
S. Kontogiorgis and C. Sophocleous, 2022
"Lie symmetries and the constant elasticity of variance (CEV) model",
Partial Differential Equations in Applied Mathematics 5, paper no 100290.
O.O. Vaneeva, R.O. Popovych and C. Sophocleous, 2021
"Enhanced symmetry analysis of twodimensional degenerate Burgers equation",
Journal of Geometry and Physics 169, article no 104336.
K. Charalambous and C.Sophocleous, 2021
"Special transformation properties for certain equations with applications in Plasma Physics",
Mathematical Methods in the Applied Sciences 44, 1477614790.
K. Charalambous, S. Kontogiorgis and C.Sophocleous, 2021
"The Lie symmetry approach on (1+2)dimensional financial models",
Partial Differential Equations and Applications 2, article number 57.
K. Charalambous and C.Sophocleous, 2020
"Lie Group Classification for a class of Compound KdVBurgers equations with timedependent coefficients",
International Journal of Applied and Computational Mathematics 6, paper no 176.
M.A. Christou, N.C. Papanicolaou and C. Sophocleous, 2020
"An efficient and highly accurate spectral method for modeling the propagation of solitary magnetic spin waves in thin films",
Computational and Applied Mathematics, 39, paper no 205.
O. Vaneeva, V. Boyko, A. Zhalij and C. Sophocleous, 2019
"On the simplification of the form of Lie transformation groups admitted by systems of evolution differential equations",
Journal of Mathematical Analysis and Applications, 474, 264275.
K. Charalambous and C.Sophocleous, 2019
"On a sequence of higherorder nonlinear diffusionconvection equations",
Journal of Physics: Conference Series 1194, paper 012047.
S. Kontogiorgis, R.O. Popovych and C. Sophocleous, 2019
"Enhanced symmetry analysis of twodimensional Burgers system",
Acta Applicandae Mathematicae, 163, 91128.
K. Charalambous and C. Sophocleous, 2018 "Lie Symmetry Analysis of a ThirdOrder Equation Arising from a General Class of LotkaÂ–Volterra Chains",
V. Dobrev (ed.), Springer Proc. Math. Stat. Vol. 263. "Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 1",
Springer.
C. Sophocleous and R. Tracina, 2018
"Lie symmetry analysis of a variable coefficient CalogeroDegasperis equation",
Physica Scripta, 93, paper 105202.
K. Charalambous and C. Sophocleous, 2018
"Lie symmetries of a system arising in Plasma Physics",
Mathematical Methods in the Applied Sciences, 41, 13311343.
S. Kontogiorgis and C. Sophocleous, 2018
"Lie symmetry analysis of Burgerstype systems",
Mathematical Methods in the Applied Sciences, 41, 11971213.
M.A. Christou, N.C. Papanicolaou and C. Sophocleous, 2018
Numerical Similarity Solution for a Variable Coefficient $K(m,n)$ Equation,
Computational and Applied Mathematics, 37, 10981111.
M.A. Christou, N.C. Papanicolaou, C. Sophocleous and C.I.Christov, 2017
The ChristovGalerkin spectral method in complex arithmetics,
AIP Conference Proceedings , 1895, paper 120003.
S. Kontogiorgis and C. Sophocleous, 2017
"On the simplification of the form of Lie transformation groups admitted by systems of evolution differential equations",
Journal of Mathematical Analysis and Applications, 449, 16191636.
S. Kontogiorgis and C. Sophocleous, 2017
"Group classification of systems of diffusion equations",
Mathematical Methods in the Applied Sciences, 40, 17461756.
O. Vaneeva, S. Posta and C. Sophocleous, 2017
"Enhanced group classification of BenjaminBonaMahonyBurgers equations",
Applied Mathematics Letters, 65, 1925.
O. Vaneeva, Yu. Karadzhov and C. Sophocleous, 2016 "Group analysis of a class of nonlinear Kolmogorov equations", V. Dobrev (ed.),
Springer Proc. Math. Stat. Vol. 191. XI International Workshop Lie Theory and Its Application in Physics", Springer.
O.O.Vaneeva, R.O.Popovych and C.Sophocleous, 2015
"Group analysis of BenjaminBonaMahony equations with time dependent coefficients",
Journal of Physics: Conference Series 621, paper 012016.
C.Tsaousi, R.Tracina and C.Sophocleous, 2015 "Laplace type invariants for variable coefficient mKdV equations",
Journal of Physics: Conference Series, 621, paper 012015.
K. Charalambous, C. Sophocleous, J.G. O'Hara and P.G.L. Leach, 2015 "A Deductive Approach to the Solution of the Problem of
Optimal Pairs Trading from the Viewpoint of Stochastic Control with Timedependent Parameters",
Mathematical Methods in the Applied Sciences, 38, 44484460.
O. Vaneeva, O. Kuriksha and C. Sophocleous, 2015
"Enhanced group classification of Gardner equations with timedependent coefficients",
Communications in Nonlinear Science and Numerical Simulation, 22, 12431251.
K. Charalambous and C. Sophocleous, 2015
"Symmetry Analysis for a Class of Nonlinear Dispersive Equations",
Communications in Nonlinear Science and Numerical Simulation, 22, 12751287.
O.O.Vaneeva, C. Sophocleous and P.G.L. Leach, 2015 "Lie symmetries of generalized Burgers equations: application to boundaryvalue problems",
Journal of Engineering Mathematics, 91, 165176.
C.Tsaousi, R.Tracina and C.Sophocleous, 2015
"Differential invariants for thirdorder evolution equations",
Communications in Nonlinear Science and Numerical Simulation, 20, 352359.
K. Charalambous, O. Vaneeva and C. Sophocleous, 2014 "Group classification of variable coefficient $K(m,n)$ equations",
J. Geom. Symmetry Phys., 33, 7990.
O.O.Vaneeva, R.O.Popovych and C.Sophocleous, 2014 "Equivalence transformations in the study of integrability",
Physica Scripta, 89, paper 038003.
O.O.Vaneeva, N.C.Papanicolaou, M.A.Christou and C.Sophocleous, 2014
"Numerical solutions of boundary value problems for variable coefficient generalized KdV equations using Lie symmetries",
Communications in Nonlinear Science and Numerical Simulation, 19, 30743085.
K. Charalambous, C. Sophocleous and P.G.L. Leach, 2013 "Symmetry and Singularity Analyses of Some Equations of the
Fifth and Sixth Order in the Spatial Variable Arising from the Modelling of Thin Films",
Communications in Nonlinear Science and Numerical Simulation, 18, 19491958.
J.G. O'Hara, C. Sophocleous and P.G.L. Leach, 2013 "Symmetry Analysis of a Model for the Exercise of a Barrier Option",
Communications in Nonlinear Science and Numerical Simulation, 18, 23672373.
J.G. O'Hara, C. Sophocleous and P.G.L. Leach, 2013 "The Application of Lie Point Symmetries to the Resolution of
Certain Problems in Financial Mathematics with a Terminal Condition",
Journal of Engineering Mathematics, 82, 6775. ERRATUM: 91, 215216, 2015.
K. Charalambous and C. Sophocleous, 2013 "Symmetry Properties for a Generalised Thin Film Equation",
Journal of Engineering Mathematics, 82, 109124.
O.O.Vaneeva, R.O.Popovych and C.Sophocleous, 2013 "Group Classification of the Fisher Equation
with TimeDependent Coefficients",
Proceedings of the 6th workshop "Group Analysis of
Differential Equations & Integrability", 225236.
O.O. Vaneeva, R.O. Popovych and C. Sophocleous, 2012 "Extended Group Analysis of Variable Coefficient
ReactionDiffusion Equations
with Exponential Nonlinearities", Journal of Mathematical Analysis and Applications, 396, 225242.
C.Tsaousi, C.Sophocleous and R.Tracina, 2012 "On the invariants of two dimensional linear parabolic equations",
Communications in Nonlinear Science and Numerical Simulation, 17, 36733681.
C.Sophocleous and P.G.L. Leach, 2012
"Thin films: Increasing the complexity of the model",
International Journal of Bifurcation and Chaos, 22, paper 1250212 (11 pages).

