Nikolay K. Vitanov

31 papers Journal 29Unranked 1
YearRankTypeTitle / Venue / Authors
2025 J jnl
Mathematical Theory of Seismic Activity and Its Specific Cases: Gutenberg-Richter Law, Omori Law, Roll-Off Effect, and Negative Binomial Distribution.
Entropy
Roumen Borisov, Nikolay K. Vitanov
2025 J jnl
Remarks on a Scaling Theory of Spread of COVID-19 with an Application to the Case of Bulgaria.
Entropy
Svetlan Kartalov, Nikolay K. Vitanov
2025 J jnl
Remarks on the Simple Equations Method (SEsM) for Obtaining Exact Solutions of Nonlinear Differential Equations: Selected Simple Equations.
Symmetry
Nikolay K. Vitanov, Kaloyan N. Vitanov
2025 J jnl
Sic Transit Gloria Mundi: A Mathematical Theory of Popularity Waves Based on a SIIRR Model of Epidemic Spread.
Entropy
Nikolay K. Vitanov, Zlatinka I. Dimitrova
2024 J jnl
News Waves: Hard News, Soft News, Fake News, Rumors, News Wavetrains.
Entropy
Nikolay K. Vitanov, Zlatinka I. Dimitrova, Kaloyan N. Vitanov
2023 J jnl
Computation of the Exact Forms of Waves for a Set of Differential Equations Associated with the SEIR Model of Epidemics.
Comput.
Nikolay K. Vitanov, Zlatinka I. Dimitrova
2023 J jnl
Epidemic Waves and Exact Solutions of a Sequence of Nonlinear Differential Equations Connected to the SIR Model of Epidemics.
Entropy
Nikolay K. Vitanov, Kaloyan N. Vitanov
2023 J jnl
On the Method of Transformations: Obtaining Solutions of Nonlinear Differential Equations by Means of the Solutions of Simpler Linear or Nonlinear Differential Equations.
Axioms
Nikolay K. Vitanov
2022 J jnl
Simple Equations Method (SEsM): An Effective Algorithm for Obtaining Exact Solutions of Nonlinear Differential Equations.
Entropy
Nikolay K. Vitanov
2021 J jnl
On the Use of Composite Functions in the Simple Equations Method to Obtain Exact Solutions of Nonlinear Differential Equations.
Comput.
Nikolay K. Vitanov, Zlatinka I. Dimitrova, Kaloyan N. Vitanov
2021 — ch.
Remarks on Dynamics of Research Production of Researchers and Research Organizations.
Predicting the Dynamics of Research Impact
Nikolay K. Vitanov, Zlatinka I. Dimitrova
2021 J jnl
Simple Equations Method (SEsM): Algorithm, Connection with Hirota Method, Inverse Scattering Transform Method, and Several Other Methods.
Entropy
Nikolay K. Vitanov, Zlatinka I. Dimitrova, Kaloyan N. Vitanov
2021 J jnl
Simple Equations Method and Non-Linear Differential Equations with Non-Polynomial Non-Linearity.
Entropy
Nikolay K. Vitanov, Zlatinka I. Dimitrova
2020 J jnl
On the Motion of Substance in a Channel of a Network: Extended Model and New Classes of Probability Distributions.
Entropy
Nikolay K. Vitanov, Kaloyan N. Vitanov, Holger Kantz
2020 J jnl
On the Possibility of Chaos in a Generalized Model of Three Interacting Sectors.
Entropy
Elena Nikolova, Nikolay K. Vitanov
2020 J jnl
Statistical Characteristics of Stationary Flow of Substance in a Network Channel Containing Arbitrary Number of Arms.
Entropy
Roumen Borisov, Zlatinka I. Dimitrova, Nikolay K. Vitanov
2017 J jnl
On solitary wave solutions of a class of nonlinear partial differential equations based on the function 1/coshn(αx+βt).
Appl. Math. Comput.
Nikolay K. Vitanov, Zlatinka I. Dimitrova, Tsvetelina I. Ivanova
2016 J jnl
Box model of migration channels.
Math. Soc. Sci.
Nikolay K. Vitanov, Kaloyan N. Vitanov
2015 J jnl
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.
Nikolay K. Vitanov, Zlatinka I. Dimitrova, Kaloyan N. Vitanov
2015 J jnl
Test of two hypotheses explaining the size of populations in a system of cities.
CoRR
Nikolay K. Vitanov, Marcel Ausloos
2014 J jnl
Population dynamics in presence of state dependent fluctuations.
Comput. Math. Appl.
Nikolay K. Vitanov, Kaloyan N. Vitanov
2014 J jnl
Ranking structures and Rank-Rank Correlations of Countries. The FIFA and UEFA cases.
CoRR
Marcel Ausloos, Rudi Cloots, Adam Gadomski, Nikolay K. Vitanov
2014 J jnl
Solitary wave solutions for nonlinear partial differential equations that contain monomials of odd and even grades with respect to participating derivatives.
Appl. Math. Comput.
Nikolay K. Vitanov, Zlatinka I. Dimitrova
2013 J jnl
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.
Nikolay K. Vitanov, Zlatinka I. Dimitrova, Holger Kantz
2013 J jnl
Dynamical features of the quasi-stationary microRNA-mediated protein translation process supported by eIF4F translation initiation factors.
Comput. Math. Appl.
Elena Nikolova, Ivan P. Jordanov, Nikolay K. Vitanov
2013 J jnl
Traveling waves and statistical distributions connected to systems of interacting populations.
Comput. Math. Appl.
Nikolay K. Vitanov, Zlatinka I. Dimitrova, Kaloyan N. Vitanov
2012 J jnl
Knowledge epidemics and population dynamics models for describing idea diffusion
CoRR
Nikolay K. Vitanov, Marcel Ausloos
2011 J jnl
Verhulst-Lotka-Volterra (VLV) model of ideological struggles
CoRR
Marcel Ausloos, Nikolay K. Vitanov, Zlatinka I. Dimitrova
2010 J jnl
Modified method of simplest equation and its application to nonlinear PDEs.
Appl. Math. Comput.
Nikolay K. Vitanov, Zlatinka I. Dimitrova, Holger Kantz
2010 — conf
Numerical Investigation of the Upper Bounds on the Convective Heat Transport in a Heated from below Rotating Fluid Layer.
NMA
Nikolay K. Vitanov
2009 J jnl
On nonlinear population waves.
Appl. Math. Comput.
Nikolay K. Vitanov, Ivan P. Jordanov, Zlatinka I. Dimitrova