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Nikolay K. Vitanov
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Journal Articles
- 2024
- [j21]Nikolay K. Vitanov
, Zlatinka I. Dimitrova, Kaloyan N. Vitanov:
News Waves: Hard News, Soft News, Fake News, Rumors, News Wavetrains. Entropy 26(1): 5 (2024) - 2023
- [j20]Nikolay K. Vitanov
On the Method of Transformations: Obtaining Solutions of Nonlinear Differential Equations by Means of the Solutions of Simpler Linear or Nonlinear Differential Equations. Axioms 12(12): 1106 (2023) - [j19]Nikolay K. Vitanov
Computation of the Exact Forms of Waves for a Set of Differential Equations Associated with the SEIR Model of Epidemics. Comput. 11(7): 129 (2023) - [j18]Nikolay K. Vitanov
Epidemic Waves and Exact Solutions of a Sequence of Nonlinear Differential Equations Connected to the SIR Model of Epidemics. Entropy 25(3): 438 (2023) - 2022
- [j17]Nikolay K. Vitanov
Simple Equations Method (SEsM): An Effective Algorithm for Obtaining Exact Solutions of Nonlinear Differential Equations. Entropy 24(11): 1653 (2022) - 2021
- [j16]Nikolay K. Vitanov
On the Use of Composite Functions in the Simple Equations Method to Obtain Exact Solutions of Nonlinear Differential Equations. Comput. 9(10): 104 (2021) - [j15]Nikolay K. Vitanov
Simple Equations Method (SEsM): Algorithm, Connection with Hirota Method, Inverse Scattering Transform Method, and Several Other Methods. Entropy 23(1): 10 (2021) - [j14]Nikolay K. Vitanov
Simple Equations Method and Non-Linear Differential Equations with Non-Polynomial Non-Linearity. Entropy 23(12): 1624 (2021) - 2020
- [j13]Roumen Borisov
Statistical Characteristics of Stationary Flow of Substance in a Network Channel Containing Arbitrary Number of Arms. Entropy 22(5): 553 (2020) - [j12]Nikolay K. Vitanov
On the Motion of Substance in a Channel of a Network: Extended Model and New Classes of Probability Distributions. Entropy 22(11): 1240 (2020) - [j11]Elena Nikolova
On the Possibility of Chaos in a Generalized Model of Three Interacting Sectors. Entropy 22(12): 1388 (2020) - 2017
- [j10]Nikolay K. Vitanov
On solitary wave solutions of a class of nonlinear partial differential equations based on the function 1/coshn(αx+βt). Appl. Math. Comput. 315: 372-380 (2017) - 2016
- [j9]Nikolay K. Vitanov
Box model of migration channels. Math. Soc. Sci. 80: 108-114 (2016) - 2015
- [j8]Nikolay K. Vitanov
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. 269: 363-378 (2015) - 2014
- [j7]Nikolay K. Vitanov
Solitary wave solutions for nonlinear partial differential equations that contain monomials of odd and even grades with respect to participating derivatives. Appl. Math. Comput. 247: 213-217 (2014) - [j6]Nikolay K. Vitanov
Population dynamics in presence of state dependent fluctuations. Comput. Math. Appl. 68(9): 962-971 (2014) - 2013
- [j5]Nikolay K. Vitanov
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. 219(14): 7480-7492 (2013) - [j4]Nikolay K. Vitanov
Traveling waves and statistical distributions connected to systems of interacting populations. Comput. Math. Appl. 66(9): 1666-1684 (2013) - [j3]Elena Nikolova
Dynamical features of the quasi-stationary microRNA-mediated protein translation process supported by eIF4F translation initiation factors. Comput. Math. Appl. 66(9): 1716-1725 (2013) - 2010
- [j2]Nikolay K. Vitanov
Modified method of simplest equation and its application to nonlinear PDEs. Appl. Math. Comput. 216(9): 2587-2595 (2010) - 2009
- [j1]Nikolay K. Vitanov
On nonlinear population waves. Appl. Math. Comput. 215(8): 2950-2964 (2009)
Conference and Workshop Papers
- 2010
- [c1]Nikolay K. Vitanov
Numerical Investigation of the Upper Bounds on the Convective Heat Transport in a Heated from below Rotating Fluid Layer. NMA 2010: 502-509
Parts in Books or Collections
- 2021
- [p1]Nikolay K. Vitanov, Zlatinka I. Dimitrova:
Remarks on Dynamics of Research Production of Researchers and Research Organizations. Predicting the Dynamics of Research Impact 2021: 51-70
Informal and Other Publications
- 2015
- [i4]Nikolay K. Vitanov, Marcel Ausloos:
Test of two hypotheses explaining the size of populations in a system of cities. CoRR abs/1506.08535 (2015) - 2014
- [i3]Marcel Ausloos, Rudi Cloots, Adam Gadomski, Nikolay K. Vitanov:
Ranking structures and Rank-Rank Correlations of Countries. The FIFA and UEFA cases. CoRR abs/1403.5683 (2014) - 2012
- [i2]Nikolay K. Vitanov, Marcel Ausloos:
Knowledge epidemics and population dynamics models for describing idea diffusion. CoRR abs/1201.0676 (2012) - 2011
- [i1]Marcel Ausloos, Nikolay K. Vitanov, Zlatinka I. Dimitrova:
Verhulst-Lotka-Volterra (VLV) model of ideological struggles. CoRR abs/1103.5362 (2011)
Coauthor Index
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