World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

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

Nikolay K. Vitanov publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Nikolay K. Vitanov sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 167 publications — 47th percentile

47% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Nikolay K. Vitanov D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Nikolay K. Vitanov sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 42 D-Index — 51st percentile

51% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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