Exact solutions of the d'Alembert and Liouville equations in the pseudo- Euclidean space \(R_{2,2}\). I

DOI10.1007/BF01099234zbMath0724.35068OpenAlexW4230719684MaRDI QIDQ2644858

Yu. D. Moskalenko, Anatoliy F. Barannyk, W. I. Fushchich

Publication date: 1990

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01099234

zbMATH Keywords

Poincaré algebramaximal invariant algebra

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Local Lie groups (22E05)

Cites Work

• Subalgebras of the Poincaré algebra AP(2,3) and the symmetric reduction of the nonlinear ultrahyperbolic d'Alembert equation. I
• Subalgebras of the Poincaré algebra AP(2,3) and symmetry reduction of the nonlinear ultrahyperbolic d'Alembert equation. II
• The symmetry and some exact solutions of the nonlinear many-dimensional Liouville, d'Alembert and eikonal equations
• Symmetry reduction for nonlinear relativistically invariant equations
• Continuous subgroups of the fundamental groups of physics. II. The similitude group
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