On the exact solutions of nonlinear differential equations of nuclear engineering system via invariant variational principle (Q1118076)

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scientific article; zbMATH DE number 4093906
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On the exact solutions of nonlinear differential equations of nuclear engineering system via invariant variational principle
scientific article; zbMATH DE number 4093906

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    On the exact solutions of nonlinear differential equations of nuclear engineering system via invariant variational principle (English)
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    1988
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    The first and third of the authors [Int. J. Engng Sci. 23, 353-357 (1985; Zbl 0583.73015)] obtained the exact solutions of the nonlinear shallow membrance equation. The present paper is a sequel 1 of it. Here the authors consider the solution of the equations governing following physical phenomena: (1) the steady state heat conduction equation and (2) the reactor core optimisation.
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    nonlinear shallow membrance equation
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