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Invariant characterization of scalar third-order ODEs that admit the maximal point symmetry Lie algebra
(
John Wiley and Sons Ltd
, 2018 , Article)
The Cartan equivalence method is used to deduce an invariant characterization of the scalar third-order ordinary differential equation u"' = f(x, u, u', u"), which admits the maximal 7-dimensional point symmetry Lie algebra. ...
Classification of the Lie and Noether point symmetries for the Wave and the Klein–Gordon equations in pp-wave spacetimes
(
Elsevier B.V.
, 2018 , Article)
A complete classification of the Lie and Noether point symmetries for the Klein–Gordon and the wave equation in pp-wave spacetimes is obtained. The classification analysis is carried out by reducing the problem of the ...