KLEIN-GORDON EQUATION WITH A SPECIAL TYPE OF NONLOCAL NONLINEARITY IN COMMUTATIVE HOMOGENEOUS SPACES WITH INVARIANT METRIC

被引：3

作者：

Breev, A. I. ^{[1
,2
]}

Goncharovskii, M. M. ^{[3
]}

Shirokov, I. V. ^{[3
]}

机构：

[1] Natl Res Tomsk State Univ, Tomsk, Russia

[2] Natl Res Tomsk Polytech Univ, Tomsk, Russia

[3] FM Dostoevskii Omsk State Univ, Omsk, Russia

来源：

RUSSIAN PHYSICS JOURNAL | 2013年 / 56卷 / 07期

关键词：

method of orbits; nonlinear Klein-Gordon equation; homogeneous space;

D O I：

10.1007/s11182-013-0092-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A parametric family of particular solutions to the Klein-Gordon equation with nonlocal nonlinearity in commutative homogeneous spaces is constructed with the help of the method of orbits. The nonlinear Klein-Gordon equation in the plane in which the group E(2) acts is considered.

引用

页码：731 / 739

页数：9

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