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Group classification of nonlinear wave equations | V.I.Lagno
; R.Z. Zhdanov
; O.Magda
; | Date: |
31 May 2004 | Subject: | Exactly Solvable and Integrable Systems | nlin.SI | Affiliation: | State Pedagogical University, Poltava), R.Z. Zhdanov (Institute of Mathematics, Kiev) and O.Magda (Institute of Mathematics, Kiev | Abstract: | We 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. | Source: | arXiv, nlin.SI/0405069 | Services: | Forum | Review | PDF | Favorites |
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