Complete sets of symmetry operators containing a second-order operator and the problem of separation of variables in the wave equation

V. G. Bagrov, B. F. Samsonov, A. V. Shapovalov, I. V. Shirokov

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For the wave equation in Minkowski space, a space is defined of nontrivial local second-order differential symmetry operators. The algebraic conditions, which, in accordance with the general theorems on the separation of variables, must be satisfied by the commutative subalgebras, including two first-order operators and second-order operator, are formulated in coordinate-free form. On the basis of these subalgebras, there are obtained all the complete sets of symmetry operators of types (2.0), (2.1). Sets are presented which do not have analogues in papers of other authors.

Original languageEnglish
Pages (from-to)377-381
Number of pages5
JournalSoviet Physics Journal
Issue number4
Publication statusPublished - Apr 1991
Externally publishedYes


ASJC Scopus subject areas

  • Physics and Astronomy(all)

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