126 citations · 161 across the 24 of their papers we have counts for
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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…
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…
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…
Solitary wave solutions of nonlinear partial differential equations based on the simplest equation for the function
Nikolay K. Vitanov, Zlatinka I. Dimitrova, Tsvetelina I. Ivanova
The method of simplest equation is applied for obtaining exact solitary traveling-wave solutions of nonlinear partial differential equations that contain monomials of odd and even…