10 citations · 19 across the 5 of their papers we have counts for
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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…
Mathematical modelling for the transmission of dengue: symmetry and traveling wave analysis
Felipo Bacani, Stylianos Dimas, Igor Leite Freire +2
In this paper we propose some mathematical models for the transmission of dengue using a system of reaction-diffusion equations. The mosquitoes are divided into infected, uninfecte…
Study of a fifth order PDE using symmetries
Stylianos Dimas, Igor Leite Freire
We study a family of PDEs, which was derived as an approximation of an extended Lotka-Volterra system, from the point of view of symmetries. Also, by performing the self adjoint cl…
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 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…