540 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- A. Paliathanasis2 profiles185 · h 42
- G. Leon2 profiles55 · h 31
- M. Govender2 profiles30 · h 21
- M. Znojil2 profiles27 · h 34
- K. G. Zloshchastiev26 · h 18
- P. Leach4 profiles22 · h 15
- S. Pan22 · h 46
- Supriya Pan3 profiles21 · h 14
- Weiqiang Yang2 profiles21 · h 42
- N. Dimakis2 profiles19 · h 21
- A. Giacomini2 profiles13 · h 19
- E. di Valentino10 · h 2
- Austral University of ChileCL111 papers
- Universidad Católica del NorteCL85 papers
- Presidency UniversityIN34 papers
- University of KwaZulu-NatalZA34 papers
- National and Kapodistrian University of AthensGR26 papers
- University of Hradec KrálovéCZ25 papers
- Czech Academy of Sciences, Nuclear Physics InstituteCZ24 papers
- Liaoning Normal UniversityCN22 papers
- National Institute for Theoretical PhysicsZA22 papers
- University of SheffieldGB16 papers
- National Observatory of AthensGR14 papers
- North-West UniversityZA14 papers
26 papers · 1 filter
Construction of maximally non-Hermitian potentials under unbroken PT-symmetry constraint
Miloslav Znojil
A family of discrete Schrödinger equations with imaginary potentials is studied. Inside the domain of unitarity-compatible values of , the reality of all of…
Mutual compatibility/incompatibility of quasi-Hermitian quantum observables
Miloslav Znojil
In the framework of quasi-Hermitian quantum mechanics the eligible operators of observables may be non-Hermitian, , . In principle, the standa…
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…
A reappraisal of Lagrangians with non-quadratic velocity dependence and branched Hamiltonians
Bijan Bagchi, Aritra Ghosh, Miloslav Znojil
Time and again, non-conventional forms of Lagrangians with non-quadratic velocity dependence have found attention in the literature. For one thing, such Lagrangians have deep conne…
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…
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…
Which Metrics Are Consistent with a Given Pseudo-Hermitian Matrix?
Joshua Feinberg, Miloslav Znojil
Given a diagonalizable matrix , whose non-degenerate spectrum consists of pairs of complex conjugate eigenvalues and additional real eigenvalues, we deter…
Periodic solutions from Lie symmetries for the generalized Chen-Lee-Liu equation
Andronikos Paliathanasis
The nonlinear generalized Chen-Lee-Liu 1+1 evolution equation which describes the propagation of an optical pulse inside a monomode fiber is studied by using the method of Lie symm…
Symmetry analysis for the generalized quantum Zakharov-Kuznetsov equation
Andronikos Paliathanasis, P. G. L. Leach
We solve the group classification problem for the generalized quantum Zakharov-Kuznetsov equation. Particularly we consider the generalized equation $u_{t}+f\left( u\right) u…
Lie symmetry analysis and similarity solutions for the Camassa-Choi equations
Andronikos Paliathanasis
The method of Lie symmetry analysis of differential equations is applied to determine exact solutions for the Camassa-Choi equation and its generalization. We prove that the Camass…
Shallow-water equations with complete Coriolis force: Group Properties and Similarity Solutions
Andronikos Paliathanasis
The group properties of the shallow-water equations with the complete Coriolis force is the subject of this study. In particular we apply the Lie theory to classify the system of t…
Integrable and Superintegrable Potentials of 2d Autonomous Conservative Dynamical Systems
Antonios Mitsopoulos, Michael Tsamparlis, Andronikos Paliathanasis
We consider the generic quadratic first integral (QFI) of the form and require the condition . The latte…
Bifurcations of thresholds in essential spectra of elliptic operators under localized non-Hermitian perturbations
D. I. Borisov, D. A. Zezyulin, M. Znojil
We consider the operator subject to the Dirichlet or Robin condition, where a dom…
Lie symmetry analysis and one-dimensional optimal system for the generalized 2+1 Kadomtsev-Petviashvili equation
Andronikos Paliathanasis
We classify the Lie point symmetries for the 2+1 nonlinear generalized Kadomtsev-Petviashvili equation by determine all the possible f(u) functional forms where the latter depends.…
Benney-Lin and Kawahara equations: a detailed study through Lie symmetries and Painlevé analysis
Andronikos Paliathanasis
We perform a detailed study on the integrability of the Benney-Lin and KdV-Kawahara equations by using the Lie symmetry analysis and the singularity analysis. We find that the equa…
Lie symmetries and similarity solutions for rotating shallow water
Andronikos Paliathanasis
We study a nonlinear system of partial differential equations which describe rotating shallow water with an arbitrary constant polytropic index for the fluid. In our analysis w…
Similarity Solutions For The Complex Burgers' Hierarchy
Amlan K Halder, A. Paliathanasis, S. Rangasamy +1
A detailed analysis of the invariant point transformations for the first four partial differential equations which belong to the Complex Burgers` Hierarchy is performed. Moreover,…
Approximate Noether Symmetries and Collineations for Regular Perturbative Lagrangians
Andronikos Paliathanasis, Sameerah Jamal
Regular perturbative Lagrangians that admit approximate Noether symmetries and approximate conservation laws are studied. Specifically, we investigate the connection between approx…
Group invariant transformations for the Klein-Gordon equation in three dimensional flat spaces
Sameerah Jamal, Andronikos Paliathanasis
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)…
Solution of the Master Equation for Quantum Brownian Motion given by the Schrödinger Equation
R. Sinuvasan, A. Paliathanasis, R. M. Morris +1
We consider the master equation of quantum Brownian motion and with the application of the group invariant transformation we show that there exists a surface on which the solution…
Noetherian symmetries of noncentral forces with drag term
A. Ghose-Choudhury, Partha Guha, Andronikos Paliathanasis +1
We consider the Noetherian symmetries of second-order ODEs subjected to forces with nonzero curl. Both position and velocity dependent forces are considered. In the former case the…
Nonlinear Ordinary Differential Equations: A discussion on Symmetries and Singularities
Andronikos Paliathanasis, P. G. L. Leach
Two essential methods, the symmetry analysis and of the singularity analysis, for the study of the integrability of nonlinear ordinary differential equations are discussed. The mai…
Multi-Symplectic Magnetohydrodynamics
G. M. Webb, J. F. McKenzie, G. P. Zank
A multi-symplectic formulation of ideal magnetohydrodynamics (MHD) is developed based on a Clebsch variable variational principle in which the Lagrangian consists of the kinetic mi…