsk 664003, Russia
来源：
DIFFERENTIAL EQUATIONS | 2015年 / 51卷 / 02期
基金：
俄罗斯基础研究基金会;
关键词：
Exact Solution; Nonlinear System; Harmonic Function; Nonlinear Elliptic Equation; Elliptic Type;
D O I：
10.1134/S0012266115020081
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study a nonlinear system of two differential equations of elliptic type and of special form. We obtain conditions under which the system can be reduced to a single equation. We find classes of radially symmetric and anisotropic exact solutions given by elementary and harmonic functions.
引用
收藏
页码：232 / 242
页数：11
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