24 citations · 89 across the 18 of their papers we have counts for
18 papers
Algorithms for Simultaneous Block Triangularization and Block Diagonalization of Sets of Matrices
Ahmad Y. Al-Dweik, Ryad Ghanam, Gerard Thompson +1
In a recent paper, a new method was proposed to find the common invariant subspaces of a set of matrices. This paper invstigates the more general problem of putting a set of matric…
Quantization of the Szekeres spacetime through generalized symmetries
Andronikos Paliathanasis, Adamantia Zampeli, Theodosios Christodoulakis +1
We present the effect of the quantum corrections on the Szekeres spacetime, a system important for the study of the inhomogeneities of the pre-inflationary era of the universe. The…
Linearization of third-order ordinary differential equations u'''=f(x,u,u',u'') via point transformations
Ahmad Y. Al-Dweik, M. T. Mustafa, F. M. Mahomed +1
The linearization problem by use of the Cartan equivalence method for scalar third-order ODEs via point transformations was solved partially in [1,2]. In order to solve this proble…
Quantization of the Szekeres System
A. Paliathanasis, Adamantia Zampeli, T. Christodoulakis +1
We study the quantum corrections on the Szekeres system in the context of canonical quantization in the presence of symmetries. We start from an effective point-like Lagrangian wit…
Invariant characterization of third-order ODEs that admit a five-dimensional point symmetry Lie algebra
Ahmad Y. Al-Dweik, M. T. Mustafa, F. M. Mahomed
The Cartan equivalence method is applied to provide an invariant characterization of the third-order ordinary differential equation which admits a five-dimensi…
Embedding algorithms and applications to differential equations
Sajid Ali, Hassan Azad, Indranil Biswas +2
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…