On nonlinear population waves. - Nikolay K. Vitanov; Ivan P. Jordanov; Zlatinka I. Dimitrova (Appl. Math. Comput., 2009)

Numerical Investigation of the Upper Bounds on the Convective Heat Transport in a Heated from below Rotating Fluid Layer. - Nikolay K. Vitanov (NMA, 2010)

Modified method of simplest equation and its application to nonlinear PDEs. - Nikolay K. Vitanov; Zlatinka I. Dimitrova; Holger Kantz (Appl. Math. Comput., 2010)

Verhulst-Lotka-Volterra (VLV) model of ideological struggles - Marcel Ausloos; Nikolay K. Vitanov; Zlatinka I. Dimitrova (CoRR, 2011)

Knowledge epidemics and population dynamics models for describing idea diffusion - Nikolay K. Vitanov; Marcel Ausloos (CoRR, 2012)

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. - Nikolay K. Vitanov; Zlatinka I. Dimitrova; Holger Kantz (Appl. Math. Comput., 2013)

Dynamical features of the quasi-stationary microRNA-mediated protein translation process supported by eIF4F translation initiation factors. - Elena Nikolova; Ivan P. Jordanov; Nikolay K. Vitanov (Comput. Math. Appl., 2013)

Traveling waves and statistical distributions connected to systems of interacting populations. - Nikolay K. Vitanov; Zlatinka I. Dimitrova; Kaloyan N. Vitanov (Comput. Math. Appl., 2013)

Solitary wave solutions for nonlinear partial differential equations that contain monomials of odd and even grades with respect to participating derivatives. - Nikolay K. Vitanov; Zlatinka I. Dimitrova (Appl. Math. Comput., 2014)

Population dynamics in presence of state dependent fluctuations. - Nikolay K. Vitanov; Kaloyan N. Vitanov (Comput. Math. Appl., 2014)

Ranking structures and Rank-Rank Correlations of Countries. The FIFA and UEFA cases. - Marcel Ausloos; Rudi Cloots; Adam Gadomski; Nikolay K. Vitanov (CoRR, 2014)

Modified method of simplest equation for obtaining exact analytical solutions of nonlinear partial differential equations: further development of the methodology with applications. - Nikolay K. Vitanov; Zlatinka I. Dimitrova; Kaloyan N. Vitanov (Appl. Math. Comput., 2015)

Test of two hypotheses explaining the size of populations in a system of cities. - Nikolay K. Vitanov; Marcel Ausloos (CoRR, 2015)

Box model of migration channels. - Nikolay K. Vitanov; Kaloyan N. Vitanov (Math. Soc. Sci., 2016)

On solitary wave solutions of a class of nonlinear partial differential equations based on the function 1/coshn(αx+βt). - Nikolay K. Vitanov; Zlatinka I. Dimitrova; Tsvetelina I. Ivanova (Appl. Math. Comput., 2017)

Statistical Characteristics of Stationary Flow of Substance in a Network Channel Containing Arbitrary Number of Arms. - Roumen Borisov; Zlatinka I. Dimitrova; Nikolay K. Vitanov (Entropy, 2020)

On the Possibility of Chaos in a Generalized Model of Three Interacting Sectors. - Elena Nikolova; Nikolay K. Vitanov (Entropy, 2020)

On the Motion of Substance in a Channel of a Network: Extended Model and New Classes of Probability Distributions. - Nikolay K. Vitanov; Kaloyan N. Vitanov; Holger Kantz (Entropy, 2020)

Remarks on Dynamics of Research Production of Researchers and Research Organizations. - Nikolay K. Vitanov; Zlatinka I. Dimitrova (Predicting the Dynamics of Research Impact, 2021)

On the Use of Composite Functions in the Simple Equations Method to Obtain Exact Solutions of Nonlinear Differential Equations. - Nikolay K. Vitanov; Zlatinka I. Dimitrova; Kaloyan N. Vitanov (Comput., 2021)

Simple Equations Method and Non-Linear Differential Equations with Non-Polynomial Non-Linearity. - Nikolay K. Vitanov; Zlatinka I. Dimitrova (Entropy, 2021)

Simple Equations Method (SEsM): Algorithm, Connection with Hirota Method, Inverse Scattering Transform Method, and Several Other Methods. - Nikolay K. Vitanov; Zlatinka I. Dimitrova; Kaloyan N. Vitanov (Entropy, 2021)

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

Epidemic Waves and Exact Solutions of a Sequence of Nonlinear Differential Equations Connected to the SIR Model of Epidemics. - Nikolay K. Vitanov; Kaloyan N. Vitanov (Entropy, 2023)

Computation of the Exact Forms of Waves for a Set of Differential Equations Associated with the SEIR Model of Epidemics. - Nikolay K. Vitanov; Zlatinka I. Dimitrova (Comput., 2023)

On the Method of Transformations: Obtaining Solutions of Nonlinear Differential Equations by Means of the Solutions of Simpler Linear or Nonlinear Differential Equations. - Nikolay K. Vitanov (Axioms, 2023)

News Waves: Hard News, Soft News, Fake News, Rumors, News Wavetrains. - Nikolay K. Vitanov; Zlatinka I. Dimitrova; Kaloyan N. Vitanov (Entropy, 2024)