
S. Kontogiorgis, R.O. Popovych and C. Sophocleous, 2019
"Enhanced symmetry analysis of twodimensional Burgers system",
Acta Applicandae Mathematicae, , .
K. Charalambous and C. Sophocleous, 2018 "Lie Symmetry Analysis of a ThirdOrder 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 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).
C.Sophocleous, J.G. O'Hara and P.G.L. Leach, 2011
"Symmetry analysis of a model of Stochastic Volatility with timedependent parameters",
Journal of Computational and Applied Mathematics, 235, 41584164.
M.A.Christou and C.Sophocleous, 2011 "Numerical similarity reductions of the
$(1+3)$dimensional Burgers equation", Applied Mathematics and Computation, 217, 74557461.
N.M.Ivanova and C.Sophocleous, 2011 "On nonclassical symmetries of generalized Huxley equations",
Proceedings of the 5th workshop "Group Analysis of
Differential Equations & Integrability", 9198.
P.G.L.Leach and C.Sophocleous, 2011 "Lie symmetries and certain equations of Financial Mathematics",
Proceedings of the 5th workshop "Group Analysis of
Differential Equations & Integrability", 120132.
O.O.Vaneeva, R.O.Popovych and C.Sophocleous, 2011 "Reduction Operators of Variable Coefficient Semilinear
Diffusion Equations with a Power Source", Proceedings of the 5th workshop "Group Analysis of
Differential Equations & Integrability", 207219.
C.Sophocleous, J.G. O'Hara and P.G.L. Leach, 2011
"Algebraic Solution of the SteinStein Model for Stochastic Volatility",
Communications in Nonlinear Science and Numerical Simulations, 16, 17521759.
C.Sophocleous and P.G.L. Leach, 2010
"Algebraic Aspects of Evolution Partial Differential Equations Arising in Financial Mathematics",
Applied Mathematics and Information Sciences, 4, 289305.
N.M.Ivanova, C.Sophocleous and P.G.L. Leach, 2010
"Group Classification of a Class of Equations Arising in Financial Mathematics",
Journal of Mathematical Analysis and Applications, 372, 273286.
N.M.Ivanova, R.O.Popovych and C.Sophocleous, 2010
"Group Analysis of
Variable Coefficient DiffusionConvection Equations. I. Enhanced Group Classification",
Lobachevsky Journal of Mathematics 31, 100122.
N.M.Ivanova, C.Sophocleous and R.Tracina, 2010
"Lie Group Analysis of TwoDimensional VariableCoefficient Burgers Equation",
Zeitschrift fur Angewandte Mathematik und Physik (ZAMP) 31, 793809.
C.Tsaousi and C.Sophocleous, 2010
"Differential invariants for systems of linear hyperbolic equations",
Journal of Mathematical Analysis and Applications, 363, 238248.
R.Tracina, N.M.Ivanova and C.Sophocleous, 2010 "Group classification of threedimensional
variablecoefficient Burgers equation",
in "Proceedings of the 15th Conference on WASCOM 2009", 224229.
O.O.Vaneeva, R.O.Popovych and C.Sophocleous, 2009 "Reduction Operators of Variable Coefficient Semilinear
Diffusion Equations with a Power Source", Proceedings of the 4th workshop "Group Analysis of
Differential Equations & Integrability", 191209.
O.O.Vaneeva, R.O.Popovych and C.Sophocleous, 2009 "Enhanced Group Analysis and Exact Solutions of Variable Coefficient
Semilinear Diffusion Equations with a Power Source", Acta Applicandae Mathematicae, 106, 146.
M.A.Christou, N.M.Ivanova and C.Sophocleous, 2009 "Similarity reductions of the
$(1+3)$dimensional Burgers equation", Applied Mathematics and Computation, 210, 8799.
N.M.Ivanova, R.O.Popovych, C.Sophocleous and O.O.Vaneeva, 2009
"Conservation laws and hierarchies of potential symmetries for certain diffusion equations", Physica A,
388, 343356.
C.Tsaousi, C.Sophocleous and R.Tracina, 2009 "Invariants of two and
three dimensional hyperbolic equations", Journal of Mathematical Analysis and Applications, 349, 516525.
E.Demetriou, N.M.Ivanova and C.Sophocleous, 2008 "Group analysis of (2+1) and (3+1)dimensional diffusionconvection
equations", Journal of Mathematical Analysis and Applications, 348, 5565.
R.Tracina and C.Sophocleous, "Equivalence transformations and differential invariants for generalized wave equations",
in "Proceedings of the 14th Conference on WASCOM 2007", pp. 570575, 2008.
E.Demetriou, N.M.Ivanova and C.Sophocleous, "LIE GROUP CLASSIFICATION OF SYSTEMS OF
DIFFUSION EQUATIONS", Proceedings of the 2nd Conference on Nonlinear Science and Complexity,
Porto, Portugal, July 2831, 2008.
C.Tsaousi and C.Sophocleous, "DIFFERENTIAL INVARIANTS OF NDIMENSIONAL
WAVETYPE EQUATIONS", Proceedings of the 2nd Conference on Nonlinear Science and Complexity,
Porto, Portugal, July 2831, 2008.
N.M.Ivanova and C.Sophocleous, 2008
"Conservation laws and potential symmetries of systems of diffusion equations", Journal of Physics A:
Mathematical and Theoretical, 41, 235201 (14pp).
C.Sophocleous and R.Tracina, 2008 "Differential Invariants for quasilinear and semilinear wavetype equations",
Applied Mathematics and Computation,
202, 216228.
M.A.Christou, C.Sophocleous and C.I.Christov, 2008 "Numerical investigation of the
nonlinear heat diffusion equation with high nonlinearity on the boundary", Applied Mathematics and Computation,
201, 729738.
C.Sophocleous, P.G.L.Leach and K.Andriopoulos, 2008
``Algebraic Properties of Evolution Partial Differential Equations Modelling Prices of Commodities'',
Mathematical Methods in the Applied Sciences, 31, 679694.
C.Tsaousi and C.Sophocleous, 2008 ``On Linearization of Hyperbolic Equations using
Differential Invariants'', Journal of Mathematical Analysis and Applications, 339, 762773.
O.O.Vaneeva, A.G.Johnpillai, R.O.Popovych and C.Sophocleous, 2008
``Group Analysis of Nonlinear Fin Equations'', Applied Mathematics Letters, 21, 248253.
R.O.Popovych, C.Sophocleous and O.O.Vaneeva, 2008
``Exact Solutions of a Remarkable Fin Equation'', Applied Mathematics Letters, 21, 209214.

