Solutions of the nonlinear wave equation invariant under conditional symmetries

DOI10.1088/0305-4470/29/19/020zbMath0905.35051OpenAlexW2045705178MaRDI QIDQ4393675

Mikhail V. Foursov, Evgenij M. Vorob'ev

Publication date: 9 February 1999

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

Full work available at URL: https://doi.org/10.1088/0305-4470/29/19/020

zbMATH Keywords

exact solutions invariant under the conditional symmetries

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Invariance and symmetry properties for PDEs on manifolds (58J70) Solutions to PDEs in closed form (35C05)

Related Items (7)

ON THE NOTION OF CONDITIONAL SYMMETRY OF DIFFERENTIAL EQUATIONS ⋮ ON THE NOTION OF CONDITIONAL SYMMETRY OF DIFFERENTIAL EQUATIONS ⋮ Group-theoretical analysis of variable coefficient nonlinear telegraph equations ⋮ Group properties of generalized quasi-linear wave equations ⋮ Symmetry reductions and new exact invariant solutions of the generalized Burgers equation arising in nonlinear acoustics ⋮ Second-order approximate symmetry classification and optimal system of a class of perturbed nonlinear wave equations ⋮ A Complete Symmetry Classification and Reduction of Some Classes of the Nonlinear (1-2) Wave Equation

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