Open Access
2014 Symmetry and Solution of Neutron Transport Equations in Nonhomogeneous Media
Ivan Tsyfra, Tomasz Czyżycki
Abstr. Appl. Anal. 2014(SI37): 1-9 (2014). DOI: 10.1155/2014/724238


We propose the group-theoretical approach which enables one to generate solutions of equations of mathematical physics in nonhomogeneous media from solutions of the same problem in a homogeneous medium. The efficiency of this method is illustrated with examples of thermal neutron diffusion problems. Such problems appear in neutron physics and nuclear geophysics. The method is also applicable to nonstationary and nonintegrable in quadratures differential equations.


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Ivan Tsyfra. Tomasz Czyżycki. "Symmetry and Solution of Neutron Transport Equations in Nonhomogeneous Media." Abstr. Appl. Anal. 2014 (SI37) 1 - 9, 2014.


Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07022952
MathSciNet: MR3226226
Digital Object Identifier: 10.1155/2014/724238

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI37 • 2014
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