Pseudo-spectral fourier method as applied to finding localized spherical soliton solutions of (3+1)-dimensional Klein-Gordon equations

被引：1

作者：

Ekomasov, E. G. ^{[1
]}

Salimov, R. K. ^{[1
]}

机构：

[1] Bashkir State Univ, Ul Zaki Validi 32, Ufa 450076, Bashkortostan, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2016年 / 56卷 / 09期

关键词：

Klein-Gordon equation; pulson; breather; pseudospectral Fourier method;

D O I：

10.1134/S0965542516090049

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Nonlinear Klein-Gordon equations with fractional power and logarithmic potentials and with a variation in the phi(4) potential are found for which the existence of long-lived stable spherically symmetric solutions in the form of pulsons is numerically established. Their mean oscillation amplitude and the frequency of the fast oscillation mode do not vary in the course of the numerical simulation. It is shown that the stability of these pulsons is explained by the presence of a potential well.

引用

页码：1604 / 1610

页数：7

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