Maximal subalgebras of rank n-1 of the algebra AP(1,n) and reduction of nonlinear wave equations. I

DOI10.1007/BF01066198zbMath0731.35066MaRDI QIDQ807855

Anatoliy F. Barannyk, W. I. Fushchich

Publication date: 1990

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

zbMATH Keywords

nonlinear wave equationmaximal subalgebrasgroup methods

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Solutions to PDEs in closed form (35C05) Other special methods applied to PDEs (35A25)

Related Items (3)

Reduction of a multidimensional Poincaré-invariant nonlinear equation to two-dimensional equations ⋮ Classification of maximal subalgebras of rank n of the conformal algebra AC(1, n) ⋮ Maximal subalgebras of rank n-1 of the algebra AP(1,n) and the reduction of nonlinear wave equations. II

Cites Work

• The symmetry and some exact solutions of the nonlinear many-dimensional Liouville, d'Alembert and eikonal equations
• Symmetry reduction for nonlinear relativistically invariant equations
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