Optimal system and group invariant solutions for a nonlinear wave equation.

DOI10.1016/S1007-5704(03)00018-2zbMath1036.35010OpenAlexW2084622069MaRDI QIDQ1417833

D. P. Mason, G. H. Maluleke

Publication date: 6 January 2004

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1007-5704(03)00018-2

zbMATH Keywords

point symmetryErmakov-Pinney equation

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30)

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Cites Work

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• Rarefactive solitary waves in two-phase fluid flow of compacting media
• Group analysis of the von Kármán-Howarth equation. I: Submodels
• Group analysis of the von Kármán-Howarth equation. II: Physical invariant solutions
• Nonlinear waves in compacting media
• Group-invariant solutions and optimal systems for multidimensional hydrodynamics
• Subalgebras of real three- and four-dimensional Lie algebras
• The nonlinear differential equation 𝑦”+𝑝(𝑥)𝑦+𝑐𝑦⁻³=0

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