Nikolay K. Vitanov

Publication Activity (10 Years)

Years Active: 2009-2024
Publications (10 Years): 13

Top Topics

Differential Equations

Prolate Spheroidal

Population Dynamics

State Dependent

Top Venues

Appl. Math. Comput.

Publications

Nikolay K. Vitanov, Zlatinka I. Dimitrova, Kaloyan N. Vitanov
News Waves: Hard News, Soft News, Fake News, Rumors, News Wavetrains. Entropy 26 (1) (2024)
Nikolay K. Vitanov, Zlatinka I. Dimitrova
Computation of the Exact Forms of Waves for a Set of Differential Equations Associated with the SEIR Model of Epidemics. Comput. 11 (7) (2023)
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) (2023)
Nikolay K. Vitanov, Kaloyan N. Vitanov
Epidemic Waves and Exact Solutions of a Sequence of Nonlinear Differential Equations Connected to the SIR Model of Epidemics. Entropy 25 (3) (2023)
Nikolay K. Vitanov
Simple Equations Method (SEsM): An Effective Algorithm for Obtaining Exact Solutions of Nonlinear Differential Equations. Entropy 24 (11) (2022)
Nikolay K. Vitanov, Zlatinka I. Dimitrova, Kaloyan N. Vitanov
Simple Equations Method (SEsM): Algorithm, Connection with Hirota Method, Inverse Scattering Transform Method, and Several Other Methods. Entropy 23 (1) (2021)
Nikolay K. Vitanov, Zlatinka I. Dimitrova, Kaloyan N. Vitanov
On the Use of Composite Functions in the Simple Equations Method to Obtain Exact Solutions of Nonlinear Differential Equations. Comput. 9 (10) (2021)
Nikolay K. Vitanov, Zlatinka I. Dimitrova
Simple Equations Method and Non-Linear Differential Equations with Non-Polynomial Non-Linearity. Entropy 23 (12) (2021)
Nikolay K. Vitanov, Kaloyan N. Vitanov, Holger Kantz
On the Motion of Substance in a Channel of a Network: Extended Model and New Classes of Probability Distributions. Entropy 22 (11) (2020)
Roumen Borisov, Zlatinka I. Dimitrova, Nikolay K. Vitanov
Statistical Characteristics of Stationary Flow of Substance in a Network Channel Containing Arbitrary Number of Arms. Entropy 22 (5) (2020)
Elena Nikolova, Nikolay K. Vitanov
On the Possibility of Chaos in a Generalized Model of Three Interacting Sectors. Entropy 22 (12) (2020)
Nikolay K. Vitanov, Zlatinka I. Dimitrova, Tsvetelina I. Ivanova
On solitary wave solutions of a class of nonlinear partial differential equations based on the function 1/coshn(αx+βt). Appl. Math. Comput. 315 (2017)
Nikolay K. Vitanov, Kaloyan N. Vitanov
Box model of migration channels. Math. Soc. Sci. 80 (2016)
Nikolay K. Vitanov, Marcel Ausloos
Test of two hypotheses explaining the size of populations in a system of cities. CoRR (2015)
Nikolay K. Vitanov, Zlatinka I. Dimitrova, Kaloyan N. 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 (2015)
Marcel Ausloos, Rudi Cloots, Adam Gadomski, Nikolay K. Vitanov
Ranking structures and Rank-Rank Correlations of Countries. The FIFA and UEFA cases. CoRR (2014)
Nikolay K. Vitanov, Kaloyan N. Vitanov
Population dynamics in presence of state dependent fluctuations. Comput. Math. Appl. 68 (9) (2014)
Nikolay K. Vitanov, Zlatinka I. Dimitrova
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 (2014)
Nikolay K. Vitanov, Zlatinka I. Dimitrova, Holger Kantz
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) (2013)
Elena Nikolova, Ivan P. Jordanov, Nikolay K. Vitanov
Dynamical features of the quasi-stationary microRNA-mediated protein translation process supported by eIF4F translation initiation factors. Comput. Math. Appl. 66 (9) (2013)
Nikolay K. Vitanov, Zlatinka I. Dimitrova, Kaloyan N. Vitanov
Traveling waves and statistical distributions connected to systems of interacting populations. Comput. Math. Appl. 66 (9) (2013)
Nikolay K. Vitanov, Marcel Ausloos
Knowledge epidemics and population dynamics models for describing idea diffusion CoRR (2012)
Marcel Ausloos, Nikolay K. Vitanov, Zlatinka I. Dimitrova
Verhulst-Lotka-Volterra (VLV) model of ideological struggles CoRR (2011)
Nikolay K. Vitanov
Numerical Investigation of the Upper Bounds on the Convective Heat Transport in a Heated from below Rotating Fluid Layer. NMA (2010)
Nikolay K. Vitanov, Zlatinka I. Dimitrova, Holger Kantz
Modified method of simplest equation and its application to nonlinear PDEs. Appl. Math. Comput. 216 (9) (2010)
Nikolay K. Vitanov, Ivan P. Jordanov, Zlatinka I. Dimitrova
On nonlinear population waves. Appl. Math. Comput. 215 (8) (2009)