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Quadratic algebras and noncommutative integration of Klein-Gordon equations in non-steckel Riemann spaces

Authors :
V. V. Firstov
O. L. Varaksin
A. V. Shapovalov
I. V. Shirokov
Source :
Russian Physics Journal. 38:508-512
Publication Year :
1995
Publisher :
Springer Science and Business Media LLC, 1995.

Abstract

The method of noncommutative integration of linear partial differential equations is used to solve the Klein-Gordon equations in Riemann space, in the case when the set of noncommutating symmetry operators of this equation for a quadratic algebra consists of one second-order operator and several first-order operators. Solutions that do not permit variable separation are presented.

Details

ISSN :
15739228 and 10648887
Volume :
38
Database :
OpenAIRE
Journal :
Russian Physics Journal
Accession number :
edsair.doi...........9b5d997260e0ed8ae6f2bbc83f43aa19