24 citations · 57 across the 11 of their papers we have counts for
3 papers · 1 filter
Solitary waves in the model of active media, taking into account relaxing effects
Wojciech Likus, Vsevolod A. Vladimirov
We study a system of differential equation simulating transport phenomena in active structured media. The model is a generalization of the McKean s modification of the celebrated F…
Constructing Soliton and Kink Solutions of PDE Models in Transport and Biology
Vsevolod A. Vladimirov, Ekaterina V. Kutafina, Anna Pudelko
We present a review of our recent works directed towards discovery of a periodic, kink-like and soliton-like travelling wave solutions within the models of transport phenomena and…
Exact Travelling Wave Solutions of Some Nonlinear Nonlocal Evolutionary Equations
Vsevolod A. Vladimirov, Ekaterina V. Kutafina
Direct algebraic method of obtaining exact solutions to nonlinear PDE's is applied to certain set of nonlinear nonlocal evolutionary equations, including nonlinear telegraph equati…