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.

引用

页码：9451 / 9466

页数：16

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