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Linearization of third-order ordinary differential equations u'''=f(x,u,u',u') via point transformations
(
John Wiley and Sons Ltd
, 2018 , Article)
The linearization problem for scalar third-order ordinary differential equations via point transformations was solved partially in the works of Al-Dweik et al by the use of the Cartan equivalence method. In order to solve ...
Invariant solutions of the Wave equation on static spherically symmetric spacetimes admitting G7 isometry algebra
(
MDPIAG
, 2018 , Article)
Algorithms to construct the optimal systems of dimension of at most three of Lie algebras are given. These algorithms are applied to determine the Lie algebra structure and optimal systems of the symmetries of the wave ...
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. ...