D-Index & Metrics Best Publications
Mathematics
UK
2022

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Engineering and Technology D-index 51 Citations 9,385 146 World Ranking 1345 National Ranking 86
Mathematics D-index 67 Citations 17,275 280 World Ranking 238 National Ranking 13

Research.com Recognitions

Awards & Achievements

2022 - Research.com Mathematics in United Kingdom Leader Award

2009 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Algebra

His main research concerns Mathematical analysis, Nonlinear system, Inverse scattering transform, Mathematical physics and Korteweg–de Vries equation. As part of the same scientific family, he usually focuses on Mathematical analysis, concentrating on Pure mathematics and intersecting with Structure. His Nonlinear system research is multidisciplinary, incorporating elements of Traveling wave, Eigenfunction, Classical mechanics and Integrable system.

His Inverse scattering transform study combines topics in areas such as Burgers' equation and Kadomtsev–Petviashvili equation. His Mathematical physics research is multidisciplinary, incorporating perspectives in Simultaneous equations, Homogeneous space, Evolution equation, Independent equation and Dispersionless equation. His work deals with themes such as Riemann problem and Partial differential equation, which intersect with Boundary value problem.

His most cited work include:

  • Symplectic structures, their Bäcklund transformations and hereditary symmetries (1416 citations)
  • The isomonodromy approach to matric models in 2D quantum gravity (625 citations)
  • Complex Variables: Introduction and Applications (464 citations)

What are the main themes of his work throughout his whole career to date?

Athanassios S. Fokas mainly focuses on Mathematical analysis, Boundary value problem, Nonlinear system, Integrable system and Mathematical physics. His research on Mathematical analysis often connects related areas such as Korteweg–de Vries equation. Athanassios S. Fokas combines subjects such as Fourier transform and Applied mathematics with his study of Boundary value problem.

His Nonlinear system study focuses on Simultaneous equations in particular. His study in Integrable system focuses on Lax pair in particular. Athanassios S. Fokas has researched Mathematical physics in several fields, including Periodic function and Nonlinear Schrödinger equation.

He most often published in these fields:

  • Mathematical analysis (58.10%)
  • Boundary value problem (35.47%)
  • Nonlinear system (22.35%)

What were the highlights of his more recent work (between 2017-2021)?

  • Applied mathematics (25.70%)
  • Boundary value problem (35.47%)
  • Mathematical analysis (58.10%)

In recent papers he was focusing on the following fields of study:

Athanassios S. Fokas mainly focuses on Applied mathematics, Boundary value problem, Mathematical analysis, Integrable system and Nonlinear system. His Applied mathematics study incorporates themes from Initial value problem, Partial differential equation, Riccati equation, Half-space and Order. His work on Biharmonic equation as part of his general Boundary value problem study is frequently connected to Derivative, thereby bridging the divide between different branches of science.

Mathematical analysis is often connected to Medical imaging in his work. His work in Integrable system tackles topics such as Korteweg–de Vries equation which are related to areas like Nonlinear Schrödinger equation. His studies in Nonlinear system integrate themes in fields like Schrödinger's cat, Mathematical physics and Line.

Between 2017 and 2021, his most popular works were:

  • Rogue waves of the nonlocal Davey–Stewartson I equation (43 citations)
  • Rogue waves of the nonlocal Davey–Stewartson I equation (43 citations)
  • Initial–boundary value problems associated with the Ablowitz–Ladik system (30 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Quantum mechanics
  • Complex number

Athanassios S. Fokas spends much of his time researching Applied mathematics, Mathematical physics, Order, Imaging phantom and Mathematical analysis. Athanassios S. Fokas has included themes like Function, Upper and lower bounds, Sigmoid function and Riccati equation in his Applied mathematics study. The Mathematical physics study which covers Bilinear interpolation that intersects with Nonlinear system.

Athanassios S. Fokas is interested in Soliton, which is a branch of Nonlinear system. His Order study combines topics from a wide range of disciplines, such as Fractional calculus, Partial differential equation, Matrix and Boundary value problem. His biological study spans a wide range of topics, including Transformation and Variety.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Symplectic structures, their Bäcklund transformations and hereditary symmetries

B. Fuchssteiner;A.S. Fokas.
Physica D: Nonlinear Phenomena (1981)

1908 Citations

Symplectic structures, their Bäcklund transformations and hereditary symmetries

B. Fuchssteiner;A.S. Fokas.
Physica D: Nonlinear Phenomena (1981)

1908 Citations

Complex Variables: Introduction and Applications

Mark J. Ablowitz;Athanassios S. Fokas.
(1997)

1174 Citations

Complex Variables: Introduction and Applications

Mark J. Ablowitz;Athanassios S. Fokas.
(1997)

1174 Citations

The isomonodromy approach to matric models in 2D quantum gravity

A. S. Fokas;A. R. Its;A. V. Kitaev.
Communications in Mathematical Physics (1992)

643 Citations

The isomonodromy approach to matric models in 2D quantum gravity

A. S. Fokas;A. R. Its;A. V. Kitaev.
Communications in Mathematical Physics (1992)

643 Citations

Painleve Transcendents: The Riemann-hilbert Approach

Athanassios Fokas;Alexander Its;Andrei Kapaev;Victor Novokshenov.
(2006)

566 Citations

A unified transform method for solving linear and certain nonlinear PDEs

A. S. Fokas;A. S. Fokas.
Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences (1997)

552 Citations

A unified transform method for solving linear and certain nonlinear PDEs

A. S. Fokas;A. S. Fokas.
Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences (1997)

552 Citations

On a class of physically important integrable equations

A. S. Fokas;A. S. Fokas.
Physica D: Nonlinear Phenomena (1994)

490 Citations

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