29 citations · 92 across the 10 of their papers we have counts for
10 papers
Classical Symmetries and Painleve Analysis for the (1+3) Kudryashov-Sinelshchikov Equation
Amlan K Halder, Rajeswari Seshadri, A Paliathanasis +1
The integrability of the Kudryashov-Sinelshchikov equation in (1+3) dimension is detected using its point symmetries and the Singularity analysis method. The symmetries mostly poin…
New analytic solutions in -Cosmology from Painlevé analysis
Genly Leon, A. Paliathanasis, P. G. L. Leach
Using the singularity analysis, we investigate the integrability properties and existence of analytic solutions in -cosmology. Specifically, for some power-law $f…
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…
Singularity analysis and analytic solutions for the Benney-Gjevik equations
Andronikos Paliathanasis, Genly Leon, P. G. L. Leach
We apply the Painlevé Test for the Benney and the Benney-Gjevik equations which describe waves in falling liquids. We prove that these two nonlinear 1+1 evolution equations pass th…
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…
Analytical solutions in cosmology from singularity analysis
Andronikos Paliathanasis, P. G. L. Leach
The integrability of higher-order theories of gravity is of importance in the determining the properties of these models and so their viability as models of reality. An important t…
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…
Lie symmetries of (1+2) nonautonomous evolution equations in Financial Mathematics
A. Paliathanasis, R. M. Morris, P. G. L. Leach
We analyse two classes of evolution equations which are of special interest in Financial Mathematics, namely the Two-dimensional Black-Scholes Equation and the equation for…
Lie Symmetry Analysis of the Black-Scholes-Merton Model for European Options with Stochastic Volatility
A. Paliathanasis, K. Krishnakumar, K. M. Tamizhmani +1
We perform a classification of the Lie point symmetries for the Black--Scholes--Merton Model for European options with stochastic volatility, , in which the last is defined by a…