540 citations · 6.4k across the 303 of their papers we have counts for
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Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame
Andronikos Paliathanasis, Amlan Halder
We perform a detailed Lie symmetry analysis for the hyperbolic system of partial differential equations that describe the one-dimensional Shallow Water magnetohydrodynamics equatio…
Linearization of Newton's second law
Andronikos Paliathanasis
The geometric linearization of nonlinear differential equation is a robust method for the construction of analytic solutions. The method is related to the existence of Lie symmetri…
Geometric Linearization for Constraint Hamiltonian Systems
Andronikos Paliathanasis
This study investigates the geometric linearization of constraint Hamiltonian systems using the Jacobi metric and the Eisenhart lift. We establish a connection between linearizatio…
Lie symmetry classification for the 1+1 and 1+2 generalized Zoomeron equations
Andronikos Paliathanasis, P. G. L. Leach
We present a complete algebraic classification of the Lie symmetries for generalized Zoomeron equations. For the generalized 1+1 and 2+1 Zoomeron equations we solve the Lie symmetr…
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…