World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
42
Citations
5177
World Ranking
1830
National Ranking
1

Overview

Nikolay K. Vitanov is a researcher affiliated with the Bulgarian Academy of Sciences in Bulgaria. Their work spans mainly the fields of Physics and Astronomy as well as Mathematics. Within these domains, significant contributions focus on the subfields of Statistical and Nonlinear Physics, Numerical Analysis, Modeling and Simulation, Public Health, Environmental and Occupational Health, and Mathematical Physics.

The primary research interests and topics covered by Nikolay K. Vitanov include nonlinear waves and solitons, nonlinear photonic systems, numerical methods for differential equations, opinion dynamics and social influence, fractional differential equations solutions, complex network analysis techniques, and mathematical and theoretical epidemiology and ecology models.

The scientist has published numerous papers in a variety of academic venues. Key recent publications include:

  • Simple Equations Method (SEsM): Algorithm, Connection with Hirota Method, Inverse Scattering Transform Method, and Several Other Methods, 2020, Entropy
  • Simple Equations Method (SEsM): An Effective Algorithm for Obtaining Exact Solutions of Nonlinear Differential Equations, 2022, Entropy
  • On the Use of Composite Functions in the Simple Equations Method to Obtain Exact Solutions of Nonlinear Differential Equations, 2021, Computation
  • Simple Equations Method and Non-Linear Differential Equations with Non-Polynomial Non-Linearity, 2021, Entropy
  • Exact solutions of a fifth - order Korteweg-de Vries -type equation modeling nonlinear long waves in several natural phenomena, 2021, AIP conference proceedings

Nikolay K. Vitanov frequently publishes in the following venues:

  • Entropy
  • AIP conference proceedings
  • arXiv (Cornell University)
  • Mathematics
  • Computation

The researcher has collaborated regularly with several scholars, including Zlatinka I. Dimitrova, Kaloyan N. Vitanov, Roumen Borisov, Елена Николова, and Tsvetelina Ivanova.

Best Publications

  • Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity

    Nikolay K. Vitanov

  • Modified method of simplest equation: Powerful tool for obtaining exact and approximate traveling-wave solutions of nonlinear PDEs

    Nikolay K. Vitanov

  • Modified method of simplest equation and its application to nonlinear PDEs

    Nikolay K. Vitanov;Zlatinka I. Dimitrova;Holger Kantz

  • Application of the method of simplest equation for obtaining exact traveling-wave solutions for two classes of model PDEs from ecology and population dynamics

    Nikolay K. Vitanov;Zlatinka I. Dimitrova

  • Markov chain model for turbulent wind speed data

    Holger Kantz;Detlef Holstein;Mario Ragwitz;Nikolay K. Vitanov

  • On modified method of simplest equation for obtaining exact and approximate solutions of nonlinear PDEs: The role of the simplest equation

    Nikolay K. Vitanov

  • Spatiotemporal symmetry and multifractal structure of head movements during dyadic conversation.

    Kathleen T. Ashenfelter;Steven M. Boker;Jennifer R. Waddell;Nikolay Vitanov

  • On nonlinear dynamics of interacting populations: Coupled kink waves in a system of two populations

    N.K. Vitanov;I.P. Jordanov;Z.I. Dimitrova

  • On nonlinear population waves

    Nikolay K. Vitanov;Ivan P. Jordanov;Zlatinka I. Dimitrova

  • Verhulst–Lotka–Volterra (VLV) model of ideological struggle

    Nikolay K. Vitanov;Zlatinka I. Dimitrova;Marcel Ausloos

  • Modified method of simplest equation for obtaining exact analytical solutions of nonlinear partial differential equations

    Nikolay K. Vitanov;Zlatinka I. Dimitrova;Kaloyan N. Vitanov

  • Adaptation and its impact on the dynamics of a system of three competing populations

    Zlatinka I. Dimitrova;Zlatinka I. Dimitrova;Nikolay K. Vitanov

  • Influence of adaptation on the nonlinear dynamics of a system of competing populations

    Zlatinka I. Dimitrova;Zlatinka I. Dimitrova;Nikolay K. Vitanov

  • Chaotic pairwise competition.

    Zlatinka I. Dimitrova;Nikolay K. Vitanov

  • On some solutions of the two-dimensional sine-Gordon equation

    N Martinov;N Vitanov

  • New class of running-wave solutions of the (2+1)-dimensional sine-Gordon equation

    N K Martinov;N K Vitanov

  • Knowledge Epidemics and Population Dynamics Models for Describing Idea Diffusion

    Nikolay K. Vitanov;Marcel R. Ausloos

  • Breather and soliton wave families for the sine–Gordon equation

    Nikolay K. Vitanov

  • Traveling waves and statistical distributions connected to systems of interacting populations

    Nikolay K. Vitanov;Zlatinka I. Dimitrova;Kaloyan N. Vitanov

  • On the class of nonlinear PDEs that can be treated by the modified method of simplest equation. Application to generalized Degasperis-Processi equation and b-equation

    Nikolay K. Vitanov;Zlatinka I. Dimitrova;Kaloyan N. Vitanov

  • Dynamical consequences of adaptation of the growth rates in a system of three competing populations

    Zlatinka I Dimitrova;Zlatinka I Dimitrova;Nikolay K Vitanov

Frequent Co-Authors

Holger Kantz
Holger Kantz Max Planck Institute for the Physics of Complex Systems
Norbert Hoffmann
Norbert Hoffmann Hamburg University of Technology
Friedrich H. Busse
Friedrich H. Busse University of Bayreuth
Shunsuke Managi
Shunsuke Managi Kyushu University
Ivan B. Ivanov
Ivan B. Ivanov Sofia University
Krassimir D. Danov
Krassimir D. Danov Sofia University

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

Studying Mathematics in the USA opens doors to various related online degrees and attractive career paths. For professionals seeking leadership roles, a shortest online MBA programs offer accelerated routes to enhance business acumen and managerial skills while balancing ongoing commitments.

Those interested in finance can leverage their analytical background by pursuing a masters in finance online programs, which provide deep insights into financial modeling and risk management, complementing mathematical expertise.

For experienced professionals aiming for executive leadership, a 1 year dba program online is a cost-effective, time-efficient way to develop advanced research and decision-making skills relevant across industries.

Additionally, a marketing masters can open pathways to roles that combine quantitative analysis with strategic market insights, ideal for math graduates interested in consumer behavior and data-driven marketing.

Best Scientists Citing Nikolay K. Vitanov

Trending Scientists

Recently Published Articles