Group properties of a class of semilinear hyperbolic equations

Group properties of a class of semilinear hyperbolic equations

We present the results of a systematical investigation of invariance properties of a semilinear hyperbolic equation u xt = ƒ(u) , under a one-parameter Lie group of transformations, for arbitrary ƒ( u). The infinitesimals, resulting generators of the Lie algebra, and ordinary differential equations...

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Veröffentlicht in:International journal of non-linear mechanics 1986, Vol.21 (2), p.147-155
Hauptverfasser: Pucci, Edvige, Salvatori, M.Cesarina
Format: Artikel
Sprache:eng
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Zusammenfassung:We present the results of a systematical investigation of invariance properties of a semilinear hyperbolic equation u xt = ƒ(u) , under a one-parameter Lie group of transformations, for arbitrary ƒ( u). The infinitesimals, resulting generators of the Lie algebra, and ordinary differential equations determining invariant solutions, are determined.
ISSN:0020-7462
1878-5638
DOI:10.1016/0020-7462(86)90027-2