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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…