Simple Equations Method (SEsM): An effective algorithm for obtaining exact solutions of nonlinear differential equations
NK Vitanov - Entropy, 2022 - mdpi.com
Exact solutions of nonlinear differential equations are of great importance to the theory and
practice of complex systems. The main point of this review article is to discuss a specific …
practice of complex systems. The main point of this review article is to discuss a specific …
Simple equations method (SEsM): Review and new results
NK Vitanov - AIP Conference Proceedings, 2022 - pubs.aip.org
We discuss the Simple Equations Method (SEsM) for obtaining exact solutions of nonlinear
partial differential equations. We show that specific case of SEsM can be used in order to …
partial differential equations. We show that specific case of SEsM can be used in order to …
Solving Fractional‐Order Diffusion Equations in a Plasma and Fluids via a Novel Transform
Motivated by the importance of diffusion equations in many physical situations in general
and in plasma physics in particular, therefore, in this study, we try to find some novel …
and in plasma physics in particular, therefore, in this study, we try to find some novel …
Simple equations method (SEsM): Algorithm, connection with Hirota method, inverse scattering transform method, and several other methods
The goal of this article is to discuss the Simple Equations Method (SEsM) for obtaining exact
solutions of nonlinear partial differential equations and to show that several well-known …
solutions of nonlinear partial differential equations and to show that several well-known …
Modified method of simplest equation for obtaining exact analytical solutions of nonlinear partial differential equations: further development of the methodology with …
We discuss the application of a variant of the method of simplest equation for obtaining exact
traveling wave solutions of a class of nonlinear partial differential equations containing …
traveling wave solutions of a class of nonlinear partial differential equations containing …
On modified method of simplest equation for obtaining exact and approximate solutions of nonlinear PDEs: the role of the simplest equation
NK Vitanov - Communications in Nonlinear Science and Numerical …, 2011 - Elsevier
The modified method of simplest equation is powerful tool for obtaining exact and
approximate solutions of nonlinear PDEs. These solutions are constructed on the basis of …
approximate solutions of nonlinear PDEs. These solutions are constructed on the basis of …
[BUCH][B] Econophysics and physical economics
P Richmond, J Mimkes, S Hutzler - 2013 - books.google.com
An understanding of the behaviour of financial assets and the evolution of economies has
never been as important as today. This book looks at these complex systems from the …
never been as important as today. This book looks at these complex systems from the …
Knowledge epidemics and population dynamics models for describing idea diffusion
The diffusion of ideas is often closely connected to the creation and diffusion of knowledge
and to the technological evolution of society. Because of this, knowledge creation, exchange …
and to the technological evolution of society. Because of this, knowledge creation, exchange …
Simple Equations Method and non-linear differential equations with non-polynomial non-linearity
We discuss the application of the Simple Equations Method (SEsM) for obtaining exact
solutions of non-linear differential equations to several cases of equations containing non …
solutions of non-linear differential equations to several cases of equations containing non …
On the use of composite functions in the Simple Equations Method to obtain exact solutions of nonlinear differential equations
We discuss the Simple Equations Method (SEsM) for obtaining exact solutions of a class of
nonlinear differential equations containing polynomial nonlinearities. We present an …
nonlinear differential equations containing polynomial nonlinearities. We present an …