This study introduces a novel approach for solving the cosmological field equations within
scalar field theory by employing the Eisenhart lift. The field equations are reformulated as a …

Symmetries play a crucial role in physics and, in particular, the Noether symmetries are a
useful tool both to select models motivated at a fundamental level, and to find exact solutions …

This study investigates the geometric linearization of constraint Hamiltonian systems using
the Jacobi metric and the Eisenhart lift. We establish a connection between linearization and …

We exhaustively classify the Lie reductions of the real dispersionless Nizhnik equation to
partial differential equations in two independent variables and to ordinary differential …

Lie symmetries are discussed for the Wheeler-De Witt equation in Bianchi Class A
cosmologies. In particular, we consider general relativity, minimally coupled scalar-field …

TWISTED SYMMETRIES OF DIFFERENTIAL EQUATIONS Page 1 Article Journal of Nonlinear
Mathematical Physics, Vol. 16, Suppl. (2009) 107–136 c G. Gaeta TWISTED SYMMETRIES …

An approach for determining a class of master partial differential equations from which Type
II hidden point symmetries are inherited is presented. As an example a model nonlinear …

The Lie symmetries for a class of systems of evolution equations are studied. The evolution
equations are defined in a bimetric space with two Riemannian metrics corresponding to the …

In [19] we derive nonlocal symmetries for ordinary differential equations by embedding the
given equation in an auxiliary system. Since the nonlocal symmetries of the ODE's are local …

Symmetry, which describes invariance, is an eternal concern in mathematics and physics,
especially in the investigation of solutions to the partial differential equation (PDE). A PDE's …