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Local solutions of harmonical and Bi-harmonical equations, universal field equation and self-dual configurations of Yang-Mills fields in four dimensions

Abstract

A general method for the construction of solutions of the d`Alamberian and double d`Alamberian (harmonic and bi-harmonic) equations with local dependence of arbitrary functions upon two independent arguments is proposed. The connection between solutions of this kind and self-dual configurations of gauge fields having no singularities is established. 5 refs.
Authors:
Publication Date:
Dec 31, 1994
Product Type:
Technical Report
Report Number:
IHEP-94-21
Reference Number:
SCA: 662110; PA: AIX-26:027047; EDB-95:047965; SN: 95001341904
Resource Relation:
Other Information: DN: Submitted to the journal, Lett. Math. Phys.; PBD: 1994
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; FIELD EQUATIONS; FOUR-DIMENSIONAL CALCULATIONS; DUALITY; THREE-DIMENSIONAL CALCULATIONS; YANG-MILLS THEORY; 662110; THEORY OF FIELDS AND STRINGS
OSTI ID:
10122958
Research Organizations:
Gosudarstvennyj Komitet po Ispol`zovaniyu Atomnoj Ehnergii SSSR, Serpukhov (Russian Federation). Inst. Fiziki Vysokikh Ehnergij
Country of Origin:
Russian Federation
Language:
English
Other Identifying Numbers:
Other: ON: DE95620521; TRN: RU9500124027047
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
6 p.
Announcement Date:
Jun 30, 2005

Citation Formats

Leznov, A N. Local solutions of harmonical and Bi-harmonical equations, universal field equation and self-dual configurations of Yang-Mills fields in four dimensions. Russian Federation: N. p., 1994. Web.
Leznov, A N. Local solutions of harmonical and Bi-harmonical equations, universal field equation and self-dual configurations of Yang-Mills fields in four dimensions. Russian Federation.
Leznov, A N. 1994. "Local solutions of harmonical and Bi-harmonical equations, universal field equation and self-dual configurations of Yang-Mills fields in four dimensions." Russian Federation.
@misc{etde_10122958,
title = {Local solutions of harmonical and Bi-harmonical equations, universal field equation and self-dual configurations of Yang-Mills fields in four dimensions}
author = {Leznov, A N}
abstractNote = {A general method for the construction of solutions of the d`Alamberian and double d`Alamberian (harmonic and bi-harmonic) equations with local dependence of arbitrary functions upon two independent arguments is proposed. The connection between solutions of this kind and self-dual configurations of gauge fields having no singularities is established. 5 refs.}
place = {Russian Federation}
year = {1994}
month = {Dec}
}