We present the results of a systematical investigation of invariance properties of a semilinear hyperbolic equation 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.
Group properties of a class of semilinear hyperbolic equations
PUCCI, Edvige;SALVATORI, Maria Cesarina
1986
Abstract
We present the results of a systematical investigation of invariance properties of a semilinear hyperbolic equation 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.File in questo prodotto:
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