Group classification of nonlinear wave equations

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dc.creatorLagno, V. I.
dc.creatorZhdanov, R. Z.
dc.creatorMagda, O.
dc.date2004-05-31
dc.date.accessioned2026-07-07T05:35:36Z
dc.date.available2026-07-07T05:35:36Z
dc.descriptionWe perform complete group classification of the general class of quasi linear wave equations in two variables. This class may be seen as a broad generalization of the nonlinear d'Alembert, Liouville, sin/sinh-Gordon and Tzitzeica equations. In this way we derived a number of new genuinely nonlinear invariant models with high symmetry properties. In particular, we obtain four classes of nonlinear wave equations admitting five-dimensional invariance groups. Applying the symmetry reduction technique we construct multi-parameter families of exact solutions of those wave equations.
dc.description56 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/nlin/0405069
dc.identifierhttp://arxiv.org/abs/nlin/0405069
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80747
dc.subjectExactly Solvable and Integrable Systems
dc.titleGroup classification of nonlinear wave equations
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