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Fokas, Athanassios S.

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Author ID: fokas.athanassios-s Recent zbMATH articles by "Fokas, Athanassios S."
Published as: Fokas, A S; Fokas, A.; Fokas, A. S.; Fokas, Athanasios; Fokas, Athanasios S.; Fokas, Athanasis S.; Fokas, Athanasisos S.; Fokas, Athanassios S.; Fokas, Athanassis S.; Fokas, Thanasis
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Documents Indexed: 288 Publications since 1978, including 13 Books
all top 5

Co-Authors

47 single-authored
21 Ablowitz, Mark Jay
17 Its, Alexander Rudolfovich
16 Santini, Paolo Maria
14 Pelloni, Beatrice
13 Lenells, Jonatan
12 Dassios, George
10 Gel’fand, Israil’ Moiseevich
7 Spence, Euan A.
6 Kalimeris, Konstantinos
5 Kitaev, Alexander V.
5 Mantzavinos, Dionyssios
5 Sung, Li-Yeng
4 Kapaev, Andrei A.
4 Marinakis, Vangelis
4 Saridakis, Yiannis G.
4 Shepelsky, Dmitry
4 Smitheman, S. A.
3 Ashton, Anthony C. L.
3 Biondini, Gino
3 Boutet de Monvel, Anne Marie
3 Crowdy, Darren Gregory
3 Dimakos, M.
3 Fernandez, Arran
3 Finkel, Federico
3 Himonas, A. Alexandrou
3 Kibble, Tom W. B.
3 Kurylev, Yaroslav V.
3 Lagerstrom, Paco A.
3 Liu, Qiming
3 Luo, Laihan
3 Michel, Volker
3 Mugan, Ugurhan
3 Papadopoulou, Elena P.
3 Papageorgiou, Vassilios G.
3 Treharne, P. A.
3 Zegarlinski, Boguslaw
3 Zhou, Xin
2 Anderson, Rodney L.
2 Barouch, Eytan
2 Filelis-Papadopoulos, Christos K.
2 Flyer, Natasha
2 Fuchssteiner, Benno
2 Fulton, Scott R.
2 Grigor’yan, Alexander Asaturovich
2 Grylonakis, Eleftherios-Nektarios G.
2 Hashemzadeh, Parham
2 He, Jingsong
2 Iserles, Arieh
2 Kamvissis, Spyridon
2 Kastis, George A.
2 Novokshenov, Viktor Yur’evich
2 Pelinovsky, Dmitry Efimovich
2 Pinotsis, Dimitrios A.
2 Rogers, Colin
2 Vayenas, C. G.
2 Xia, Baoqiang
2 Zakharov, Vladimir Evgen’evich
2 Zyskin, M. V.
1 Antipov, Yuri A.
1 Băleanu, Dumitru I.
1 Bar Yaacov, D.
1 ben-Avraham, Daniel
1 Bona, Jerry Lloyd
1 Bressloff, Paul C.
1 Ceyhan, Özgür
1 Charalambopoulos, Antonios
1 Clarkson, Peter A.
1 Cohen, Donald Sussman
1 Coifman, Ronald Raphaël
1 Colbrook, Matthew J.
1 De Lillo, Silvana
1 Doering, Charles R.
1 Dorf’man, Irina Yakovlevna
1 Dubrovin, Boris Anatol’evich
1 Engquist, Bjorn E.
1 Ghose Choudhury, Anindya
1 Gibbon, John D.
1 Glasser, M. Larry
1 Grammaticos, Basil
1 Gravvanis, George A.
1 Grawanis, G. A.
1 Green, Christopher C.
1 Grigoriou, D.
1 Grimshaw, Roger Hamilton James
1 Guha, Partha
1 Gürses, Metin
1 Hadjiloizi, Demetra
1 Hairer, Ernst
1 Halliwell, Jonathan J.
1 Hauk, Olaf
1 Hitzazis, Iasonas
1 Hwang, Guenbo
1 Ioannidou, T. A.
1 Kariotou, Fotini
1 Kister, A. E.
1 Leweke, Sarah
1 Liu, Qi Meng
1 Liu, Qimao
1 Liu, Qinming
1 Madala, Hema R.
...and 34 more Co-Authors
all top 5

Serials

23 Journal of Mathematical Physics
19 Inverse Problems
19 Studies in Applied Mathematics
13 Nonlinearity
12 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
10 Communications in Mathematical Physics
10 Physica D
6 IMA Journal of Applied Mathematics
6 Journal of Mathematical Analysis and Applications
6 Mathematical Proceedings of the Cambridge Philosophical Society
5 Letters in Mathematical Physics
5 Journal of Nonlinear Mathematical Physics
4 Journal of Fluid Mechanics
4 Journal of Computational and Applied Mathematics
4 SIAM Journal on Applied Mathematics
4 Journal of Nonlinear Science
4 Physical Review Letters
4 Journal of Physics A: Mathematical and Theoretical
3 Communications on Pure and Applied Mathematics
3 Physics Letters. A
3 European Journal of Applied Mathematics
3 Computational Methods and Function Theory
3 Cambridge Texts in Applied Mathematics
2 Physica A
2 Theoretical and Mathematical Physics
2 Mathematics and Computers in Simulation
2 Quarterly of Applied Mathematics
2 Transactions of the American Mathematical Society
2 Complex Systems
2 Journal of Physics A: Mathematical and General
2 SIAM Journal on Mathematical Analysis
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Journal of Mathematical Sciences (New York)
2 Selecta Mathematica. New Series
2 Mathematical Physics, Analysis and Geometry
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 IMA Journal of Numerical Analysis
1 Mathematical Methods in the Applied Sciences
1 Quarterly Journal of Mechanics and Applied Mathematics
1 Russian Mathematical Surveys
1 Chaos, Solitons and Fractals
1 Applied Mathematics and Computation
1 Duke Mathematical Journal
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Bulletin of the Greek Mathematical Society
1 Acta Applicandae Mathematicae
1 Applied Numerical Mathematics
1 Applied Mathematics Letters
1 Differential and Integral Equations
1 Proceedings of the National Academy of Sciences of the United States of America
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 SIAM Review
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Notices of the American Mathematical Society
1 Nonlinear Science Today
1 Methods and Applications of Analysis
1 Advances in Differential Equations
1 Communications in Applied Analysis
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Abstract and Applied Analysis
1 Journal of the Institute of Mathematics of Jussieu
1 HERMIS-\(\mu\pi\). Hellenic European Research on Mathematics and Informatics Science
1 Complex Variables and Elliptic Equations
1 CBMS-NSF Regional Conference Series in Applied Mathematics
1 Lectures in Applied Mathematics
1 London Mathematical Society Lecture Note Series
1 Mathematical Surveys and Monographs
1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova
1 Numerical Mathematics: Theory, Methods and Applications
1 De Gruyter Series in Mathematics and Life Sciences
1 Nonlinear Analysis. Theory, Methods & Applications
1 Proceedings A. Royal Society of London
1 Other Titles in Applied Mathematics
1 Progress in Nonlinear Differential Equations and Their Applications

Publications by Year

Citations contained in zbMATH

239 Publications have been cited 5,168 times in 2,885 Documents Cited by Year
Symplectic structures, their Bäcklund transformations and hereditary symmetries. Zbl 1194.37114
Fuchssteiner, B.; Fokas, A. S.
715
1981
The isomonodromy approach to matrix models in 2D quantum gravity. Zbl 0760.35051
Fokas, A. S.; Its, A. R.; Kitaev, A. V.
190
1992
On a class of physically important integrable equations. Zbl 1194.35363
Fokas, A. S.
176
1995
A unified transform method for solving linear and certain nonlinear PDEs. Zbl 0876.35102
Fokas, A. S.
172
1997
Painlevé transcendents. The Riemann-Hilbert approach. Zbl 1111.34001
Fokas, Athanassios S.; Its, Alexander R.; Kapaev, Andrei A.; Novokshenov, Victor Yu.
130
2006
A unified approach to boundary value problems. Zbl 1181.35002
Fokas, Athanassios S.
119
2008
Complex variables: introduction and applications. 2nd ed. Zbl 1088.30001
Ablowitz, Mark J.; Fokas, Athanassios S.
106
2003
Integrable nonlinear evolution equations on the half-line. Zbl 1010.35089
Fokas, A. S.
106
2002
Symmetries and integrability. Zbl 0639.35075
Fokas, A. S.
95
1987
The nonlinear Schrödinger equation on the half-line. Zbl 1181.37095
Fokas, A. S.; Its, A. R.; Sung, L.-Y.
89
2005
Discrete Painlevé equations and their appearance in quantum gravity. Zbl 0742.35047
Fokas, A. S.; Its, A. R.; Kitaev, A. V.
80
1991
The inverse scattering transform for the Benjamin-Ono equation A pivot to multidimensional problems. Zbl 0505.76031
Fokas, A. S.; Ablowitz, M. J.
73
1983
On the inverse scattering transform of multidimensional nonlinear equations related to first-order systems in the plane. Zbl 0557.35110
Fokas, A. S.; Ablowitz, M. J.
69
1984
On the inverse scattering transform for the Kadomtsev-Petviashvili equation. Zbl 0527.35080
Ablowitz, M. J.; Bar Yaacov, D.; Fokas, A. S.
69
1983
A symmetry approach to exactly solvable evolution equations. Zbl 0455.35109
Fokas, A. S.
69
1980
Complex variables: introduction and applications. Zbl 0885.30001
Ablowitz, Mark J.; Fokas, Athanassios S.
61
1997
Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation. Zbl 1339.37066
Fokas, A. S.
59
2016
On a unified approach to transformations and elementary solutions of Painleve equations. Zbl 0504.34022
Fokas, A. S.; Ablowitz, M. J.
53
1982
The linearization of the initial-boundary value problem of the nonlinear Schrödinger equation. Zbl 0851.35122
Fokas, A. S.; Its, A. R.
52
1996
Nonlinear interaction of traveling waves of nonintegrable equations. Zbl 0973.35502
Fokas, A. S.; Liu, Q. M.
52
1994
Recursion operators and bi-Hamiltonian structures in multidimensions. I. Zbl 0674.35074
Santini, P. M.; Fokas, A. S.
51
1988
On the inverse scattering of the time-dependent Schrödinger equation and the associated Kadomtsev-Petviashvili equation. Zbl 0528.35079
Fokas, A. S.; Ablowitz, M. J.
51
1983
Two-dimensional linear partial differential equations in a convex polygon. Zbl 0988.35129
Fokas, A. S.
49
2001
Dromions and a boundary value problem for the Davey-Stewartson 1 equation. Zbl 0707.35144
Fokas, A. S.; Santini, P. M.
49
1990
Recursion operators and bi-Hamiltonian structures in multidimensions. II. Zbl 0706.35129
Fokas, A. S.; Santini, P. M.
49
1988
On a new non-local formulation of water waves. Zbl 1098.76013
Ablowitz, M. J.; Fokas, A. S.; Musslimani, Z. H.
48
2006
On the integrability of linear and nonlinear partial differential equations. Zbl 0994.37036
Fokas, A. S.
44
2000
From continuous to discrete Painlevé equations. Zbl 0794.34013
Fokas, A. S.; Grammaticos, B.; Ramani, A.
43
1993
A new transform method for evolution partial differential equations. Zbl 1028.35009
Fokas, A. S.
42
2002
The mKdV equation on the half-line. Zbl 1057.35050
Boutet de Monvel, A.; Fokas, A. S.; Shepelsky, D.
40
2004
Asymptotic integrability of water waves. Zbl 0982.76511
Fokas, A. S.; Liu, Q. M.
40
1996
On the use of isospectral eigenvalue problems for obtaining hereditary symmetries for Hamiltonian systems. Zbl 0495.58016
Fokas, A. S.; Anderson, R. L.
40
1982
A transform method for linear evolution PDEs on a finite interval. Zbl 1084.35002
Fokas, A. S.; Pelloni, B.
38
2005
The generalized Dirichlet-to-Neumann map for certain nonlinear evolution PDEs. Zbl 1092.35102
Fokas, A. S.
38
2005
On the solvability of the \(N\)-wave, Davey-Stewartson and Kadomtsev- Petviashvili equations. Zbl 0768.35069
Fokas, A. S.; Sung, L.-Y.
38
1992
The nonlinear Schrödinger equation on the interval. Zbl 1057.37063
Fokas, A. S.; Its, A. R.
37
2004
The unified method. I: Nonlinearizable problems on the half-line. Zbl 1256.35044
Fokas, A. S.; Lenells, J.
36
2012
Integrable nonlinear evolution equations on a finite interval. Zbl 1131.37064
Boutet de Monvel, Anne; Fokas, Athanassis S.; Shepelsky, Dmitry
36
2006
Analysis of the global relation for the nonlinear Schrödinger equation on the half-line. Zbl 1055.35107
Boutet de Monvel, A.; Fokas, A. S.; Shepelsky, D.
36
2003
On the exactly solvable equation \(S_ t = [(\beta S + \gamma)-^ 2 S_ x]_ x + \alpha(\beta S + \gamma)-^ 2 S_ x\) occurring in two-phase flow in porous media. Zbl 0488.76099
Fokas, A. S.; Yortsos, Y. C.
35
1982
On a novel integrable generalization of the nonlinear Schrödinger equation. Zbl 1160.35536
Lenells, J.; Fokas, A. S.
34
2009
The unique determination of neuronal currents in the brain via magnetoencephalography. Zbl 1075.92012
Fokas, A. S.; Kurylev, Y.; Marinakis, V.
34
2004
The Korteweg-de Vries equation and beyond. Zbl 0842.58045
Fokas, A. S.
34
1995
Forced nonlinear evolution equations and the inverse scattering transform. Zbl 0696.35135
Fokas, A. S.; Ablowitz, M. J.
34
1989
Bäcklund transformations for hereditary symmetries. Zbl 0491.35007
Fokas, A. S.; Fuchssteiner, B.
30
1981
On the solvability of Painlevé II and IV. Zbl 0758.35058
Fokas, A. S.; Zhou, Xin
29
1992
Surfaces on Lie groups, on Lie algebras, and their integrability (with an appendix by Juan Carlos Alvarez Paiva). Zbl 0864.53003
Fokas, A. S.; Gelfand, I. M.
28
1996
Important developments in soliton theory. Zbl 0801.00009
Fokas, A. S. (ed.); Zakharov, V. E. (ed.)
28
1993
Interaction of lumps with a line soliton for the DSII equation. Zbl 0977.35132
Fokas, A. S.; Pelinovsky, D. E.; Sulem, C.
26
2001
An initial-boundary value problem for the Korteweg-de Vries equation. Zbl 0832.35125
Fokas, A. S.; Its, A. R.
26
1994
The recursion operator of the Kadomtsev-Petviashvili equation and the squared eigenfunctions of the Schrödinger operator. Zbl 0613.35073
Fokas, A. S.; Santini, P. M.
26
1986
An integrable generalization of the nonlinear Schrödinger equation on the half-line and solitons. Zbl 1181.35335
Lenells, J.; Fokas, A. S.
25
2009
Generalized conditional symmetries and exact solutions of non-integrable equations. Zbl 0850.35097
Fokas, A. S.; Liu, Q. M.
25
1994
Hodograph transformations of linearizable partial differential equations. Zbl 0694.35005
Clarkson, P. A.; Fokas, A. S.; Ablowitz, M. J.
25
1989
An initial-boundary value problem for the nonlinear Schrödinger equation. Zbl 0679.35076
Fokas, A. S.
23
1989
Explicit soliton asymptotics for the Korteweg-de Vries equation on the half-line. Zbl 1211.37084
Fokas, A. S.; Lenells, J.
22
2010
An analytical method for linear elliptic PDEs and its numerical implementation. Zbl 1050.65116
Fulton, S. R.; Fokas, A. S.; Xenophontos, C. A.
22
2004
A non-local formulation of rotational water waves. Zbl 1241.76081
Ashton, A. C. L.; Fokas, A. S.
21
2011
Dynamically stretched vortices as solutions of the 3D Navier-Stokes equations. Zbl 0956.76018
Gibbon, J. D.; Fokas, A. S.; Doering, C. R.
21
1999
Rogue waves of the nonlocal Davey-Stewartson I equation. Zbl 1398.35192
Rao, Jiguang; Zhang, Yongshuai; Fokas, Athanassios S.; He, Jingsong
20
2018
Integrable nonlinear evolution partial differential equations in \(4+2\) and \(3+1\) dimensions. Zbl 1228.35199
Fokas, A. S.
20
2006
The dressing method and nonlocal Riemann-Hilbert problems. Zbl 0872.58032
Fokas, A. S.; Zakharov, V. E.
20
1992
The isomonodromy approach in the theory of two-dimensional quantum gravitation. Zbl 0743.35055
Its, A. R.; Kitaev, A. V.; Fokas, A. S.
20
1990
A spectral collocation method for the Laplace and modified Helmholtz equations in a convex polygon. Zbl 1202.65161
Smitheman, S. A.; Spence, E. A.; Fokas, A. S.
19
2010
A hybrid analytical-numerical method for solving evolution partial differential equations. I. The half-line. Zbl 1156.65089
Flyer, N.; Fokas, A. S.
19
2008
The generalized Dirichlet-Neumann map for linear elliptic PDEs and its numerical implementation. Zbl 1152.65113
Sifalakis, A. G.; Fokas, A. S.; Fulton, S. R.; Saridakis, Y. G.
19
2008
On the limit from the intermediate long wave equation to the Benjamin-Ono equation. Zbl 0543.45008
Santini, P. M.; Ablowitz, M. J.; Fokas, A. S.
19
1984
The nonlinear Schrödinger equation on the half-line. Zbl 1351.35182
Fokas, Athanassios S.; Himonas, A. Alexandrou; Mantzavinos, Dionyssios
18
2017
Synthesis, as opposed to separation, of variables. Zbl 1387.35013
Fokas, A. S.; Spence, E. A.
18
2012
The unified method. II: NLS on the half-line with \(t\)-periodic boundary conditions. Zbl 1256.35045
Lenells, J.; Fokas, A. S.
18
2012
On the simplest integrable equation in \(2+1\). Zbl 0804.35124
Fokas, A. S.
18
1994
An initial-boundary value problem for the sine-Gordon equation in laboratory coordinates. Zbl 0802.35133
Fokas, A. S.; Its, A. R.
18
1992
Hamiltonian theory over noncommutative rings and integrability in multidimensions. Zbl 0771.58025
Dorfman, I. Ya.; Fokas, A. S.
18
1992
On the initial value problem of the second Painleve transcendent. Zbl 0524.35094
Fokas, A. S.; Ablowitz, M. J.
18
1983
The unified method. III: Nonlinearizable problems on the interval. Zbl 1256.35046
Lenells, J.; Fokas, A. S.
17
2012
Boundary-value problems for the stationary axisymmetric Einstein equations: a rotating disc. Zbl 1221.35416
Lenells, J.; Fokas, A. S.
17
2011
A unified approach to various techniques for the non-uniqueness of the inverse gravimetric problem and wavelet-based methods. Zbl 1168.35047
Michel, V.; Fokas, A. S.
17
2008
On a transform method for the Laplace equation in a polygon. Zbl 1170.37331
Fokas, A. S.; Kapaev, A. A.
17
2003
Highly oscillatory problems. Zbl 1170.37002
Engquist, Bjorn (ed.); Fokas, Athanasios (ed.); Hairer, Ernst (ed.); Iserles, Arieh (ed.)
16
2009
Initial-boundary-value problems for linear and integrable nonlinear dispersive partial differential equations. Zbl 1230.30026
Bona, J. L.; Fokas, A. S.
16
2008
Explicit integral solutions for the plane elastostatic semi-strip. Zbl 1067.74022
Crowdy, D. G.; Fokas, A. S.
16
2004
On the solvability of Painlevé I, III and V. Zbl 0754.35107
Fokas, A. S.; Mugan, Ugurhan; Zhou, Xin
16
1992
Water waves over a variable bottom: a non-local formulation and conformal mappings. Zbl 1250.76035
Fokas, A. S.; Nachbin, A.
15
2012
The basic elliptic equations in an equilateral triangle. Zbl 1186.35040
Dassios, G.; Fokas, A. S.
15
2005
Inverse scattering transform for the KPI equation on the background of a one-line soliton. Zbl 1033.35097
Fokas, A. S.; Pogrebkov, A. K.
15
2003
A method of linearization for Painlevé equations: Painlevé IV, V. Zbl 0649.34006
Fokas, A. S.; Mugan, U.; Ablowitz, M. J.
15
1988
Initial-boundary value problems associated with the Ablowitz-Ladik system. Zbl 1380.35146
Xia, Baoqiang; Fokas, A. S.
14
2018
The Cauchy problem for the Kadomtsev-Petviashvili-I equation without the zero mass constraint. Zbl 0923.35152
Fokas, A. S.; Sung, Li-Yeng
14
1999
A plethora of integrable bi-Hamiltonian equations. Zbl 0865.35121
Fokas, A. S.; Olver, P. J.; Rosenau, P.
14
1997
Integrability of linear and nonlinear evolution equations and the associated nonlinear Fourier transforms. Zbl 0807.35138
Fokas, A. S.; Gelfand, I. M.
14
1994
Quadratic and cubic invariants in classical mechanics. Zbl 0432.70027
Fokas, A. S.; Lagerstrom, P. A.
14
1980
The Korteweg-de Vries equation on the half-line. Zbl 1335.35216
Fokas, Athanassios S.; Himonas, A. Alexandrou; Mantzavinos, Dionyssios
13
2016
Linearizable initial boundary value problems for the sine-Gordon equation on the half-line. Zbl 1058.37053
Fokas, A. S.
13
2004
Soliton generation for initial-boundary value problems. Zbl 0969.35537
Fokas, A. S.; Its, A. R.
13
1992
Electro-magneto-encephalography for a three-shell model: dipoles and beyond for the spherical geometry. Zbl 1169.35386
Dassios, G.; Fokas, A. S.
12
2009
Evolution of methacrylate distribution during wood saturation. Zbl 1064.92030
Fokas, A. S.; Rogers, C.; Schief, W. K.
12
2005
The modified Helmholtz equation in a semi-strip. Zbl 1129.35321
Antipov, Y. A.; Fokas, A. S.
12
2005
The fundamental differential form and boundary-value problems. Zbl 1055.35123
Fokas, A. S.; Zyskin, M.
12
2002
A formula for constructing infinitely many surfaces on Lie algebras and integrable equations. Zbl 0976.35064
Fokas, A. S.; Gel’fand, I. M.; Finkel, F.; Liu, Q. M.
12
2000
A new transform method. II: The global relation and boundary-value problems in polar coordinates. Zbl 1200.35072
Spence, E. A.; Fokas, A. S.
11
2010
An adaptive complex collocation method for solving linear elliptic PDEs in regular convex polygons based on the unified transform. Zbl 1449.65333
Grylonakis, E.-N. G.; Filelis-Papadopoulos, C. K.; Grawanis, G. A.; Fokas, A. S.
1
2019
Rogue waves of the nonlocal Davey-Stewartson I equation. Zbl 1398.35192
Rao, Jiguang; Zhang, Yongshuai; Fokas, Athanassios S.; He, Jingsong
20
2018
Initial-boundary value problems associated with the Ablowitz-Ladik system. Zbl 1380.35146
Xia, Baoqiang; Fokas, A. S.
14
2018
Complexification and integrability in multidimensions. Zbl 1406.35329
Fokas, A. S.; van der Weele, M. C.
5
2018
Solving PDEs of fractional order using the unified transform method. Zbl 1428.35661
Fernandez, Arran; Baleanu, Dumitru; Fokas, Athanassios S.
3
2018
Asymptotics to all orders of the Hurwitz zeta function. Zbl 1444.11186
Fernandez, Arran; Fokas, Athanassios S.
2
2018
Computing eigenvalues and eigenfunctions of the Laplacian for convex polygons. Zbl 1380.65351
Colbrook, Matthew J.; Fokas, Athanasisos S.
2
2018
The nonlinear Schrödinger equation on the half-line. Zbl 1351.35182
Fokas, Athanassios S.; Himonas, A. Alexandrou; Mantzavinos, Dionyssios
18
2017
Water waves with moving boundaries. Zbl 1419.76084
Fokas, Athanasios S.; Kalimeris, Konstantinos
1
2017
Linear elliptic PDEs in a cylindrical domain with a polygonal cross-section. Zbl 1377.35065
Hitzazis, I.; Fokas, A. S.
1
2017
Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation. Zbl 1339.37066
Fokas, A. S.
59
2016
The Korteweg-de Vries equation on the half-line. Zbl 1335.35216
Fokas, Athanassios S.; Himonas, A. Alexandrou; Mantzavinos, Dionyssios
13
2016
Evolution PDEs and augmented eigenfunctions. Finite interval. Zbl 1375.35283
Fokas, A. S.; Smith, D. A.
4
2016
A novel non-local formulation of water waves. Zbl 1360.76050
Fokas, Athanassios S.; Kalimeris, Konstantinos
2
2016
The nonlinear Schrödinger equation with \(t\)-periodic data: II: Perturbative results. Zbl 1371.35274
Lenells, J.; Fokas, A. S.
10
2015
A numerical technique for linear elliptic partial differential equations in polygonal domains. Zbl 1372.65315
Hashemzadeh, P.; Fokas, A. S.; Smitheman, S. A.
10
2015
The nonlinear Schrödinger equation with \(t\)-periodic data: I. Exact results. Zbl 1371.35273
Lenells, J.; Fokas, A. S.
9
2015
Unified transform for boundary value problems. Applications and advances. Zbl 1311.65001
Fokas, Athanassios S. (ed.); Pelloni, Beatrice (ed.)
8
2015
The unified transform for the heat equation. II. Non-separable boundary conditions in two dimensions. Zbl 1387.35322
Mantzavinos, D.; Fokas, A. S.
5
2015
Elliptic equations with low regularity boundary data via the unified method. Zbl 1318.35014
Ashton, A. C. L.; Fokas, A. S.
5
2015
The unified transform in polygonal domains via the explicit Fourier transform of Legendre polynomials. Zbl 1346.65061
Fokas, A. S.; Iserles, A.; Smitheman, S. A.
3
2015
The unified transform for the modified Helmholtz equation in the exterior of a square. Zbl 1347.65183
Fokas, A. S.; Lenells, J.
2
2015
The Poisson and the biharmonic equations in the interior of a convex polygon. Zbl 1318.35005
Dimakos, M.; Fokas, A. S.
1
2015
Eigenvalues for the Laplace operator in the interior of an equilateral triangle. Zbl 1323.35108
Fokas, A. S.; Kalimeris, K.
3
2014
The definite non-uniqueness results for deterministic EEG and MEG data. Zbl 1272.92033
Dassios, George; Fokas, A. S.
8
2013
Davey-Stewartson type equations in \(4+2\) and \(3+1\) possessing soliton solutions. Zbl 1290.35199
Dimakos, M.; Fokas, A. S.
7
2013
Boundary value problems for the elliptic sine-Gordon equation in a semi-strip. Zbl 1267.35094
Fokas, A. S.; Lenells, J.; Pelloni, B.
6
2013
The unified method for the heat equation. I: Non-separable boundary conditions and non-local constraints in one dimension. Zbl 1293.35131
Mantzavinos, Dionyssios; Fokas, Athanassios S.
2
2013
Rogue wave management in an inhomogeneous nonlinear fibre with higher order effects. Zbl 1420.35357
He, J. S.; Tao, Y. S.; Porsezian, K.; Fokas, A. S.
1
2013
The Laplace equation in the exterior of the Hankel contour and novel identities for hypergeometric functions. Zbl 1371.35029
Fokas, A. S.; Glasser, M. L.
1
2013
The unified method. I: Nonlinearizable problems on the half-line. Zbl 1256.35044
Fokas, A. S.; Lenells, J.
36
2012
Synthesis, as opposed to separation, of variables. Zbl 1387.35013
Fokas, A. S.; Spence, E. A.
18
2012
The unified method. II: NLS on the half-line with \(t\)-periodic boundary conditions. Zbl 1256.35045
Lenells, J.; Fokas, A. S.
18
2012
The unified method. III: Nonlinearizable problems on the interval. Zbl 1256.35046
Lenells, J.; Fokas, A. S.
17
2012
Water waves over a variable bottom: a non-local formulation and conformal mappings. Zbl 1250.76035
Fokas, A. S.; Nachbin, A.
15
2012
Electro-magneto-encephalography for the three-shell model: numerical implementation via splines for distributed current in spherical geometry. Zbl 1243.78030
Fokas, A S; Hauk, O; Michel, V
9
2012
The Dirichlet-to-Neumann map for the elliptic sine-Gordon equation. Zbl 1241.35069
Fokas, A. S.; Pelloni, B.
7
2012
Electro-magneto-encephalography for the three-shell model: minimal \(L^2\)-norm in spherical geometry. Zbl 1243.78040
Fokas, A. S.; Kurylev, Y.
6
2012
Electro-magneto-encephalography for the three-shell model : a single dipole in ellipsoidal geometry. Zbl 1250.92022
Dassios, G.; Fokas, A. S.
3
2012
Hamiltonians and conjugate Hamiltonians of some fourth-order nonlinear ODEs. Zbl 1331.70049
Guha, Partha; Ghose Choudhury, A.; Fokas, A. S.
2
2012
On a novel class of integrable ODEs related to the Painlevé equations. Zbl 1258.34176
Fokas, Athanassios S.; Yang, Di
1
2012
Generalized Dirichlet-to-Neumann map in time-dependent domains. Zbl 1250.35156
Fokas, A. S.; Pelloni, B.
1
2012
A non-local formulation of rotational water waves. Zbl 1241.76081
Ashton, A. C. L.; Fokas, A. S.
21
2011
Boundary-value problems for the stationary axisymmetric Einstein equations: a rotating disc. Zbl 1221.35416
Lenells, J.; Fokas, A. S.
17
2011
Conformal mappings to multiply connected polycircular arc domains. Zbl 1243.30008
Crowdy, Darren G.; Fokas, Athanassios S.; Green, Christopher C.
9
2011
Well-posedness of an integrable generalization of the nonlinear Schrödinger equation on the circle. Zbl 1216.35136
Fokas, Athanasios S.; Himonas, A. Alexandrou
5
2011
The Kadomtsev-Petviashvili II equation on the half-plane. Zbl 1216.35121
Mantzavinos, D.; Fokas, A. S.
4
2011
Explicit soliton asymptotics for the Korteweg-de Vries equation on the half-line. Zbl 1211.37084
Fokas, A. S.; Lenells, J.
22
2010
A spectral collocation method for the Laplace and modified Helmholtz equations in a convex polygon. Zbl 1202.65161
Smitheman, S. A.; Spence, E. A.; Fokas, A. S.
19
2010
A new transform method. II: The global relation and boundary-value problems in polar coordinates. Zbl 1200.35072
Spence, E. A.; Fokas, A. S.
11
2010
A new transform method. I: Domain-dependent fundamental solutions and integral representations. Zbl 1200.35071
Spence, E. A.; Fokas, A. S.
9
2010
On a novel integrable generalization of the sine-Gordon equation. Zbl 1309.35138
Lenells, J.; Fokas, A. S.
7
2010
The heat equation in the interior of an equilateral triangle. Zbl 1189.35045
Kalimeris, K.; Fokas, A. S.
6
2010
Laplace’s equation in the exterior of a convex polygon. The equilateral triangle. Zbl 1214.35013
Charalambopoulos, A.; Dassios, G.; Fokas, A. S.
1
2010
On a novel integrable generalization of the nonlinear Schrödinger equation. Zbl 1160.35536
Lenells, J.; Fokas, A. S.
34
2009
An integrable generalization of the nonlinear Schrödinger equation on the half-line and solitons. Zbl 1181.35335
Lenells, J.; Fokas, A. S.
25
2009
Highly oscillatory problems. Zbl 1170.37002
Engquist, Bjorn (ed.); Fokas, Athanasios (ed.); Hairer, Ernst (ed.); Iserles, Arieh (ed.)
16
2009
Electro-magneto-encephalography for a three-shell model: dipoles and beyond for the spherical geometry. Zbl 1169.35386
Dassios, G.; Fokas, A. S.
12
2009
A semi-analytical numerical method for solving evolution and elliptic partial differential equations. Zbl 1170.65079
Fokas, A. S.; Flyer, N.; Smitheman, S. A.; Spence, E. A.
9
2009
The Davey-Stewartson equation on the half-plane. Zbl 1172.35075
Fokas, A. S.
8
2009
Kadomtsev-Petviashvili equation revisited and integrability in \(4 + 2\) and \(3 + 1\). Zbl 1172.35478
Fokas, A. S.
5
2009
Lax pairs: a novel type of separability. Zbl 1198.35220
Fokas, A. S.
4
2009
Novel analytical and numerical methods for elliptic boundary value problems. Zbl 1180.37104
Fokas, Athanasios S.; Spence, Euan A.
3
2009
A novel method of solution for the fluid-loaded plate. Zbl 1195.35285
Ashton, A. C. L.; Fokas, A. S.
1
2009
Electro-magneto-encephalography and fundamental solutions. Zbl 1189.35325
Dassios, G.; Fokas, A. S.
1
2009
A unified approach to boundary value problems. Zbl 1181.35002
Fokas, Athanassios S.
119
2008
A hybrid analytical-numerical method for solving evolution partial differential equations. I. The half-line. Zbl 1156.65089
Flyer, N.; Fokas, A. S.
19
2008
The generalized Dirichlet-Neumann map for linear elliptic PDEs and its numerical implementation. Zbl 1152.65113
Sifalakis, A. G.; Fokas, A. S.; Fulton, S. R.; Saridakis, Y. G.
19
2008
A unified approach to various techniques for the non-uniqueness of the inverse gravimetric problem and wavelet-based methods. Zbl 1168.35047
Michel, V.; Fokas, A. S.
17
2008
Initial-boundary-value problems for linear and integrable nonlinear dispersive partial differential equations. Zbl 1230.30026
Bona, J. L.; Fokas, A. S.
16
2008
The generalized Dirichlet to Neumann map for the KdV equation on the half-line. Zbl 1187.35225
Treharne, P. A.; Fokas, A. S.
9
2008
Generalized Fourier transforms, inverse problems, and integrability in \(4+2\). Zbl 1165.35478
Fokas, A. S.
7
2008
Soliton multidimensional equations and integrable evolutions preserving Laplace’s equation. Zbl 1217.35160
Fokas, A. S.
6
2008
The \(d\)-bar method, inversion of certain integrals and integrability in \(4+2\) and \(3+1\) dimensions. Zbl 1158.35094
Fokas, A. S.
5
2008
Methods for solving elliptic PDEs in spherical coordinates. Zbl 1154.35023
Dassios, G.; Fokas, A. S.
5
2008
On the asymptotic linearization of acoustic waves. Zbl 1171.35017
Fokas, Athanassios S.; Luo, Laihan
2
2008
Nonlinear Fourier transforms and integrability in multidimensions. Zbl 1153.37036
Fokas, A. S.
2
2008
Generalized Dirichlet to Neumann map for moving initial-boundary value problems. Zbl 1121.35116
Fokas, A. S.; Pelloni, B.
9
2007
The Dirichlet-to-Neumann map for the heat equation on a moving boundary. Zbl 1127.35086
De Lillo, S.; Fokas, A. S.
8
2007
Conformal mappings to a doubly connected polycircular arc domain. Zbl 1153.30004
Crowdy, D. G.; Fokas, A. S.
7
2007
Nonlinear Fourier transforms, integrability and nonlocality in multidimensions. Zbl 1155.35434
Fokas, A. S.
5
2007
Quaternions, evaluation of integrals and boundary value problems. Zbl 1157.30033
Fokas, Athanassios S.; Pinotsis, Dimitrios A.
4
2007
On the complementarity of electroencephalography and magnetoencephalography. Zbl 1387.78008
Dassios, G.; Fokas, A. S.; Hadjiloizi, D.
4
2007
From Green to Lax via Fourier. Zbl 1142.35061
Fokas, A. S.
1
2007
Initial-boundary value problems for linear PDEs with variable coefficients. Zbl 1117.35302
Treharne, P. A.; Fokas, A. S.
1
2007
Painlevé transcendents. The Riemann-Hilbert approach. Zbl 1111.34001
Fokas, Athanassios S.; Its, Alexander R.; Kapaev, Andrei A.; Novokshenov, Victor Yu.
130
2006
On a new non-local formulation of water waves. Zbl 1098.76013
Ablowitz, M. J.; Fokas, A. S.; Musslimani, Z. H.
48
2006
Integrable nonlinear evolution equations on a finite interval. Zbl 1131.37064
Boutet de Monvel, Anne; Fokas, Athanassis S.; Shepelsky, Dmitry
36
2006
Integrable nonlinear evolution partial differential equations in \(4+2\) and \(3+1\) dimensions. Zbl 1228.35199
Fokas, A. S.
20
2006
The Dbar formalism for certain linear non-homogeneous elliptic PDEs in two dimensions. Zbl 1201.31003
Fokas, A. S.; Pinotsis, D. A.
9
2006
The nonlinear Schrödinger equation on the half-line. Zbl 1181.37095
Fokas, A. S.; Its, A. R.; Sung, L.-Y.
89
2005
A transform method for linear evolution PDEs on a finite interval. Zbl 1084.35002
Fokas, A. S.; Pelloni, B.
38
2005
The generalized Dirichlet-to-Neumann map for certain nonlinear evolution PDEs. Zbl 1092.35102
Fokas, A. S.
38
2005
The basic elliptic equations in an equilateral triangle. Zbl 1186.35040
Dassios, G.; Fokas, A. S.
15
2005
Evolution of methacrylate distribution during wood saturation. Zbl 1064.92030
Fokas, A. S.; Rogers, C.; Schief, W. K.
12
2005
The modified Helmholtz equation in a semi-strip. Zbl 1129.35321
Antipov, Y. A.; Fokas, A. S.
12
2005
Localised coherent solutions of the DSI and DSII equations – a numerical study. Zbl 1119.65393
McConnell, M.; Fokas, A. S.; Pelloni, B.
10
2005
Boundary value problems for Boussinesq type systems. Zbl 1070.35030
Fokas, A. S.; Pelloni, B.
10
2005
On the non-uniqueness of the inverse MEG problem. Zbl 1070.35121
Dassios, G.; Fokas, A. S.; Kariotou, F.
10
2005
Generalized Fourier transforms, their nonlinearization and the imaging of the brain. Zbl 1076.42004
Fokas, A. S.; Sung, L.-Y.
6
2005
...and 139 more Documents
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Cited by 2,629 Authors

112 Fokas, Athanassios S.
70 Yin, Zhaoyang
44 Liu, Yue
43 Qu, Changzheng
42 Qiao, Zhijun
40 Ma, Wen-Xiu
37 Its, Alexander Rudolfovich
35 Lenells, Jonatan
28 Ablowitz, Mark Jay
27 Fan, Engui
26 Guo, Boling
24 He, Jingsong
24 Himonas, A. Alexandrou
23 Clarkson, Peter A.
23 Kuijlaars, Arno B. J.
23 Zhou, Shouming
22 Kaikina, Elena Igorevna
22 Mu, Chunlai
19 Fuchssteiner, Benno
19 Mi, Yongsheng
19 Rogers, Colin
19 Santini, Paolo Maria
18 Li, Jibin
18 Pelloni, Beatrice
17 Bertola, Marco
17 Deift, Percy A.
17 Pempinelli, Flora
17 Tian, Lixin
17 Xu, Shuaixia
16 Grammaticos, Basil
16 Gürses, Metin
16 Klein, Christian
16 Ramani, Alfred
16 Xu, Jian
16 Zhao, Yuqiu
15 Boiti, Marco
15 Constantin, Adrian
15 Dassios, George
15 Lakshmanan, Muthusamy
15 Li, Yongsheng
15 Mantzavinos, Dionyssios
15 Shepelsky, Dmitry
15 Wong, Roderick Sue-Chuen
15 Zhang, Dajun
14 Boutet de Monvel, Anne Marie
14 Claeys, Tom
14 Crowdy, Darren Gregory
14 Deconinck, Bernard
14 Sahadevan, Ramajayam
14 Zhu, Min
13 Carillo, Sandra
13 Dai, Dan
13 Fu, Ying
13 Guha, Partha
13 Liu, Xingxing
13 Prykarpatsky, Anatoliy Karolevych
13 Wazwaz, Abdul-Majid Abdul-Rahman
13 Yan, Wei
12 Cheng, Yi
12 Geng, Xianguo
12 Grava, Tamara
12 Rui, Weiguo
12 Wang, Jingping
11 Gui, Guilong
11 Guo, Fei
11 Hayashi, Nakao
11 Konopelchenko, Boris Georgievich
11 Miller, Peter D.
11 Saut, Jean-Claude
11 Shen, Chunyu
11 Trogdon, Thomas
10 Deaño, Alfredo
10 Estévez, Pilar G.
10 Hu, Qiaoyi
10 Olver, Peter John
10 Pogrebkov, Andrei K.
10 Ponce, Gustavo
10 Strampp, Walter
10 Tian, Shoufu
10 Xia, Baoqiang
10 Zhou, Yong
9 Ashton, Anthony C. L.
9 Biondini, Gino
9 Chen, Robin Ming
9 Ivanov, Rossen I.
9 Ji, Lina
9 Joshi, Nalini
9 Liu, Xiaochuan
9 Michel, Volker
9 Novikov, Roman G.
9 Oevel, Walter
9 Tian, Bo
9 Van Assche, Walter
9 Xia, Tie-Cheng
8 Aptekarev, Alexander Ivanovich
8 Baik, Jinho
8 Bothner, Thomas
8 Carroll, Robert L.
8 Chen, Dengyuan
8 Dubrovin, Boris Anatol’evich
...and 2,529 more Authors
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Cited in 313 Serials

353 Journal of Mathematical Physics
117 Journal of Mathematical Analysis and Applications
114 Journal of Differential Equations
103 Journal of Nonlinear Mathematical Physics
88 Communications in Mathematical Physics
87 Studies in Applied Mathematics
74 Physica D
65 Theoretical and Mathematical Physics
60 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
50 Discrete and Continuous Dynamical Systems
45 Nonlinear Dynamics
42 Letters in Mathematical Physics
40 Applied Mathematics and Computation
39 Applied Mathematics Letters
38 Applicable Analysis
37 Chaos, Solitons and Fractals
35 Journal of Approximation Theory
34 Journal of Fluid Mechanics
34 Journal of Computational and Applied Mathematics
34 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
30 Journal of Geometry and Physics
28 Journal of Nonlinear Science
27 Communications in Nonlinear Science and Numerical Simulation
25 Journal of Functional Analysis
25 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
24 Constructive Approximation
24 Nonlinear Analysis. Real World Applications
23 Physics Letters. A
22 Computers & Mathematics with Applications
22 Advances in Mathematics
21 Journal of Computational Physics
21 Monatshefte für Mathematik
21 Acta Applicandae Mathematicae
20 Nonlinearity
19 Applied Numerical Mathematics
18 Mathematical Methods in the Applied Sciences
18 ZAMP. Zeitschrift für angewandte Mathematik und Physik
17 Quarterly of Applied Mathematics
16 Wave Motion
15 Transactions of the American Mathematical Society
15 Advances in Mathematical Physics
14 Duke Mathematical Journal
14 Communications in Partial Differential Equations
14 SIAM Journal on Mathematical Analysis
14 Journal of Mathematical Sciences (New York)
13 Communications on Pure and Applied Mathematics
13 Journal of Statistical Physics
13 Functional Analysis and its Applications
13 Proceedings of the American Mathematical Society
13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
13 Mathematical Physics, Analysis and Geometry
12 Nuclear Physics. B
12 Computational Methods and Function Theory
11 Inverse Problems
11 Abstract and Applied Analysis
11 Communications in Theoretical Physics
10 Ukrainian Mathematical Journal
10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
10 Mathematical Problems in Engineering
10 Analysis and Applications (Singapore)
10 Random Matrices: Theory and Applications
9 International Journal of Theoretical Physics
9 Reports on Mathematical Physics
9 Acta Mathematicae Applicatae Sinica. English Series
9 Chaos
9 European Journal of Mechanics. B. Fluids
9 Journal of Evolution Equations
9 Boundary Value Problems
9 Complex Variables and Elliptic Equations
9 Journal of Physics A: Mathematical and Theoretical
9 Analysis and Mathematical Physics
8 Archive for Rational Mechanics and Analysis
8 Physica A
8 Mathematics and Computers in Simulation
8 Numerische Mathematik
8 Chinese Annals of Mathematics. Series B
8 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
7 International Journal of Modern Physics B
7 Annales de l’Institut Fourier
7 European Journal of Applied Mathematics
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Physics of Fluids
7 Physical Review Letters
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Mathematical and Computer Modelling
6 International Journal of Computer Mathematics
6 SIAM Journal on Applied Mathematics
6 SIAM Journal on Scientific Computing
6 Science China. Mathematics
5 Modern Physics Letters B
5 Mathematical Notes
5 Journal of Soviet Mathematics
5 Mathematische Annalen
5 Numerical Algorithms
5 Applied Mathematical Modelling
5 Journal of Mathematical Fluid Mechanics
5 Acta Mathematica Sinica. English Series
5 Journal of High Energy Physics
5 Annales Henri Poincaré
5 The ANZIAM Journal
...and 213 more Serials
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Cited in 57 Fields

2,010 Partial differential equations (35-XX)
951 Dynamical systems and ergodic theory (37-XX)
347 Fluid mechanics (76-XX)
276 Ordinary differential equations (34-XX)
217 Numerical analysis (65-XX)
166 Special functions (33-XX)
149 Quantum theory (81-XX)
131 Functions of a complex variable (30-XX)
105 Global analysis, analysis on manifolds (58-XX)
104 Probability theory and stochastic processes (60-XX)
96 Harmonic analysis on Euclidean spaces (42-XX)
81 Statistical mechanics, structure of matter (82-XX)
76 Differential geometry (53-XX)
76 Optics, electromagnetic theory (78-XX)
75 Linear and multilinear algebra; matrix theory (15-XX)
73 Difference and functional equations (39-XX)
66 Mechanics of particles and systems (70-XX)
62 Approximations and expansions (41-XX)
61 Operator theory (47-XX)
55 Mechanics of deformable solids (74-XX)
52 Integral equations (45-XX)
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31 Algebraic geometry (14-XX)
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