202 citations · 341 across the 18 of their papers we have counts for
19 papers
Interacting dark energy in curved FLRW spacetime from Weyl Integrable Spacetime
S. Chatzidakis, A. Giacomini, P. G. L. Leach +3
In the present article, we show that a simple modification to the Einstein-Hilbert action can explain the possibility of mutual interaction between the cosmic fluids. That is achie…
Lie symmetry classification and qualitative analysis for the fourth-order Schrödinger equation
A. Paliathanasis, G. Leon, P. G. L. Leach
The Lie symmetry analysis for the study of a fourth-order Schrödinger equation inspired by the modification of the deformation algebra in the presence of a minimum length is…
Symmetries and conservation laws for the generalized -dimensional Ermakov system
Andronikos Paliathanasis, Genly Leon, P. G. L. Leach
We revise recent results on the classification of the generalized three-dimensional Hamiltonian Ermakov system. We show that a statement published recently is incorrect, while the…
Anisotropic Spacetimes in Chiral Scalar Field Cosmology
A. Giacomini, P. G. L. Leach, G. Leon +1
Study the behaviour and the evolution of the cosmological field equations in an homogeneous and anisotropic spacetime with two scalar fields coupled in the kinetic term. Specifical…
Lie Symmetry Analysis and Similarity Solutions for the Jimbo-Miwa Equation and Generalisations
Amlan K Halder, Andronikos Paliathanasis, Rajeswari Seshadri +1
We study the Jimbo-Miwa equation and two of its extended forms, as proposed by Wazwaz et al, using Lie's group approach. Interestingly, the travelling-wave solutions for all the th…
Singularity Analysis of a Variant of the Painlev{é}--Ince Equation
Amlan K Halder, Andronikos Paliathanasis, PGL Leach
We examine by singularity analysis an equation derived by reduction using Lie point symmetries from the Euler--Bernoulli Beam equation which is the Painlevé--Ince Equation with add…