29 citations · 92 across the 10 of their papers we have counts for
4 papers · 1 filter
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…
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…