6 citations · 10 across the 7 of their papers we have counts for
7 papers
Exact analytical vacuum solutions of -gravity model depending on two variables
Maria Shubina
In this paper we consider the metric power-law -gravity model for the four-dimensional metric tensor depending on two coordinates. We obtain exact analytical vacuum…
Exact solutions in two-dimensional metric -gravity
Maria Shubina
In this paper we consider the two-dimensional metric -gravity model for the metric tensor depending on two variable: time and one spacelike coordinate. We obtain exact analyt…
Exact traveling wave solutions of one-dimensional models of cancer invasion
Maria Shubina
In this paper we consider continuous mathematical models of tumour growth and invasion based on the model introduced by Chaplain and Lolas \cite{Chaplain&Lolas2006}, for the case o…
The system of two parabolic equations as an integrable system
Maria Shubina
In this paper we present a system of two nonlinear partial differential equations of the second order, depending on the time and one spatial coordinate. It can be written as a syst…
Exact traveling wave solutions of 1D parabolic-parabolic models of chemotaxis
Maria Shubina
In this paper we consider three different 1D parabolic-parabolic systems of chemotaxis. For these systems we obtain the exact analytical solutions in terms of traveling wave variab…
Painlevé analysis for two 1D parabolic-parabolic models of chemotaxis; some travelling wave solutions
Maria Shubina
In this paper we study the Painlevé analysis for two models of chemotaxis. We find that in some cases the reductions of these models in terms of travelling wave variable allow exac…
The 1D parabolic-parabolic Patlak-Keller-Segel model of chemotaxis: the particular integrable case and soliton solution
Maria Shubina
In this paper we investigate the one-dimensional parabolic-parabolic Patlak-Keller-Segel model of chemotaxis. For the case when the diffusion coefficient of chemical substance is e…