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Symmetry and separation of variables in Hamilton-Jacobi equations. II

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Abstract

A covariant description is given of normal parabolic first-order partial differential equations permitting complete separation of variables in any coordinate system; this involves the use of commutative Lie symmetry groups of the equations.

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Literature cited

  1. V. N. Shapovalov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 9 (1978).

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Authors and Affiliations

  1. Kalmytskii State University, USSR

    V. N. Shapovalov

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  1. V. N. Shapovalov
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 25–27, September, 1978.

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Shapovalov, V.N. Symmetry and separation of variables in Hamilton-Jacobi equations. II. Soviet Physics Journal 21, 1130–1132 (1978). https://doi.org/10.1007/BF00894560

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  • DOI: https://doi.org/10.1007/BF00894560

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