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.
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References
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Additional information
Tomsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 83–87, May, 1995.
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Varaksin, O.L., Firstov, V.V., Shapovalov, A.V. et al. Quadratic algebras and noncommutative integration of Klein-Gordon equations in non-steckel Riemann spaces. Russ Phys J 38, 508–512 (1995). https://doi.org/10.1007/BF00559308
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DOI: https://doi.org/10.1007/BF00559308