126 citations · 433 across the 47 of their papers we have counts for
5 papers · 1 filter
Modified method of simplest equation and exact traveling wave solutions of a hyperbolic reaction-diffusion equation
I. P. Jordanov, Nikolay K. Vitanov
We discuss a class of hyperbolic reaction-diffusion equations and apply the modified method of simplest equation in order to obtain an exact solution of an equation of this class (…
Discrete-time model for a substance motion in a channel of a network. Application to a human migration channel
Nikolay K. Vitanov, Kaloyan N. Vitanov
We discuss a discrete-time model for motion of substance in a channel of a network. For the case of stationary motion of the substance and for the case of time-independent values o…
On a flow of substance in a channel of network that contains a main arm and two branches
Nikolay K. Vitanov, Roumen Borisov
We study the motion of a substance in a channel that is part of a network. The channel has 3 arms and consists of nodes of the network and edges that connect the nodes and form way…
Model of a motion of substance in a channel of a network consisting of two arms
Nikolay K. Vitanov, Roumen Borissov
We study the problem of the motion of substance in a channel of a network for the case of channel having two arms. Stationary regime of the flow of the substance is considered. Ana…
On the modified method of simplest equation and the nonlinear Schrödinger equation
Nikolay K. Vitanov, Zlatinka I. Dimitrova
We consider an extension of the methodology of the modified method of simplest equation to the case of use of two simplest equations. The extended methodology is applied for obtain…