3 citations · 4 across the 4 of their papers we have counts for
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nlin.SI2017
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…
nlin.SI2017
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…
nlin.SI2016★ 1 cited
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…