On self-similar solutions of semilinear wave equations in higher space dimensions

被引：8
作者：
Kycia, Radoslaw [1 ]
机构：
[1] Jagiellonian Univ, Inst Phys, Krakow, Poland
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 22期
关键词：
Self-similar solution; Semilinear wave equation; Singular boundary value problem; FOCUSING NONLINEARITY; EXISTENCE;
D O I：
10.1016/j.amc.2011.04.039
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we analyze self-similar solutions of the semilinear wave equation Phi(tt) - Delta Phi - Phi(p) = 0 for n > 3 space dimensions. We found several classes of analytic solutions labeled by a single parameter, the form of which differ in the vicinity of the light cone. We also propose suitable numerical methods to study them. (C) 2011 Elsevier Inc. All rights reserved.
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页码：9451 / 9466
页数：16
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