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Symmetry and Solution of Neutron Transport Equations in Nonhomogeneous Media

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  • Ivan Tsyfra
  • Tomasz Czyżycki

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.

Suggested Citation

  • Ivan Tsyfra & Tomasz Czyżycki, 2014. "Symmetry and Solution of Neutron Transport Equations in Nonhomogeneous Media," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, June.
    • Handle: RePEc:hin:jnlaaa:724238
    DOI: 10.1155/2014/724238
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