Browsing by Author "Vaneeva, Olena O."
Now showing items 1-16 of 16
-
Article
Conservation laws and hierarchies of potential symmetries for certain diffusion equations
Ivanova, Nataliya M.; Popovych, R. O.; Sophocleous, Christodoulos; Vaneeva, Olena O. (2009)We show that the so-called hidden potential symmetries considered in a recent paper [M.L. Gandarias, New potential symmetries for some evolution equations, Physica A 387 (2008) 2234-2242] are ordinary potential symmetries ...
-
Article
Enhanced group analysis and conservation laws of variable coefficient reaction-diffusion equations with power nonlinearities
Vaneeva, Olena O.; Johnpillai, A. G.; Popovych, R. O.; Sophocleous, Christodoulos (2007)A class of variable coefficient (1 + 1)-dimensional nonlinear reaction-diffusion equations of the general form f (x) ut = (g (x) un ux)x + h (x) um is investigated. Different kinds of equivalence groups are constructed ...
-
Article
Enhanced group analysis and exact solutions of variable coefficient semilinear diffusion equations with a power source
Vaneeva, Olena O.; Popovych, R. O.; Sophocleous, Christodoulos (2009)A new approach to group classification problems and more general investigations on transformational properties of classes of differential equations is proposed. It is based on mappings between classes of differential ...
-
Article
Enhanced group classification of Benjamin–Bona–Mahony–Burgers equations
Vaneeva, Olena O.; Pošta, Severin; Sophocleous, Christodoulos (2017)A class of the Benjamin–Bona–Mahony–Burgers (BBMB) equations with time-dependent coefficients is investigated with the Lie symmetry point of view. The set of admissible transformations of the class is described exhaustively. ...
-
Article
Enhanced group classification of Gardner equations with time-dependent coefficients
Vaneeva, Olena O.; Kuriksha, O.; Sophocleous, Christodoulos (2015)We classify the Lie symmetries of variable coefficient Gardner equations (called also the combined KdV-mKdV equations). In contrast to the particular results presented in Molati and Ramollo (2012) we perform the exhaustive ...
-
Article
Equivalence transformations in the study of integrability
Vaneeva, Olena O.; O Popovych, R.; Sophocleous, Christodoulos (2014)We discuss how point transformations can be used for the study of integrability, in particular, for deriving classes of integrable variable-coefficient differential equations. The procedure of finding the equivalence ...
-
Article
Exact solutions of a remarkable fin equation
Popovych, R. O.; Sophocleous, Christodoulos; Vaneeva, Olena O. (2008)A model 'remarkable' fin equation is singled out from a class of nonlinear (1 + 1)-dimensional fin equations. For this equation a number of exact solutions are constructed by means of using both the classical Lie algorithm ...
-
Article
Extended group analysis of variable coefficient reaction-diffusion equations with exponential nonlinearities
Vaneeva, Olena O.; Popovych, R. O.; Sophocleous, Christodoulos (2012)The group classification of a class of variable coefficient reaction-diffusion equations with exponential nonlinearities is carried out up to both the equivalence generated by the corresponding generalized equivalence group ...
-
Conference Object
Group analysis of a class of nonlinear Kolmogorov equations
Vaneeva, Olena O.; Karadzhov, Y.; Sophocleous, Christodoulos (Springer New York LLC, 2016)A class of (1+2)-dimensional diffusion-convection equations (nonlinear Kolmogorov equations) with time-dependent coefficients is studied with Lie symmetry point of view. The complete group classification is achieved using ...
-
Article
Group analysis of Benjamin - Bona - Mahony equations with time dependent coefficients
Vaneeva, Olena O.; Popovych, R. O.; Sophocleous, Christodoulos (2015)Group classification of a class of Benjamin-Bona-Mahony (BBM) equations with time dependent coefficients is carried out. Two equivalent lists of equations possessing Lie symmetry extensions are presented: up to point ...
-
Article
Group analysis of Benjamin—Bona—Mahony equations with time dependent coefficients
Vaneeva, Olena O.; Popovych, Roman O.; Sophocleous, Christodoulos (2015)
-
Article
Group analysis of nonlinear fin equations
Vaneeva, Olena O.; Johnpillai, A. G.; Popovych, R. O.; Sophocleous, Christodoulos (2008)Group classification of a class of nonlinear fin equations is carried out exhaustively. Additional equivalence transformations and conditional equivalence groups are also found. These enable us to simplify the classification ...
-
Article
Group classification of variable coefficient K(m,n) equations
Charalambous, Kyriakos; Vaneeva, Olena O.; Sophocleous, Christodoulos (2014)Lie symmetries of K (m n ) equations with time-dependent coefficients ate classified Group classification is presented up to widest possible equivalence groups the usuil equivalence group of the whole class for the general ...
-
Article
Lie symmetries of generalized Burgers equations: application to boundary-value problems
Vaneeva, Olena O.; Sophocleous, Christodoulos; Leach, Peter G. L. (2015)There exist several approaches exploiting Lie symmetries in the reduction of boundary-value problems for partial differential equations modelling real-world phenomena to those problems for ordinary differential equations. ...
-
Article
Numerical solutions of boundary value problems for variable coefficient generalized KdV equations using Lie symmetries
Vaneeva, Olena O.; Papanicolaou, N. C.; Christou, Marios Andreas; Sophocleous, Christodoulos (2014)The exhaustive group classification of a class of variable coefficient generalized KdV equations is presented, which completes and enhances results existing in the literature. Lie symmetries are used for solving an initial ...
-
Article
Seventh international workshop: Group analysis of differential equations and integrable systems (GADEISVII) olena vaneeva
Vaneeva, Olena O.; Sophocleous, Christodoulos; Popovych, R.; Boyko, V.; Damianou, Pantelis A. (2015)