Invariant sets and solutions to a class of wave equations

被引：0
|
作者：
Dong, Yaying [1 ]
Zhang, Shunli [3 ]
Li, Shanbing [2 ]
机构：
[1] Northwest Univ, Sch Math, Xian 710069, Peoples R China
[2] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
[3] Northwest Univ, Sch Math, Ctr Nonlinear Studies, Xian 710069, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 253卷
基金：
中国国家自然科学基金;
关键词：
Wave equation; Invariant set; Exact solution; DIFFUSION-EQUATIONS; EVOLUTION-EQUATIONS; SYMMETRY;
D O I：
10.1016/j.amc.2014.12.093
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the invariant sets and exact solutions of the (1 + 2)-dimensional wave equations. It is proven that there exists a class of solutions to the equations, which belong to the invariant set E-0 = {u : u(x) = v(x)F(u), u(y) = v(y)F(u)}. (C) 2014 Elsevier Inc. All rights reserved.
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页码：369 / 376
页数：8
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