Nikolay K. Vitanov

Orcid: 0000-0001-6209-547X

According to our database1, Nikolay K. Vitanov authored at least 27 papers between 2009 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of five.

Timeline

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Bibliography

2024
News Waves: Hard News, Soft News, Fake News, Rumors, News Wavetrains.
Entropy, January, 2024

2023
On the Method of Transformations: Obtaining Solutions of Nonlinear Differential Equations by Means of the Solutions of Simpler Linear or Nonlinear Differential Equations.
Axioms, December, 2023

Computation of the Exact Forms of Waves for a Set of Differential Equations Associated with the SEIR Model of Epidemics.
Comput., June, 2023

Epidemic Waves and Exact Solutions of a Sequence of Nonlinear Differential Equations Connected to the SIR Model of Epidemics.
Entropy, March, 2023

2022
Simple Equations Method (SEsM): An Effective Algorithm for Obtaining Exact Solutions of Nonlinear Differential Equations.
Entropy, November, 2022

2021
Simple Equations Method (SEsM): Algorithm, Connection with Hirota Method, Inverse Scattering Transform Method, and Several Other Methods.
Entropy, 2021

Simple Equations Method and Non-Linear Differential Equations with Non-Polynomial Non-Linearity.
Entropy, 2021

On the Use of Composite Functions in the Simple Equations Method to Obtain Exact Solutions of Nonlinear Differential Equations.
Comput., 2021

Remarks on Dynamics of Research Production of Researchers and Research Organizations.
Proceedings of the Predicting the Dynamics of Research Impact, 2021

2020
On the Motion of Substance in a Channel of a Network: Extended Model and New Classes of Probability Distributions.
Entropy, 2020

On the Possibility of Chaos in a Generalized Model of Three Interacting Sectors.
Entropy, 2020

Statistical Characteristics of Stationary Flow of Substance in a Network Channel Containing Arbitrary Number of Arms.
Entropy, 2020

2017
On solitary wave solutions of a class of nonlinear partial differential equations based on the function 1/coshn(αx+βt).
Appl. Math. Comput., 2017

2016
Box model of migration channels.
Math. Soc. Sci., 2016

2015
Test of two hypotheses explaining the size of populations in a system of cities.
CoRR, 2015

Modified method of simplest equation for obtaining exact analytical solutions of nonlinear partial differential equations: further development of the methodology with applications.
Appl. Math. Comput., 2015

2014
Ranking structures and Rank-Rank Correlations of Countries. The FIFA and UEFA cases.
CoRR, 2014

Population dynamics in presence of state dependent fluctuations.
Comput. Math. Appl., 2014

Solitary wave solutions for nonlinear partial differential equations that contain monomials of odd and even grades with respect to participating derivatives.
Appl. Math. Comput., 2014

2013
Traveling waves and statistical distributions connected to systems of interacting populations.
Comput. Math. Appl., 2013

Dynamical features of the quasi-stationary microRNA-mediated protein translation process supported by eIF4F translation initiation factors.
Comput. Math. Appl., 2013

Application of the method of simplest equation for obtaining exact traveling-wave solutions for the extended Korteweg-de Vries equation and generalized Camassa-Holm equation.
Appl. Math. Comput., 2013

2012
Knowledge epidemics and population dynamics models for describing idea diffusion
CoRR, 2012

2011
Verhulst-Lotka-Volterra (VLV) model of ideological struggles
CoRR, 2011

2010
Modified method of simplest equation and its application to nonlinear PDEs.
Appl. Math. Comput., 2010

Numerical Investigation of the Upper Bounds on the Convective Heat Transport in a Heated from below Rotating Fluid Layer.
Proceedings of the Numerical Methods and Applications - 7th International Conference, 2010

2009
On nonlinear population waves.
Appl. Math. Comput., 2009


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