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Alexander V. Mikhailov

Alexander V. Mikhailov

D-Index & Metrics

Mathematics

D-Index
34
Citations
6638
World Ranking
2875
National Ranking
186

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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