Group classification of nonlinear wave equations

DOI10.1063/1.1884886zbMath1110.35005arXivnlin/0405069OpenAlexW2164326005MaRDI QIDQ3438413

V. I. Lahno, Renat Zhdanov

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0405069

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items

Group classification and conservation laws of a class of hyperbolic equations ⋮ Lie group classification of the \(N\)-th-order nonlinear evolution equations ⋮ Abelian Lie symmetry algebras of two‐dimensional quasilinear evolution equations ⋮ Symmetry classification of third-order nonlinear evolution equations. I: Semi-simple algebras ⋮ Preliminary group classification of $(2+1)$-dimensional linear ultraparabolic Kolmogorov - Fokker - Planck equations ⋮ Generalization of the algebraic method of group classification with application to nonlinear wave and elliptic equations ⋮ Group-theoretical analysis of variable coefficient nonlinear telegraph equations ⋮ Realizations of Lie algebras on the line and the new group classification of (1+1)-dimensional generalized nonlinear Klein-Gordon equations ⋮ Group classification of differential-difference equations: low-dimensional Lie algebras ⋮ Classification of local and nonlocal symmetries of fourth-order nonlinear evolution equations ⋮ Point and contact equivalence groupoids of two-dimensional quasilinear hyperbolic equations ⋮ Galilei symmetries of KdV-type nonlinear evolution equations ⋮ Group classification and exact solutions of nonlinear wave equations ⋮ Preliminary group classification of quasilinear third-order evolution equations ⋮ Preliminary group classification of a class of fourth-order evolution equations ⋮ Application of group methods in solving wave equations

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