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