Subalgebras of the Poincaré algebra AP(2,3) and the symmetric reduction of the nonlinear ultrahyperbolic d'Alembert equation. I

DOI10.1007/BF01057195zbMath0683.35056OpenAlexW2024057778MaRDI QIDQ1824767

V. I. Lahno, Leonid F. Barannyk, W. I. Fushchich

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf01057195

zbMATH Keywords

Poincaré algebranonlinear ultrahyperbolic d'Alembert equationsymmetric reduction

Mathematics Subject Classification ID

Hyperbolic equations and hyperbolic systems (35L99)

Related Items (1)

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

Cites Work

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• Symmetry and exact solutions of multidimensional nonlinear wave equations
• The symmetry and some exact solutions of the nonlinear many-dimensional Liouville, d'Alembert and eikonal equations
• Continuous subgroups of the Poincare group P(1, 4)
• Symmetry reduction for nonlinear relativistically invariant equations
• On subalgebras of the Lie algebra of the extended Poincaré group P̃(1,n)
• Continuous subgroups of the fundamental groups of physics. I. General method and the Poincaré group
• Representations of the complete inhomogeneous de Sitter group and equations in the five-dimensional approach. I

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