Klein–Gordon equation with a special type of nonlocal nonlinearity in commutative homogeneous spaces with invariant metric

被引：0

作者：

A. I. Breev

M. M. Goncharovskii

I. V. Shirokov

机构：

[1] National Research Tomsk State University,

[2] National Research Tomsk Polytechnic University,undefined

[3] F. M. Dostoevskii Omsk State University,undefined

来源：

Russian Physics Journal | 2013年 / 56卷

关键词：

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

D O I：

暂无

中图分类号：

学科分类号：

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：8

共 50 条

[1] KLEIN-GORDON EQUATION WITH A SPECIAL TYPE OF NONLOCAL NONLINEARITY IN COMMUTATIVE HOMOGENEOUS SPACES WITH INVARIANT METRIC
Breev, A. I.
Goncharovskii, M. M.
Shirokov, I. V.
RUSSIAN PHYSICS JOURNAL, 2013, 56 (07) : 731 - 739
[2] CONVERGENCE OF SCATTERING OPERATORS FOR THE KLEIN-GORDON EQUATION WITH A NONLOCAL NONLINEARITY
Sasaki, Hironobu
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2006, 19 (08) : 877 - 889
[3] ON THE UNIQUENESS OF WEAK SOLUTIONS FOR THE KLEIN-GORDON EQUATION WITH A NONLOCAL NONLINEARITY
MENZALA, GP
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1984, 8 (04) : 393 - 400
[4] NONLINEAR KLEIN-GORDON EQUATION ON SCHWARZSCHILD TYPE METRIC
BACHELOT, A
NICOLAS, JP
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1993, 316 (10): : 1047 - 1050
[5] Schrodinger Equation with Convolution Nonlinearity on Lie Groups and Commutative Homogeneous Spaces
Breev, A. I.
RUSSIAN PHYSICS JOURNAL, 2014, 57 (08) : 1050 - 1058
[6] Schrödinger Equation with Convolution Nonlinearity on Lie Groups and Commutative Homogeneous Spaces
A. I. Breev
Russian Physics Journal, 2014, 57 : 1050 - 1058
[7] Blow Up for Klein-Gordon Equation with Nonlocal Operator and Trudinger-Moser Nonlinearity
Carriao, Paulo Cesar
Miyagaki, Olimpio Hiroshi
Vicente, Andre
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2024,
[8] Group invariant transformations for the Klein-Gordon equation in three dimensional flat spaces
Jamal, Sameerah
Paliathanasis, Andronikos
JOURNAL OF GEOMETRY AND PHYSICS, 2017, 117 : 50 - 59
[9] GEODESICS ON HOMOGENEOUS SPACES WITH AN INVARIANT METRIC
ZAMORA, EL
ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS, 1973, 45 (01): : 77 - 82
[10] USE OF SCHWARZSCHILD METRIC IN KLEIN-GORDON EQUATION
SMITH, PDP
PHYSICS LETTERS A, 1973, A 43 (02) : 144 - 144

← 1 2 3 4 5 →