126 citations · 161 across the 24 of their papers we have counts for
24 papers
Five Specific Cases of the Simple Equations Method (SEsM)
Zlatinka I. Dimitrova
We discuss the Simple Equations Method (SEsM) for obtaining exact solutions of nonlinear partial differential equations. We show that the Jacobi Elliptic Function Expansion Method,…
Several Examples of Application of the Simple Equations Method (SEsM) for Obtaining Exact Solutions of Nonlinear PDEs
Zlatinka I. Dimitrova
We apply the Simple Equations Method (SEsM) for obtaining exact solutions of nonlinear differential equations. We discuss several examples with goal to illustrate the results from…
On the mathematical theory of news waves
Nikolay K. Vitanov, Zlatinka I. Dimitrova, Kaloyan N. Vitanov
We discuss the spread of a piece of news in a population. This is modeled by SIR model of epidemic spread. The model can be reduced to a nonlinear differential equation for the num…
Probability distribution connected to stationary flow of substance in a channel of network containing finite number of arms
Roumen Borisov, Zlatinka I. Dimitrova, Nikolay K. Vitanov
We discuss a channel consisting of nodes of a network and lines which connect these nodes and form ways for motion of a substance through the channel. We study stationary flow of s…
Simple equations method (SEsM) and some of its numerous particular cases
Nikolay K. Vitanov, Zlatinka I. Dimitrova
We discuss a new version of a method for obtaining exact solutions of nonlinear partial differential equations. We call this method the Simple Equations Method (SEsM). The method i…
Simple Equations methodology (SEsM) for searching of multisolitons and other exact solutions of nonlinear partial differential equations
Nikolay K. Vitanov, Zlatinka I. Dimitrova
We discuss a version the methodology for obtaining exact solutions of nonlinear partial differential equations based on the possibility for use of: (i) more than one simplest equat…