7 citations · 11 across the 2 of their papers we have counts for
3 papers
Analytical description of the coherent structures within the hyperbolic generalization of Burgers equation
V. A. Vladimirov, E. V. Kutafina
We present new periodic, kink-like and soliton-like travelling wave solutions to the hyperbolic generalization of Burgers equation. To obtain them, we employ the classical and gene…
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…