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- Athanassios S. Fokas

Mathematics

UK

2022

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

2022 - Research.com Mathematics in United Kingdom Leader Award

2009 - Fellow of John Simon Guggenheim Memorial Foundation

- 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.

- 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)

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.

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

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

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.

- 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)

- 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.

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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