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Integration of the d'Alembert equation by means of four-dimensional nonabelian symmetry subalgebras with a single second-order operator

  • Elementary Particle Physics And Field Theory
  • Published:
Russian Physics Journal Aims and scope

Abstract

In the present article a classification of four-dimensional symmetry subalgebras of a d'Alembert equation containing a single second-order operator and satisfying the condition of noncommutative integration is presented. Exact integration is performed by means of these subalgebras and by means of the method of complete separation of variables.

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Authors and Affiliations

  1. Tomsk State University, Russia

    A. V. Shapovalov & Ya. V. Lisitsyn

Authors
  1. A. V. Shapovalov
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  2. Ya. V. Lisitsyn
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Additional information

Translated from Izvestiya Vysshaya Uchebnykh Zavedenii, Fizika, No. 8, pp. 48–51, August, 1995.

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Shapovalov, A.V., Lisitsyn, Y.V. Integration of the d'Alembert equation by means of four-dimensional nonabelian symmetry subalgebras with a single second-order operator. Russ Phys J 38, 804–807 (1995). https://doi.org/10.1007/BF00559281

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  • DOI: https://doi.org/10.1007/BF00559281

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