World's Best Scientists 2026 revealed!
Alexander V. Mikhailov

Alexander V. Mikhailov

D-Index & Metrics

Mathematics

D-Index
34
Citations
6638
World Ranking
2876
National Ranking
186

Alexander V. Mikhailov 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 Alexander V. Mikhailov 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: 96 publications — 9th percentile

9% of scientists in this discipline score the same or lower.

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

Alexander V. Mikhailov 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 Alexander V. Mikhailov 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: 34 D-Index — 21st percentile

21% of scientists in this discipline score the same or lower.

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

Overview

Alexander V. Mikhailov is affiliated with the University of Leeds in the United Kingdom. Their research spans significant areas within mathematics and physics, with a particular focus on nonlinear waves and solitons, algebraic structures, advanced differential equations, and dynamical systems.

The researcher has contributed extensively to the fields of Mathematics and Physics and Astronomy. Their work is further specialized in several subfields, including statistical and nonlinear physics, algebra and number theory, geometry and topology, mathematical physics, and computational theory and mathematics.

The main topics covered in their work include nonlinear waves and solitons, advanced topics in algebra, algebraic structures and combinatorial models, advanced differential equations and dynamical systems, nonlinear photonic systems, homotopy and cohomology in algebraic topology, and polynomial and algebraic computation.

Alexander V. Mikhailov has published in multiple scientific venues, with several recurring publication outlets, including:

  • arXiv (Cornell University)
  • Russian Mathematical Surveys
  • Успехи математических наук
  • Letters in Mathematical Physics
  • Nonlinearity

Frequent collaborators with whom they have coauthored publications include:

  • Jing Ping Wang
  • Victor Matveevich Buchstaber
  • Sylvain Carpentier
  • Pol Vanhaecke
  • T. Skrypnyk

Representative recent publications by Alexander V. Mikhailov demonstrate a diverse engagement with advanced mathematical physics topics:

  • Quantisation ideals of nonabelian integrable systems, 2020, Russian Mathematical Surveys
  • Perturbative Symmetry Approach for Differential-Difference Equations, 2022, Communications in Mathematical Physics
  • Quantisations of the Volterra hierarchy, 2022, Letters in Mathematical Physics
  • Integrable polynomial Hamiltonian systems and symmetric powers of plane algebraic curves, 2021, Russian Mathematical Surveys
  • Интегрируемые полиномиальные гамильтоновы системы и симметрические степени плоских алгебраических кривых, 2021, Успехи математических наук

Best Publications

  • Relativistically invariant two-dimensional models of field theory which are integrable by means of the inverse scattering problem method

    V.E. Zakharov;A.V. Mikhailov

  • The reduction problem and the inverse scattering method

    Alexander V. Mikhailov

  • The Symmetry Approach to Classification of Integrable Equations

    A. V. Mikhailov;A. B. Shabat;V. V. Sokolov

  • Two-dimensional generalized Toda lattice

    A. V. Mikhailov;M. A. Olshanetsky;A. M. Perelomov

  • The symmetry approach to the classification of non-linear equations. Complete lists of integrable systems

    A V Mikhailov;A B Shabat;R I Yamilov

  • On the integrability of classical spinor models in two-dimensional space-time

    V. E. Zakharov;A. V. Mikhailov

  • Perturbative symmetry approach

    Alexander V. Mikhailov;Alexander V. Mikhailov;Vladimir S. Novikov

  • Inverse scattering method with variable spectral parameter

    S. P. Burtsev;V. E. Zakharov;A. V. Mikhailov

  • On the complete integrability of the two-dimensional classical Thirring model

    E. A. Kuznetsov;A. V. Mikhailov

  • Integrability of a two-dimensional generalization of the Toda chain

    A. V. MikhaiLov

  • Extension of the module of invertible transformations. Classification of integrable systems

    A. V. Mikhailov;A. B. Shabat;R. I. Yamilov

  • On the topological meaning of canonical Clebsch variables

    E.A. Kuznetsov;A.V. Mikhailov

  • Nonlinear interaction of solitons and radiation

    E. A. Kuznetsov;A. V. Mikhailov;I. A. Shimokhin

  • Maxwell-Bloch equation and the inverse scattering method

    I. R. Gabitov;V. E. Zakharov;A. V. Mikhailov

  • The Landau-Lifschitz equation and the Riemann boundary problem on a torus

    A.V. Mikhailov

  • Obstacles to Asymptotic Integrability

    Y. Kodama;A. V. Mikhailov

  • Stability of stationary waves in nonlinear weakly dispersive media

    E. A. Kuznetsov;A. V. Mikhailov

  • Integrable ODEs on Associative Algebras

    A. V. Mikhailov;V. V. Sokolov

  • Reduction in integrable systems. The reduction group

    A. V. Mikhailov

  • Darboux transformations and recursion operators for differential-difference equations

    F. Khanizadeh;Alexander V. Mikhailov;Jing Ping Wang

  • Reductions of integrable equations: dihedral group

    Sara Lombardo;Alexander Mikhailov;Alexander Mikhailov

  • Reduction Groups and Automorphic Lie Algebras

    Sara Lombardo;Alexander Mikhailov

Frequent Co-Authors

Vladimir E. Zakharov
Vladimir E. Zakharov Landau Institute for Theoretical Physics
H. J. de Vega
H. J. de Vega Sorbonne University
Francoise Combes
Francoise Combes Collège de France
Vladimir E. Fortov
Vladimir E. Fortov Russian Academy of Sciences
Yakov G. Sinai
Yakov G. Sinai Princeton University
S. P. Novikov
S. P. Novikov Russian Academy of Sciences
Yuji Kodama
Yuji Kodama The Ohio State University
Stefan Wabnitz
Stefan Wabnitz Sapienza University of Rome
Alan C. Newell
Alan C. Newell University of Arizona

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