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 two-dimensional 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, 14776-14790.
 
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 KdV-Burgers equations with time-dependent 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, 264-275.
 
K. Charalambous and C.Sophocleous, 2019 "On a sequence of higher-order nonlinear diffusion-convection equations", Journal of Physics: Conference Series 1194, paper 012047.
 
S. Kontogiorgis, R.O. Popovych and C. Sophocleous, 2019 "Enhanced symmetry analysis of two-dimensional Burgers system", Acta Applicandae Mathematicae, 163, 91-128.
 
K. Charalambous and C. Sophocleous, 2018 "Lie Symmetry Analysis of a Third-Order Equation Arising from a General Class of Lotka–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 Calogero-Degasperis 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, 1331-1343.
 
S. Kontogiorgis and C. Sophocleous, 2018 "Lie symmetry analysis of Burgers-type systems", Mathematical Methods in the Applied Sciences, 41, 1197-1213.
 
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, 1098-1111.
 
M.A. Christou, N.C. Papanicolaou, C. Sophocleous and C.I.Christov, 2017 The Christov-Galerkin 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, 1619-1636.
 
S. Kontogiorgis and C. Sophocleous, 2017 "Group classification of systems of diffusion equations", Mathematical Methods in the Applied Sciences, 40, 1746-1756.
 
O. Vaneeva, S. Posta and C. Sophocleous, 2017 "Enhanced group classification of Benjamin--Bona--Mahony--Burgers equations", Applied Mathematics Letters, 65, 19-25.
 
O. Vaneeva, Yu. Karadzhov and C. Sophocleous, 2016 "Group analysis of a class of non-linear 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 Benjamin-Bona-Mahony 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 Time-dependent Parameters", Mathematical Methods in the Applied Sciences, 38, 4448-4460.
 
O. Vaneeva, O. Kuriksha and C. Sophocleous, 2015 "Enhanced group classification of Gardner equations with time-dependent coefficients", Communications in Nonlinear Science and Numerical Simulation, 22, 1243-1251.
 
K. Charalambous and C. Sophocleous, 2015 "Symmetry Analysis for a Class of Nonlinear Dispersive Equations", Communications in Nonlinear Science and Numerical Simulation, 22, 1275-1287.
 
O.O.Vaneeva, C. Sophocleous and P.G.L. Leach, 2015 "Lie symmetries of generalized Burgers equations: application to boundary-value problems", Journal of Engineering Mathematics, 91, 165--176.
 
C.Tsaousi, R.Tracina and C.Sophocleous, 2015 "Differential invariants for third-order evolution equations", Communications in Nonlinear Science and Numerical Simulation, 20, 352--359.
 
K. Charalambous, O. Vaneeva and C. Sophocleous, 2014 "Group classification of variable coefficient $K(m,n)$ equations", J. Geom. Symmetry Phys., 33, 79--90.
 
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, 3074--3085.
 
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, 1949-1958.
 
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, 2367-2373.
 
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, 67-75. ERRATUM: 91, 215--216, 2015.
 
K. Charalambous and C. Sophocleous, 2013 "Symmetry Properties for a Generalised Thin Film Equation", Journal of Engineering Mathematics, 82, 109-124.
 
O.O.Vaneeva, R.O.Popovych and C.Sophocleous, 2013 "Group Classification of the Fisher Equation with Time-Dependent Coefficients", Proceedings of the 6th workshop "Group Analysis of Differential Equations & Integrability", 225-236.
 
O.O. Vaneeva, R.O. Popovych and C. Sophocleous, 2012 "Extended Group Analysis of Variable Coefficient Reaction--Diffusion Equations with Exponential Nonlinearities", Journal of Mathematical Analysis and Applications, 396, 225--242.
 
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, 3673-3681.
 
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).