A Complete Symmetry Classification and Reduction of Some Classes of the Nonlinear (1-2) Wave Equation

DOI10.2989/16073601003718271zbMath1274.35008OpenAlexW2079748016MaRDI QIDQ2862694

Ashfaque H. Bokhari, Aijaz Ahmad, Fiazud Din Zaman, Abdul Hamid Kara

Publication date: 19 November 2013

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073601003718271

zbMATH Keywords

Lie symmetry classificationnonlinear \((1-2)\) wave equation

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (3)

Invariant solutions for a class of perturbed nonlinear wave equations ⋮ Lie symmetry analysis and conservation laws of non-linear (2+1) elastic wave equation ⋮ Symmetry analysis for a fourth-order noise-reduction partial differential equation

Cites Work

• On the conserved quantities and associated symmetries for some classes of perturbed wave equations with non-linearities
• Solutions of the nonlinear wave equation invariant under conditional symmetries
• The Symmetry Reduction of Nonlinear Equations of the Type □u + F(u, u1)u0 = 0 to Ordinary Differential Equations
• Potential symmetries of the nonlinear wave equationu_tt= (uu_x)_xand related exact and approximate solutions

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