Symmetry and Solution of Neutron Transport Equations in Nonhomogeneous Media

Ivan Tsyfra and Tomasz Czyżycki

Abstract and Applied Analysis, 2014, vol. 2014, 1-9

Abstract:

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:724238

DOI: 10.1155/2014/724238

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