C. Sophocleous

发表

On nonclassical symmetries of generalized Huxley equations

N. M. Ivanova, C. Sophocleous, 2010, 1010.2388.

Reduction operators of variable coefficient semilinear diffusion equations with an exponential source

C. Sophocleous, O. Vaneeva, R. Popovych, 2009, 1010.2046.

Enhanced group analysis and conservation laws of variable coefficient reaction–diffusion equations with power nonlinearities

O. O. Vaneeva, C. Sophocleous, A. G. Johnpillai, 2007 .

Group Analysis of Variable Coefficient Diffusion-Convection Equations. II. Contractions and Exact Solutions

C. Sophocleous, N. M. Ivanova, C. Sophocleous, 2007, 0710.3049.

Enhanced Group Analysis and Exact Solutions of Variable Coefficient Semilinear Diffusion Equations with a Power Source

O. O. Vaneeva, C. Sophocleous, C. Sophocleous, 2007, 0708.3457.

Application of Lie point symmetries to the resolution of certain problems in financial mathematics with a terminal condition

C. Sophocleous, J. O'Hara, P. Leach, 2013 .

Pulse collisions and polarisation conversion for optical fibres

C. Sophocleous, D. F. Parker, C. Sophocleous, 1994 .

Enhanced Symmetry Analysis of Two-Dimensional Burgers System

C. Sophocleous, R. Popovych, S. Kontogiorgis, 2017, Acta Applicandae Mathematicae.

A Special Class of Bäcklund Transformations for Certain Nonlinear Partial Differential Equations

C. Sophocleous, 1993 .

A class of Bäcklund transformations for equations of the type uxy=f(u,ux)

C. Sophocleous, J. Kingston, 1991 .

Classification of reduction operators and exact solutions of variable coefficient Newell–Whitehead–Segel equations

Vyacheslav M. Boyko, C. Sophocleous, O. Vaneeva, 2018, Journal of Mathematical Analysis and Applications.

Bäcklund transformations for generalized nonlinear Schrödinger equations

C. Sophocleous, J. Kingston, 1990 .

An efficient and highly accurate spectral method for modeling the propagation of solitary magnetic spin waves in thin films

N. C. Papanicolaou, C. Sophocleous, M. Christou, 2020, Comput. Appl. Math..

Group analysis of nonlinear fin equations

A. G. Johnpillai, C. Sophocleous, O. Vaneeva, 2006, Appl. Math. Lett..

A deductive approach to the solution of the problem of optimal pairs trading from the viewpoint of stochastic control with time‐dependent parameters

C. Sophocleous, P. Leach, J. O'Hara, 2015 .

Linearizing mappings for certain nonlinear diffusion equations

C. Sophocleous, 1998 .

Exact solutions of a remarkable fin equation

C. Sophocleous, O. Vaneeva, R. Popovych, 2006, Appl. Math. Lett..

Application of Lie point symmetries to the resolution of certain problems in financial mathematics with a terminal condition

C. Sophocleous, P. Leach, J. O'Hara, 2013, Journal of Engineering Mathematics.

Enhanced Symmetry Analysis of Two-Dimensional Burgers System

C. Sophocleous, R. Popovych, S. Kontogiorgis, 2018, Acta Applicandae Mathematicae.

Enhanced symmetry analysis of two-dimensional degenerate Burgers equation

C. Sophocleous, O. Vaneeva, R. Popovych, 2019, 1908.01877.

On the form of Lie symmetries of systems with three pdes: The examples of two variable coefficient Hirota Satsuma systems

C. Sophocleous, K. Charalambous, S. Kontogiorgis, 2022, Partial Differential Equations in Applied Mathematics.

On the simplification of the form of Lie transformation groups admitted by systems of evolution differential equations

C. Sophocleous, S. Kontogiorgis, 2017 .

Equivalence transformations in the study of integrability

C. Sophocleous, O. Vaneeva, Roman O Popovych, 2013, 1308.5126.

Extended group analysis of variable coefficient reaction–diffusion equations with exponential nonlinearities

C. Sophocleous, O. Vaneeva, R. Popovych, 2011, 1111.5198.

Group analysis of variable coefficient diffusion-convection equations. I. Enhanced group classification

C. Sophocleous, N. M. Ivanova, C. Sophocleous, 2007, 0710.2731.

Enhanced group analysis and conservation laws of variable coefficient reaction–diffusion equations with power nonlinearities

A. G. Johnpillai, C. Sophocleous, O. Vaneeva, 2006, math-ph/0605081.

On form-preserving point transformations of partial differential equations

Christodoulos Sophocleous, J. G. Kingston, C. Sophocleous, 1998 .

On point transformations of a generalised Burgers equation

C. Sophocleous, J. Kingston, 1991 .

The Toda lattice is super-integrable

C. Sophocleous, M. Agrotis, P. Damianou, 2005, math-ph/0507051.

1 2 0 Ju l 2 00 5 THE TODA LATTICE IS SUPER – INTEGRABLE

C. Sophocleous, M. Agrotis, P. Damianou, 2006 .

Group analysis of (2+1)- and (3+1)-dimensional diffusion–convection equations

N. M. Ivanova, C. Sophocleous, E. Demetriou, 2008 .

ON SHEAR DEFORMABLE BEAM THEORIES: THE FREQUENCY AND NORMAL MODE EQUATIONS OF THE HOMOGENEOUS ORTHOTROPIC BICKFORD BEAM

C. Sophocleous, K. Soldatos, 2001 .

Further transformation properties of generalised inhomogeneous nonlinear diffusion equations with variable coefficients

Christodoulos Sophocleous, C. Sophocleous, 2005 .

Hodograph-type transformations

C. Sophocleous, 2003 .

Classification of potential symmetries of generalised inhomogeneous nonlinear diffusion equations

C. Sophocleous, 2003 .

On the group classification of variable-coefficient nonlinear diffusion-convection equations

N. M. Ivanova, C. Sophocleous, 2006 .

Symmetries and form-preserving transformations of one-dimensional wave equations with dissipation

Christodoulos Sophocleous, J. G. Kingston, C. Sophocleous, 2001 .

Linearisation and potential symmetries of certain systems of diffusion equations

C. Sophocleous, R. Wiltshire, 2006 .

Numerical investigation of the nonlinear heat diffusion equation with high nonlinearity on the boundary

Christodoulos Sophocleous, Christo I. Christov, M. A. Christou, 2008, Appl. Math. Comput..

Lie symmetries and the constant elasticity of variance (CEV) model

C. Sophocleous, S. Kontogiorgis, 2022, Partial Differential Equations in Applied Mathematics.

Symmetry and singularity analyses of some equations of the fifth and sixth order in the spatial variable arising from the modelling of thin films

Kyriakos Charalambous, Christodoulos Sophocleous, P. G. L. Leach, 2013, Commun. Nonlinear Sci. Numer. Simul..

Conservation laws and potential symmetries of systems of diffusion equations

N. M. Ivanova, C. Sophocleous, 2008, 0806.1698.

Conservation laws and potential symmetries for certain evolution equations

N. M. Ivanova, C. Sophocleous, O. Vaneeva, 2008 .

Symmetries and form-preserving transformations of generalised inhomogeneous nonlinear diffusion equations

C. Sophocleous, 2003 .

On point transformations of generalized nonlinear diffusion equations

C. Sophocleous, C. Pallikaros, 1995 .

On symmetries of radially symmetric nonlinear diffusion equations

C. Sophocleous, 1992 .

Classification of Noether Symmetries for Lagrangians with Three Degrees of Freedom

C. Sophocleous, P. Damianou, 2004 .

On linearization of hyperbolic equations using differential invariants

C. Sophocleous, C. Tsaousi, 2008 .

Enhanced Group Analysis of Variable Coefficient Semilinear Diffusion Equations with a Power Source

C. Sophocleous, O. Vaneeva, R. Popovych, 2007 .

Transformation properties of a variable-coefficient Burgers equation

C. Sophocleous, 2004 .

Lie symmetries of generalized Burgers equations: application to boundary-value problems

C. Sophocleous, O. Vaneeva, P. Leach, 2013, 1303.3548.

Lie group analysis of two-dimensional variable-coefficient Burgers equation

N. M. Ivanova, C. Sophocleous, R. Tracinà, 2010 .

Enhanced group classification of Gardner equations with time-dependent coefficients

Christodoulos Sophocleous, Olena Vaneeva, Oksana Kuriksha, 2014, Commun. Nonlinear Sci. Numer. Simul..

Group Analysis of Variable Coefficient Diffusion-Convection Equations. IV. Potential Symmetries

N. M. Ivanova, C. Sophocleous, R. Popovych, 2007, 0710.4251.

Conservation Laws of Variable Coefficient Diffusion-Convection Equations

N. M. Ivanova, C. Sophocleous, R. Popovych, 2005, math-ph/0505015.

Symmetries of Hamiltonian systems with two degrees of freedom

C. Sophocleous, P. Damianou, 1999 .

Noether and master symmetries for the Toda lattice

Christodoulos Sophocleous, Pantelis A. Damianou, C. Sophocleous, 2005, Appl. Math. Lett..

Symmetries for certain coupled nonlinear Schrodinger equations

C. Sophocleous, 1994 .

Lie group analysis and exact solutions of systems of diffusion equations

N. M. Ivanova, C. Sophocleous, 2016 .

Christodoulos Sophocleous, M. A. Christou, C. Sophocleous, 2011, Appl. Math. Comput..

Christodoulos Sophocleous, M. A. Christou, N. M. Ivanova, 2009, Appl. Math. Comput..

Potential symmetries of inhomogeneous nonlinear diffusion equations

C. Sophocleous, 2000, Bulletin of the Australian Mathematical Society.

Potential symmetries of nonlinear diffusion-convection equations

C. Sophocleous, 1996 .

Differential invariants for quasi-linear and semi-linear wave-type equations

R. Tracinà, C. Sophocleous, C. Sophocleous, 2008, Appl. Math. Comput..

On a sequence of higher-order nonlinear diffusion-convection equations

C. Sophocleous, K. Charalambous, 2019, Journal of Physics: Conference Series.

Reduction operators of variable coefficient semilinear diffusion equations with a power source

O. O. Vaneeva, C. Sophocleous, C. Sophocleous, 2009, 0904.3424.

Thin films: Increasing the Complexity of the Model

Peter G. L. Leach, Christodoulos Sophocleous, C. Sophocleous, 2012, Int. J. Bifurc. Chaos.

An efficient and highly accurate spectral method for modeling the propagation of solitary magnetic spin waves in thin films

N. C. Papanicolaou, C. Sophocleous, M. Christou, 2020, Computational and Applied Mathematics.

Special transformation properties for certain equations with applications in Plasma Physics

Christodoulos Sophocleous, Kyriacos Charalambous, C. Sophocleous, 2021, Mathematical Methods in the Applied Sciences.

Lie symmetry analysis of a variable coefficient Calogero–Degasperis equation

C. Sophocleous, R. Tracinà, 2018, Physica Scripta.

Group classification of systems of diffusion equations

C. Sophocleous, S. Kontogiorgis, 2017 .

Group analysis of a class of nonlinear Kolmogorov equations

C. Sophocleous, O. Vaneeva, Yu. A. Karadzhov, 2015, 1509.04481.

Symmetry group classification of three-dimensional Hamiltonian systems

Christodoulos Sophocleous, Pantelis A. Damianou, C. Sophocleous, 2000, Appl. Math. Lett..

N. C. Papanicolaou, C. Sophocleous, M. Christou, 2018 .

Laplace type invariants for variable coefficient mKdV equations

C. Sophocleous, R. Tracinà, C. Tsaousi, 2015 .

Differential invariants for third-order evolution equations

Christodoulos Sophocleous, Rita Tracinà, C. Tsaousi, 2015, Commun. Nonlinear Sci. Numer. Simul..

On the invariants of two dimensional linear parabolic equations

C. Sophocleous, R. Tracinà, C. Tsaousi, 2012 .

Differential invariants for systems of linear hyperbolic equations

C. Sophocleous, C. Tsaousi, 2010 .

Invariants of two- and three-dimensional hyperbolic equations

Christodoulos Sophocleous, Rita Tracinà, C. Sophocleous, 2009 .

Differential invariants of the one-dimensional quasi-linear second-order evolution equation

C. Sophocleous, N. Ibragimov, 2007 .

Lie Symmetry Analysis of a Third-Order Equation Arising from a General Class of Lotka–Volterra Chains

C. Sophocleous, K. Charalambous, 2017 .

Symmetry analysis for a class of nonlinear dispersive equations

Kyriakos Charalambous, Christodoulos Sophocleous, C. Sophocleous, 2015, Commun. Nonlinear Sci. Numer. Simul..

Group classification of variable coefficient K(m,n) equations

C. Sophocleous, O. Vaneeva, K. Charalambous, 2014, 1403.2545.

On the classification of similarity solutions of a two-dimensional diffusion-advection equation

C. Sophocleous, E. Demetriou, M.A. Christou, 2007, Appl. Math. Comput..

Lie Group Classification for a Class of Compound KdV–Burgers Equations with Time-Dependent Coefficients

C. Sophocleous, K. Charalambous, 2020, International Journal of Applied and Computational Mathematics.