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Symmetry and Solution of Neutron Transport Equations in Nonhomogeneous Media

Symmetry and solution of neutron transport equations in nonhomogeneous media
Authors: Ivan Tsyfra; Tomasz Czyżycki;

Symmetry and Solution of Neutron Transport Equations in Nonhomogeneous Media

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.

Keywords

Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds, QA1-939, Mathematics, Geometric theory, characteristics, transformations in context of PDEs

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Top 10%
Average
Average
gold