In this work we perform the symmetry classification of the Klein–Gordon equation in Bianchi I
spacetime. We apply a geometric method which relates the Lie symmetries of the Klein …

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 …

Abstract In Bokhari et al.(2011), the Noether symmetries of the wave equation on a general
spherically symmetric spacetime metric were provided in terms of five functions of the …

The aim of this paper is to give the geometrical/physical interpretation of the conserved
quantities corresponding to each Noether symmetry of the geodetic Lagrangian of plane …

Algorithms for embedding certain types of nilpotent subalgebras in maximal subalgebras of
the same type are developed, using methods of real algebraic groups. These algorithms are …

The infinitesimal algebra of Lie symmetries of the Eikonal equation is shown to be
isomorphic to o (n+ 1, 2) when there are n independent variables. An explicit basis is found …

We study soliton solutions to the Klein-Gordon equation via Lie symmetries and the
travelling-wave ansatz. It is shown, by taking a linear combination of the spatial and …

Symmetry analysis of a wave equation on a class of cylindrical symmetric static space-times
(CSSS) is performed. The results are classified according to the Noether symmetries and …

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 …

Nowadays, there is much interest in constructing exact analytical solutions of differential
equations using Lie symmetry methods. Lie devised the method in the 1880s. These …