We study the geometric properties of generators for the Klein-Gordon equation in Kantowski-
Sachs and certain Bianchi-type spaces. Several versions of the Klein-Gordon equation are …

The Noether symmetry algebras admitted by wave equations on plane-fronted gravitational
waves with parallel rays are determined. We apply the classification of different metric …

In this paper, we complement the analysis involving the “fundamental” solutions of the Klein–
Gordon equation in de Sitter space–times given by Yagdjian and A. Galstian (Comm. Math …

We perform the complete symmetry classification of the Klein–Gordon equation in maximal
symmetric spacetimes. The central idea is to find all possible potential functions V (t, x, y) …

A symmetry analysis of some special classes of Friedmann-Robertson-Walker (FRW)
universe and nonlinear wave equations in this geometry are performed. Conserved forms for …

We explore the application of Lie symmetries to simplify the gravitational field equations of
inhomogeneous cosmology. By employing these symmetries, we demonstrate the …

We investigate the wave equation in Bianchi type III space‐time. We construct a Lagrangian
of the model, calculate and classify the Noether symmetry generators, and construct …

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 …

Symmetry analysis of wave equation on all static spherically symmetric spacetimes admitting
maximal isometry groups G 10 or G 7 or G 6 is carried out. Symmetry algebras of the wave …

The ASD systems and manifolds have been studied via a number of approaches and their
origins have been well documented. In this paper, we look at the symmetry structures …