Abstract
A description is obtained of the rank-2 and rank-3 maximal subalgebras of the extended Poincare algebra AP(2,2), which is the maximal invariance algebra of the equation □u+F(u)=0, where F(u)=λuk, k ≠ 1 or F(u)= λexp u.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 8, pp. 1122–1128, August, 1990.
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Fushchich, V.I., Barannik, A.F. & Moskalenko, Y.D. Exact solutions of the d'alembert and liouville equations in the pseudo-Euclidean space R2, 2· I. Ukr Math J 42, 1001–1006 (1990). https://doi.org/10.1007/BF01099234
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DOI: https://doi.org/10.1007/BF01099234