29 citations · 80 across the 14 of their papers we have counts for
14 papers
Symmetries of Ricci Flows
Enrique López, Stylianos Dimas, Yuri Bozhkov
In the present work we find the Lie point symmetries of the Ricci flow on an -dimensional manifold. and we introduce a method in order to reutilize these symmetries to obtain th…
Conservation laws for the Kudryashov-Sinelshchikov equation of second order
Yuri Dimitrov Bozhkov, Stylianos Dimas, Oscar Mario Londoño Duque
We establish conservation laws for the second order Kudryashov-Sinelshchikov equation, which models pressure waves in liquid with bubbles. For this purpose we use the method of Nai…
Enhanced group analysis of a semi-linear general bond-pricing equation
Y. Bozhkov, S. Dimas
The enhanced group classification of a semi-linear generalization of a general bond-pricing equation is carried out by employing the underlying equivalence and additional equivalen…
Group Classification of a generalization of the Heath Equation
Y. Bozhkov, S. Dimas
The complete group classification of a generalization of the Heath model is carried out by connecting it to the heat equation with nonlinear source. Examples of invariant solutions…
Group Classification of a Generalized Black--Scholes--Merton Equation
Yuri Bozhkov, Stylianos Dimas
The complete group classification of a generalization of the Black-Scholes-Merton model is carried out by making use of the underlying equivalence and additional equivalence transf…
Group Classification and Conservation Laws for a two-dimensional Generalized Kuramoto-Sivashinsky Equation
S. Dimas, Y. Bozhkov
The two-dimensional anisotropic Kuramoto-Sivashinsky equation is a forth-order nonlinear evolution equation in two spatial dimensions that arises in sputter erosion and epitaxial g…