Edit Profile (opens in new tab) Fokas, Athanassios S. Co-Author Distance Author ID: fokas.athanassios-s Published as: Fokas, A. S.; Fokas, Athanassios S.; Fokas, Athanasios S.; Fokas, A.; Fokas, Athanasisos S.; Fokas, Athanassis S.; Fokas, Athanasis S.; Fokas, Athanassios; Fokas, Athanasios; Fokas, Thanasis more...less External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 297 Publications since 1978, including 8 Books 9 Contributions as Editor Co-Authors: 132 Co-Authors with 244 Joint Publications 4,372 Co-Co-Authors all top 5 Co-Authors 49 single-authored 21 Ablowitz, Mark Jay 17 Its, Alexander Rudolfovich 16 Santini, Paolo Maria 15 Lenells, Jonatan 15 Pelloni, Beatrice 12 Dassios, George 10 Gel’fand, Israil’ Moiseevich 7 Kalimeris, Konstantinos 7 Spence, Euan A. 5 Kitaev, Alexander V. 5 Mantzavinos, Dionyssios 4 Kapaev, Andrei A. 4 Marinakis, Vangelis 4 Papageorgiou, Vassilios G. 4 Saridakis, Yiannis G. 4 Shepelsky, Dmitry 4 Smitheman, S. A. 4 van der Weele, M. C. 3 Ashton, Anthony C. L. 3 Biondini, Gino 3 Boutet de Monvel, Anne Marie 3 Colbrook, Matthew J. 3 Crowdy, Darren Gregory 3 Dimakos, M. 3 Fernandez, Arran 3 Finkel, Federico 3 He, Jingsong 3 Himonas, A. Alexandrou 3 Kastis, George A. 3 Kibble, Tom W. B. 3 Kurylëv, Yaroslav Vadimovich 3 Lagerstrom, Paco A. 3 Luo, Laihan 3 Michel, Volker 3 Mugan, Ugurhan 3 Papadopoulou, Elena P. 3 Treharne, P. A. 3 Zegarlinski, Boguslaw 3 Zhou, Xin 2 Ayton, Lorna J. 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 Iserles, Arieh 2 Kamvissis, Spyridon 2 Novokshenov, Viktor Yur’evich 2 Pelinovsky, Dmitry Efimovich 2 Pinotsis, Dimitrios A. 2 Protonotarios, Nicholas E. 2 Rao, Jiguang 2 Rogers, Colin 2 Smith, David Andrew 2 Vayenas, C. G. 2 Xia, Baoqiang 2 Yortsos, Yannis C. 2 Zakharov, Vladimir Evgen’evich 2 Zyskin, M. V. 1 Álvarez Paiva, Juan Carlos 1 Antipov, Yuri A. 1 Băleanu, Dumitru I. 1 Bar Yaacov, D. 1 Batal, Ahmet 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 Cuevas Maraver, Jesús 1 De Lillo, Silvana 1 Deconinck, Bernard 1 Dikaios, Nikolaos 1 Doering, Charles Rogers 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. Lawrence 1 Grammaticos, Basil 1 Gravvanis, George A. 1 Grawanis, G. A. 1 Green, Christopher C. 1 Grigoriou, D. P. 1 Grimshaw, Roger Hamilton James 1 Guha, Partha 1 Hadjiloizi, Demetra 1 Hairer, Ernst 1 Hauk, Olaf 1 Hitzazis, Iasonas 1 Hwang, Guenbo 1 Ioannidou, T. A. 1 Kalamvokas, P. ...and 33 more Co-Authors all top 5 Serials 23 Journal of Mathematical Physics 20 Studies in Applied Mathematics 19 Inverse Problems 14 Nonlinearity 12 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 10 Communications in Mathematical Physics 10 Physica D 7 IMA Journal of Applied Mathematics 6 Journal of Mathematical Analysis and Applications 6 Letters in Mathematical Physics 6 Mathematical Proceedings of the Cambridge Philosophical Society 5 Journal of Nonlinear Science 5 Journal of Nonlinear Mathematical Physics 5 Computational Methods and Function Theory 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 Journal of Fluid Mechanics 4 Physics Letters. A 4 Journal of Computational and Applied Mathematics 4 SIAM Journal on Applied Mathematics 4 Physical Review Letters 4 Journal of Physics A: Mathematical and Theoretical 3 Communications on Pure and Applied Mathematics 3 Quarterly of Applied Mathematics 3 European Journal of Applied Mathematics 3 Cambridge Texts in Applied Mathematics 2 Physica A 2 Theoretical and Mathematical Physics 2 Chaos, Solitons and Fractals 2 Mathematics and Computers in Simulation 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 1 Computer Methods in Applied Mechanics and Engineering 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 Applied Mathematics and Computation 1 Duke Mathematical Journal 1 Memoirs of the American Mathematical Society 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 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 1 Transactions of Mathematics and its Applications all top 5 Fields 227 Partial differential equations (35-XX) 87 Dynamical systems and ergodic theory (37-XX) 25 Numerical analysis (65-XX) 25 Biology and other natural sciences (92-XX) 23 Functions of a complex variable (30-XX) 23 Fluid mechanics (76-XX) 18 Ordinary differential equations (34-XX) 16 Optics, electromagnetic theory (78-XX) 14 Global analysis, analysis on manifolds (58-XX) 14 Quantum theory (81-XX) 11 General and overarching topics; collections (00-XX) 10 Integral transforms, operational calculus (44-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Integral equations (45-XX) 8 Relativity and gravitational theory (83-XX) 7 Computer science (68-XX) 6 Difference and functional equations (39-XX) 6 Mechanics of particles and systems (70-XX) 5 Number theory (11-XX) 5 Differential geometry (53-XX) 5 Mechanics of deformable solids (74-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Operator theory (47-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Probability theory and stochastic processes (60-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 258 Publications have been cited 6,541 times in 3,660 Documents Cited by ▼ Year ▼ Symplectic structures, their Bäcklund transformations and hereditary symmetries. Zbl 1194.37114Fuchssteiner, B.; Fokas, A. S. 886 1981 On a class of physically important integrable equations. Zbl 1194.35363Fokas, A. S. 239 1995 A unified transform method for solving linear and certain nonlinear PDEs. Zbl 0876.35102Fokas, A. S. 233 1997 The isomonodromy approach to matrix models in 2D quantum gravity. Zbl 0760.35051Fokas, A. S.; Its, A. R.; Kitaev, A. V. 232 1992 Painlevé transcendents. The Riemann-Hilbert approach. Zbl 1111.34001Fokas, Athanassios S.; Its, Alexander R.; Kapaev, Andrei A.; Novokshenov, Victor Yu. 192 2006 Complex variables: introduction and applications. 2nd ed. Zbl 1088.30001Ablowitz, Mark J.; Fokas, Athanassios S. 165 2003 A unified approach to boundary value problems. Zbl 1181.35002Fokas, Athanassios S. 159 2008 Integrable nonlinear evolution equations on the half-line. Zbl 1010.35089Fokas, A. S. 131 2002 The nonlinear Schrödinger equation on the half-line. Zbl 1181.37095Fokas, A. S.; Its, A. R.; Sung, L.-Y. 115 2005 Symmetries and integrability. Zbl 0639.35075Fokas, A. S. 112 1987 Discrete Painlevé equations and their appearance in quantum gravity. Zbl 0742.35047Fokas, A. S.; Its, A. R.; Kitaev, A. V. 108 1991 Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation. Zbl 1339.37066Fokas, A. S. 104 2016 On the inverse scattering transform for the Kadomtsev-Petviashvili equation. Zbl 0527.35080Ablowitz, M. J.; Bar Yaacov, D.; Fokas, A. S. 96 1983 The inverse scattering transform for the Benjamin-Ono equation A pivot to multidimensional problems. Zbl 0505.76031Fokas, A. S.; Ablowitz, M. J. 90 1983 On the inverse scattering transform of multidimensional nonlinear equations related to first-order systems in the plane. Zbl 0557.35110Fokas, A. S.; Ablowitz, M. J. 87 1984 A symmetry approach to exactly solvable evolution equations. Zbl 0455.35109Fokas, A. S. 78 1980 Complex variables: introduction and applications. Zbl 0885.30001Ablowitz, Mark J.; Fokas, Athanassios S. 62 1997 On the inverse scattering of the time-dependent Schrödinger equation and the associated Kadomtsev-Petviashvili equation. Zbl 0528.35079Fokas, A. S.; Ablowitz, M. J. 62 1983 Dromions and a boundary value problem for the Davey-Stewartson 1 equation. Zbl 0707.35144Fokas, A. S.; Santini, P. M. 61 1990 The linearization of the initial-boundary value problem of the nonlinear Schrödinger equation. Zbl 0851.35122Fokas, A. S.; Its, A. R. 60 1996 The unified method. I: Nonlinearizable problems on the half-line. Zbl 1256.35044Fokas, A. S.; Lenells, J. 60 2012 Nonlinear interaction of traveling waves of nonintegrable equations. Zbl 0973.35502Fokas, A. S.; Liu, Q. M. 58 1994 Recursion operators and bi-Hamiltonian structures in multidimensions. II. Zbl 0706.35129Fokas, A. S.; Santini, P. M. 58 1988 On a unified approach to transformations and elementary solutions of Painleve equations. Zbl 0504.34022Fokas, A. S.; Ablowitz, M. J. 56 1982 On the use of isospectral eigenvalue problems for obtaining hereditary symmetries for Hamiltonian systems. Zbl 0495.58016Fokas, A. S.; Anderson, R. L. 56 1982 On a new non-local formulation of water waves. Zbl 1098.76013Ablowitz, M. J.; Fokas, A. S.; Musslimani, Z. H. 56 2006 Two-dimensional linear partial differential equations in a convex polygon. Zbl 0988.35129Fokas, A. S. 56 2001 Recursion operators and bi-Hamiltonian structures in multidimensions. I. Zbl 0674.35074Santini, P. M.; Fokas, A. S. 53 1988 The Korteweg-de Vries equation and beyond. Zbl 0842.58045Fokas, A. S. 52 1995 A new transform method for evolution partial differential equations. Zbl 1028.35009Fokas, A. S. 52 2002 On a novel integrable generalization of the nonlinear Schrödinger equation. Zbl 1160.35536Lenells, J.; Fokas, A. S. 51 2009 On the integrability of linear and nonlinear partial differential equations. Zbl 0994.37036Fokas, A. S. 49 2000 The mKdV equation on the half-line. Zbl 1057.35050Boutet de Monvel, A.; Fokas, A. S.; Shepelsky, D. 48 2004 Asymptotic integrability of water waves. Zbl 0982.76511Fokas, A. S.; Liu, Q. M. 48 1996 From continuous to discrete Painlevé equations. Zbl 0794.34013Fokas, A. S.; Grammaticos, B.; Ramani, A. 47 1993 The generalized Dirichlet-to-Neumann map for certain nonlinear evolution PDEs. Zbl 1092.35102Fokas, A. S. 47 2005 The nonlinear Schrödinger equation on the interval. Zbl 1057.37063Fokas, A. S.; Its, A. R. 46 2004 On the solvability of the \(N\)-wave, Davey-Stewartson and Kadomtsev- Petviashvili equations. Zbl 0768.35069Fokas, A. S.; Sung, L.-Y. 44 1992 A transform method for linear evolution PDEs on a finite interval. Zbl 1084.35002Fokas, A. S.; Pelloni, B. 44 2005 Interaction of lumps with a line soliton for the DSII equation. Zbl 0977.35132Fokas, A. S.; Pelinovsky, D. E.; Sulem, C. 42 2001 The unique determination of neuronal currents in the brain via magnetoencephalography. Zbl 1075.92012Fokas, A. S.; Kurylev, Y.; Marinakis, V. 41 2004 Integrable nonlinear evolution equations on a finite interval. Zbl 1131.37064Boutet de Monvel, Anne; Fokas, Athanassis S.; Shepelsky, Dmitry 40 2006 Rogue waves of the nonlocal Davey-Stewartson I equation. Zbl 1398.35192Rao, Jiguang; Zhang, Yongshuai; Fokas, Athanassios S.; He, Jingsong 38 2018 Analysis of the global relation for the nonlinear Schrödinger equation on the half-line. Zbl 1055.35107Boutet de Monvel, A.; Fokas, A. S.; Shepelsky, D. 38 2003 Integrable nonlinear evolution partial differential equations in \(4+2\) and \(3+1\) dimensions. Zbl 1228.35199Fokas, A. S. 37 2006 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 0488.76099Fokas, A. S.; Yortsos, Y. C. 36 1982 Forced nonlinear evolution equations and the inverse scattering transform. Zbl 0696.35135Fokas, A. S.; Ablowitz, M. J. 35 1989 The unified method. II: NLS on the half-line with \(t\)-periodic boundary conditions. Zbl 1256.35045Lenells, J.; Fokas, A. S. 35 2012 The dressing method and nonlocal Riemann-Hilbert problems. Zbl 0872.58032Fokas, A. S.; Zakharov, V. E. 33 1992 Surfaces on Lie groups, on Lie algebras, and their integrability (with an appendix by Juan Carlos Alvarez Paiva). Zbl 0864.53003Fokas, A. S.; Gelfand, I. M. 33 1996 An integrable generalization of the nonlinear Schrödinger equation on the half-line and solitons. Zbl 1181.35335Lenells, J.; Fokas, A. S. 33 2009 Hodograph transformations of linearizable partial differential equations. Zbl 0694.35005Clarkson, P. A.; Fokas, A. S.; Ablowitz, M. J. 32 1989 The nonlinear Schrödinger equation on the half-line. Zbl 1351.35182Fokas, Athanassios S.; Himonas, A. Alexandrou; Mantzavinos, Dionyssios 32 2017 Generalized conditional symmetries and exact solutions of non-integrable equations. Zbl 0850.35097Fokas, A. S.; Liu, Q. M. 31 1994 Bäcklund transformations for hereditary symmetries. Zbl 0491.35007Fokas, A. S.; Fuchssteiner, B. 31 1981 Important developments in soliton theory. Zbl 0801.00009 30 1993 On the solvability of Painlevé II and IV. Zbl 0758.35058Fokas, A. S.; Zhou, Xin 30 1992 An initial-boundary value problem for the Korteweg-de Vries equation. Zbl 0832.35125Fokas, A. S.; Its, A. R. 28 1994 The recursion operator of the Kadomtsev-Petviashvili equation and the squared eigenfunctions of the Schrödinger operator. Zbl 0613.35073Fokas, A. S.; Santini, P. M. 27 1986 Inverse scattering transform for the KPI equation on the background of a one-line soliton. Zbl 1033.35097Fokas, A. S.; Pogrebkov, A. K. 26 2003 The unified method. III: Nonlinearizable problems on the interval. Zbl 1256.35046Lenells, J.; Fokas, A. S. 25 2012 Synthesis, as opposed to separation, of variables. Zbl 1387.35013Fokas, A. S.; Spence, E. A. 25 2012 An initial-boundary value problem for the nonlinear Schrödinger equation. Zbl 0679.35076Fokas, A. S. 25 1989 The Korteweg-de Vries equation on the half-line. Zbl 1335.35216Fokas, Athanassios S.; Himonas, A. Alexandrou; Mantzavinos, Dionyssios 24 2016 Hamiltonian theory over noncommutative rings and integrability in multidimensions. Zbl 0771.58025Dorfman, I. Ya.; Fokas, A. S. 23 1992 A plethora of integrable bi-Hamiltonian equations. Zbl 0865.35121Fokas, A. S.; Olver, P. J.; Rosenau, P. 23 1997 Explicit soliton asymptotics for the Korteweg-de Vries equation on the half-line. Zbl 1211.37084Fokas, A. S.; Lenells, J. 23 2010 The isomonodromy approach in the theory of two-dimensional quantum gravitation. Zbl 0743.35055Its, A. R.; Kitaev, A. V.; Fokas, A. S. 22 1990 An analytical method for linear elliptic PDEs and its numerical implementation. Zbl 1050.65116Fulton, S. R.; Fokas, A. S.; Xenophontos, C. A. 22 2004 A unified approach to various techniques for the non-uniqueness of the inverse gravimetric problem and wavelet-based methods. Zbl 1168.35047Michel, V.; Fokas, A. S. 22 2008 Highly oscillatory problems. Zbl 1170.37002 21 2009 On the simplest integrable equation in \(2+1\). Zbl 0804.35124Fokas, A. S. 21 1994 Dynamically stretched vortices as solutions of the 3D Navier-Stokes equations. Zbl 0956.76018Gibbon, J. D.; Fokas, A. S.; Doering, C. R. 21 1999 A spectral collocation method for the Laplace and modified Helmholtz equations in a convex polygon. Zbl 1202.65161Smitheman, S. A.; Spence, E. A.; Fokas, A. S. 21 2010 A hybrid analytical-numerical method for solving evolution partial differential equations. I. The half-line. Zbl 1156.65089Flyer, N.; Fokas, A. S. 21 2008 A non-local formulation of rotational water waves. Zbl 1241.76081Ashton, A. C. L.; Fokas, A. S. 21 2011 On the limit from the intermediate long wave equation to the Benjamin-Ono equation. Zbl 0543.45008Santini, P. M.; Ablowitz, M. J.; Fokas, A. S. 20 1984 The generalized Dirichlet-Neumann map for linear elliptic PDEs and its numerical implementation. Zbl 1152.65113Sifalakis, A. G.; Fokas, A. S.; Fulton, S. R.; Saridakis, Y. G. 20 2008 An initial-boundary value problem for the sine-Gordon equation in laboratory coordinates. Zbl 0802.35133Fokas, A. S.; Its, A. R. 19 1992 Boundary-value problems for the stationary axisymmetric Einstein equations: a rotating disc. Zbl 1221.35416Lenells, J.; Fokas, A. S. 19 2011 Initial-boundary value problems associated with the Ablowitz-Ladik system. Zbl 1380.35146Xia, Baoqiang; Fokas, A. S. 19 2018 Integrability of linear and nonlinear evolution equations and the associated nonlinear Fourier transforms. Zbl 0807.35138Fokas, A. S.; Gelfand, I. M. 18 1994 On the solvability of Painlevé I, III and V. Zbl 0754.35107Fokas, A. S.; Mugan, Ugurhan; Zhou, Xin 18 1992 Soliton generation for initial-boundary value problems. Zbl 0969.35537Fokas, A. S.; Its, A. R. 18 1992 On the initial value problem of the second Painleve transcendent. Zbl 0524.35094Fokas, A. S.; Ablowitz, M. J. 18 1983 On a transform method for the Laplace equation in a polygon. Zbl 1170.37331Fokas, A. S.; Kapaev, A. A. 18 2003 A method of linearization for Painlevé equations: Painlevé IV, V. Zbl 0649.34006Fokas, A. S.; Mugan, U.; Ablowitz, M. J. 18 1988 Solving PDEs of fractional order using the unified transform method. Zbl 1428.35661Fernandez, Arran; Baleanu, Dumitru; Fokas, Athanassios S. 18 2018 Unified transform for boundary value problems. Applications and advances. Zbl 1311.65001 17 2015 Quadratic and cubic invariants in classical mechanics. Zbl 0432.70027Fokas, A. S.; Lagerstrom, P. A. 17 1980 Water waves over a variable bottom: a non-local formulation and conformal mappings. Zbl 1250.76035Fokas, A. S.; Nachbin, A. 17 2012 Initial-boundary-value problems for linear and integrable nonlinear dispersive partial differential equations. Zbl 1230.30026Bona, J. L.; Fokas, A. S. 17 2008 Explicit integral solutions for the plane elastostatic semi-strip. Zbl 1067.74022Crowdy, D. G.; Fokas, A. S. 16 2004 The Cauchy problem for the Kadomtsev-Petviashvili-I equation without the zero mass constraint. Zbl 0923.35152Fokas, A. S.; Sung, Li-Yeng 16 1999 Electro-magneto-encephalography for a three-shell model: dipoles and beyond for the spherical geometry. Zbl 1169.35386Dassios, G.; Fokas, A. S. 15 2009 The basic elliptic equations in an equilateral triangle. Zbl 1186.35040Dassios, G.; Fokas, A. S. 15 2005 The Davey-Stewartson equation on the half-plane. Zbl 1172.35075Fokas, A. S. 14 2009 The nonlinear Schrödinger equation with \(t\)-periodic data: II: Perturbative results. Zbl 1371.35274Lenells, J.; Fokas, A. S. 14 2015 A formula for constructing infinitely many surfaces on Lie algebras and integrable equations. Zbl 0976.35064Fokas, A. S.; Gel’fand, I. M.; Finkel, F.; Liu, Q. M. 14 2000 The Dirichlet-to-Neumann map for the elliptic sine-Gordon equation. Zbl 1241.35069Fokas, A. S.; Pelloni, B. 14 2012 On the asymptotics to all orders of the Riemann zeta function and of a two-parameter generalization of the Riemann zeta function. Zbl 1498.11005Fokas, Athanassios S.; Lenells, Jonatan 2 2022 Doubly localized two-dimensional rogue waves in the Davey-Stewartson I equation. Zbl 1472.35089Rao, Jiguang; Fokas, Athanassios S.; He, Jingsong 14 2021 The implementation of the unified transform to the nonlinear Schrödinger equation with periodic initial conditions. Zbl 1466.35325Deconinck, B.; Fokas, A. S.; Lenells, J. 1 2021 The unified transform for evolution equations on the half-line with time-periodic boundary conditions. Zbl 1484.35054Fokas, A. S.; van der Weele, M. C. 1 2021 Fokas method for linear boundary value problems involving mixed spatial derivatives. Zbl 1472.35210Batal, A.; Fokas, A. S.; Özsarı, T. 4 2020 Electro-magnetoencephalography for a spherical multiple-shell model: novel integral operators with singular-value decompositions. Zbl 1470.92173Leweke, S.; Michel, V.; Fokas, A. S. 3 2020 Explicit asymptotics for certain single and double exponential sums. Zbl 1437.11120Kalimeris, K.; Fokas, A. S. 2 2020 Electroencephalography and magnetoencephalography. An analytical-numerical approach. Zbl 1454.92019Dassios, George; Fokas, Athanassios S. 1 2020 A quantitative framework for exploring exit strategies from the COVID-19 lockdown. Zbl 1495.92082Fokas, A. S.; Cuevas-Maraver, J.; Kevrekidis, P. G. 1 2020 The unified transform for mixed boundary condition problems in unbounded domains. Zbl 1472.74115Colbrook, Matthew J.; Ayton, Lorna J.; Fokas, Athanassios S. 7 2019 Helmholtz decomposition of the neuronal current for the ellipsoidal head model. Zbl 1405.92134Hashemzadeh, Parham; Fokas, Athanassios S. 2 2019 A new approach for the inversion of the attenuated Radon transform. Zbl 1444.92060Protonotarios, Nicholas E.; Kastis, George A.; Fokas, Athanassios S. 1 2019 An iterative spatial-stepping numerical method for linear elliptic PDEs using the unified transform. Zbl 1506.65244Grylonakis, E.-N. G.; Filelis-Papadopoulos, C. K.; Gravvanis, G. A.; Fokas, A. S. 1 2019 Evolution equations on time-dependent intervals. Zbl 1428.35090Fokas, Athanasios S.; Pelloni, Beatrice; Xia, Baoqiang 1 2019 An adaptive complex collocation method for solving linear elliptic PDEs in regular convex polygons based on the unified transform. Zbl 1449.65333Grylonakis, E.-N. G.; Filelis-Papadopoulos, C. K.; Grawanis, G. A.; Fokas, A. S. 1 2019 A novel approach to the Lindelöf hypothesis. Zbl 1490.11085Fokas, A. S. 1 2019 Rogue waves of the nonlocal Davey-Stewartson I equation. Zbl 1398.35192Rao, Jiguang; Zhang, Yongshuai; Fokas, Athanassios S.; He, Jingsong 38 2018 Initial-boundary value problems associated with the Ablowitz-Ladik system. Zbl 1380.35146Xia, Baoqiang; Fokas, A. S. 19 2018 Solving PDEs of fractional order using the unified transform method. Zbl 1428.35661Fernandez, Arran; Baleanu, Dumitru; Fokas, Athanassios S. 18 2018 Complexification and integrability in multidimensions. Zbl 1406.35329Fokas, A. S.; van der Weele, M. C. 8 2018 Asymptotics to all orders of the Hurwitz zeta function. Zbl 1444.11186Fernandez, Arran; Fokas, Athanassios S. 3 2018 Computing eigenvalues and eigenfunctions of the Laplacian for convex polygons. Zbl 1380.65351Colbrook, Matthew J.; Fokas, Athanasisos S. 3 2018 The nonlinear Schrödinger equation on the half-line. Zbl 1351.35182Fokas, Athanassios S.; Himonas, A. Alexandrou; Mantzavinos, Dionyssios 32 2017 Water waves with moving boundaries. Zbl 1419.76084Fokas, Athanasios S.; Kalimeris, Konstantinos 1 2017 Linear elliptic PDEs in a cylindrical domain with a polygonal cross-section. Zbl 1377.35065Hitzazis, I.; Fokas, A. S. 1 2017 Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation. Zbl 1339.37066Fokas, A. S. 104 2016 The Korteweg-de Vries equation on the half-line. Zbl 1335.35216Fokas, Athanassios S.; Himonas, A. Alexandrou; Mantzavinos, Dionyssios 24 2016 Evolution PDEs and augmented eigenfunctions. Finite interval. Zbl 1375.35283Fokas, A. S.; Smith, D. A. 6 2016 A novel non-local formulation of water waves. Zbl 1360.76050Fokas, Athanassios S.; Kalimeris, Konstantinos 3 2016 Unified transform for boundary value problems. Applications and advances. Zbl 1311.65001 17 2015 The nonlinear Schrödinger equation with \(t\)-periodic data: II: Perturbative results. Zbl 1371.35274Lenells, J.; Fokas, A. S. 14 2015 The nonlinear Schrödinger equation with \(t\)-periodic data: I. Exact results. Zbl 1371.35273Lenells, J.; Fokas, A. S. 12 2015 A numerical technique for linear elliptic partial differential equations in polygonal domains. Zbl 1372.65315Hashemzadeh, P.; Fokas, A. S.; Smitheman, S. A. 11 2015 The unified transform for the heat equation. II. Non-separable boundary conditions in two dimensions. Zbl 1387.35322Mantzavinos, D.; Fokas, A. S. 6 2015 Elliptic equations with low regularity boundary data via the unified method. Zbl 1318.35014Ashton, A. C. L.; Fokas, A. S. 5 2015 The unified transform in polygonal domains via the explicit Fourier transform of Legendre polynomials. Zbl 1346.65061Fokas, A. S.; Iserles, A.; Smitheman, S. A. 3 2015 The Poisson and the biharmonic equations in the interior of a convex polygon. Zbl 1318.35005Dimakos, M.; Fokas, A. S. 2 2015 Mathematical methods in PET and SPECT imaging. 2nd edition. Zbl 1395.94031Fokas, Athanasios S.; Kastis, George A. 2 2015 The unified transform for the modified Helmholtz equation in the exterior of a square. Zbl 1347.65183Fokas, A. S.; Lenells, J. 2 2015 Linearisable nonlinear partial differential equations in multidimensions. Zbl 1310.35014Dimakos, M.; Fokas, A. S. 1 2015 Evolution problems: nonlinear. Zbl 1346.65045Biondini, G.; Fokas, A. S.; Shepelsky, D. 1 2015 Eigenvalues for the Laplace operator in the interior of an equilateral triangle. Zbl 1323.35108Fokas, A. S.; Kalimeris, K. 5 2014 Rogue wave management in an inhomogeneous nonlinear fibre with higher order effects. Zbl 1420.35357He, J. S.; Tao, Y. S.; Porsezian, K.; Fokas, A. S. 13 2013 The definite non-uniqueness results for deterministic EEG and MEG data. Zbl 1272.92033Dassios, George; Fokas, A. S. 10 2013 Boundary value problems for the elliptic sine-Gordon equation in a semi-strip. Zbl 1267.35094Fokas, A. S.; Lenells, J.; Pelloni, B. 9 2013 Davey-Stewartson type equations in \(4+2\) and \(3+1\) possessing soliton solutions. Zbl 1290.35199Dimakos, M.; Fokas, A. S. 9 2013 The modified Korteweg-de Vries equation on the half-line with a sine-wave as Dirichlet datum. Zbl 1420.37067Hwang, Guenbo; Fokas, A. S. 6 2013 The unified method for the heat equation. I: Non-separable boundary conditions and non-local constraints in one dimension. Zbl 1293.35131Mantzavinos, Dionyssios; Fokas, Athanassios S. 3 2013 The Laplace equation in the exterior of the Hankel contour and novel identities for hypergeometric functions. Zbl 1371.35029Fokas, A. S.; Glasser, M. L. 1 2013 The unified method. I: Nonlinearizable problems on the half-line. Zbl 1256.35044Fokas, A. S.; Lenells, J. 60 2012 The unified method. II: NLS on the half-line with \(t\)-periodic boundary conditions. Zbl 1256.35045Lenells, J.; Fokas, A. S. 35 2012 The unified method. III: Nonlinearizable problems on the interval. Zbl 1256.35046Lenells, J.; Fokas, A. S. 25 2012 Synthesis, as opposed to separation, of variables. Zbl 1387.35013Fokas, A. S.; Spence, E. A. 25 2012 Water waves over a variable bottom: a non-local formulation and conformal mappings. Zbl 1250.76035Fokas, A. S.; Nachbin, A. 17 2012 The Dirichlet-to-Neumann map for the elliptic sine-Gordon equation. Zbl 1241.35069Fokas, A. S.; Pelloni, B. 14 2012 Electro-magneto-encephalography for the three-shell model: numerical implementation via splines for distributed current in spherical geometry. Zbl 1243.78030Fokas, A. S.; Hauk, O.; Michel, V. 11 2012 Electro-magneto-encephalography for the three-shell model: minimal \(L^2\)-norm in spherical geometry. Zbl 1243.78040Fokas, A. S.; Kurylev, Y. 7 2012 Electro-magneto-encephalography for the three-shell model : a single dipole in ellipsoidal geometry. Zbl 1250.92022Dassios, G.; Fokas, A. S. 5 2012 Generalized Dirichlet-to-Neumann map in time-dependent domains. Zbl 1250.35156Fokas, A. S.; Pelloni, B. 4 2012 On a novel class of integrable ODEs related to the Painlevé equations. Zbl 1258.34176Fokas, Athanassios S.; Yang, Di 2 2012 Hamiltonians and conjugate Hamiltonians of some fourth-order nonlinear ODEs. Zbl 1331.70049Guha, Partha; Ghose Choudhury, A.; Fokas, A. S. 2 2012 A non-local formulation of rotational water waves. Zbl 1241.76081Ashton, A. C. L.; Fokas, A. S. 21 2011 Boundary-value problems for the stationary axisymmetric Einstein equations: a rotating disc. Zbl 1221.35416Lenells, J.; Fokas, A. S. 19 2011 Conformal mappings to multiply connected polycircular arc domains. Zbl 1243.30008Crowdy, Darren G.; Fokas, Athanassios S.; Green, Christopher C. 12 2011 Well-posedness of an integrable generalization of the nonlinear Schrödinger equation on the circle. Zbl 1216.35136Fokas, Athanasios S.; Himonas, A. Alexandrou 7 2011 The Kadomtsev-Petviashvili II equation on the half-plane. Zbl 1216.35121Mantzavinos, D.; Fokas, A. S. 6 2011 Explicit soliton asymptotics for the Korteweg-de Vries equation on the half-line. Zbl 1211.37084Fokas, A. S.; Lenells, J. 23 2010 A spectral collocation method for the Laplace and modified Helmholtz equations in a convex polygon. Zbl 1202.65161Smitheman, S. A.; Spence, E. A.; Fokas, A. S. 21 2010 A new transform method. II: The global relation and boundary-value problems in polar coordinates. Zbl 1200.35072Spence, E. A.; Fokas, A. S. 11 2010 A new transform method. I: Domain-dependent fundamental solutions and integral representations. Zbl 1200.35071Spence, E. A.; Fokas, A. S. 9 2010 On a novel integrable generalization of the sine-Gordon equation. Zbl 1309.35138Lenells, J.; Fokas, A. S. 8 2010 The heat equation in the interior of an equilateral triangle. Zbl 1189.35045Kalimeris, K.; Fokas, A. S. 7 2010 Laplace’s equation in the exterior of a convex polygon. The equilateral triangle. Zbl 1214.35013Charalambopoulos, A.; Dassios, G.; Fokas, A. S. 1 2010 On a novel integrable generalization of the nonlinear Schrödinger equation. Zbl 1160.35536Lenells, J.; Fokas, A. S. 51 2009 An integrable generalization of the nonlinear Schrödinger equation on the half-line and solitons. Zbl 1181.35335Lenells, J.; Fokas, A. S. 33 2009 Highly oscillatory problems. Zbl 1170.37002 21 2009 Electro-magneto-encephalography for a three-shell model: dipoles and beyond for the spherical geometry. Zbl 1169.35386Dassios, G.; Fokas, A. S. 15 2009 The Davey-Stewartson equation on the half-plane. Zbl 1172.35075Fokas, A. S. 14 2009 A semi-analytical numerical method for solving evolution and elliptic partial differential equations. Zbl 1170.65079Fokas, A. S.; Flyer, N.; Smitheman, S. A.; Spence, E. A. 11 2009 Kadomtsev-Petviashvili equation revisited and integrability in \(4 + 2\) and \(3 + 1\). Zbl 1172.35478Fokas, A. S. 6 2009 Lax pairs: a novel type of separability. Zbl 1198.35220Fokas, A. S. 5 2009 Novel analytical and numerical methods for elliptic boundary value problems. Zbl 1180.37104Fokas, Athanasios S.; Spence, Euan A. 3 2009 Electro-magneto-encephalography and fundamental solutions. Zbl 1189.35325Dassios, G.; Fokas, A. S. 3 2009 A novel method of solution for the fluid-loaded plate. Zbl 1195.35285Ashton, A. C. L.; Fokas, A. S. 1 2009 A unified approach to boundary value problems. Zbl 1181.35002Fokas, Athanassios S. 159 2008 A unified approach to various techniques for the non-uniqueness of the inverse gravimetric problem and wavelet-based methods. Zbl 1168.35047Michel, V.; Fokas, A. S. 22 2008 A hybrid analytical-numerical method for solving evolution partial differential equations. I. The half-line. Zbl 1156.65089Flyer, N.; Fokas, A. S. 21 2008 The generalized Dirichlet-Neumann map for linear elliptic PDEs and its numerical implementation. Zbl 1152.65113Sifalakis, A. G.; Fokas, A. S.; Fulton, S. R.; Saridakis, Y. G. 20 2008 Initial-boundary-value problems for linear and integrable nonlinear dispersive partial differential equations. Zbl 1230.30026Bona, J. L.; Fokas, A. S. 17 2008 The generalized Dirichlet to Neumann map for the KdV equation on the half-line. Zbl 1187.35225Treharne, P. A.; Fokas, A. S. 13 2008 Generalized Fourier transforms, inverse problems, and integrability in \(4+2\). Zbl 1165.35478Fokas, A. S. 7 2008 Soliton multidimensional equations and integrable evolutions preserving Laplace’s equation. Zbl 1217.35160Fokas, A. S. 6 2008 The \(d\)-bar method, inversion of certain integrals and integrability in \(4+2\) and \(3+1\) dimensions. Zbl 1158.35094Fokas, A. S. 6 2008 Methods for solving elliptic PDEs in spherical coordinates. Zbl 1154.35023Dassios, G.; Fokas, A. S. 5 2008 Nonlinear Fourier transforms and integrability in multidimensions. Zbl 1153.37036Fokas, A. S. 3 2008 On the asymptotic linearization of acoustic waves. Zbl 1171.35017Fokas, Athanassios S.; Luo, Laihan 2 2008 Conformal mappings to a doubly connected polycircular arc domain. Zbl 1153.30004Crowdy, D. G.; Fokas, A. S. 10 2007 Generalized Dirichlet to Neumann map for moving initial-boundary value problems. Zbl 1121.35116Fokas, A. S.; Pelloni, B. 9 2007 The Dirichlet-to-Neumann map for the heat equation on a moving boundary. Zbl 1127.35086De Lillo, S.; Fokas, A. S. 8 2007 Nonlinear Fourier transforms, integrability and nonlocality in multidimensions. Zbl 1155.35434Fokas, A. S. 6 2007 ...and 158 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,172 Authors 123 Fokas, Athanassios S. 79 Yin, Zhaoyang 54 Liu, Yue 53 Ma, Wen-Xiu 49 Qiao, Zhijun 49 Qu, Changzheng 43 Fan, Engui 41 He, Jingsong 41 Lenells, Jonatan 40 Its, Alexander Rudolfovich 37 Guo, Boling 31 Ablowitz, Mark Jay 31 Himonas, A. Alexandrou 28 Geng, Xianguo 28 Kuijlaars, Arno B. J. 27 Tian, Shoufu 27 Zhou, Shouming 24 Clarkson, Peter A. 24 Kaikina, Elena Igorevna 24 Mu, Chunlai 22 Xu, Shuaixia 21 Klein, Christian 21 Mi, Yongsheng 21 Wazwaz, Abdul-Majid Abdul-Rahman 20 Cheng, Yi 20 Deconinck, Bernard 19 Fuchssteiner, Benno 19 Pelloni, Beatrice 19 Rao, Jiguang 19 Rogers, Colin 19 Santini, Paolo Maria 19 Zhao, Yuqiu 18 Bertola, Marco 18 Crowdy, Darren Gregory 18 Deift, Percy A. 18 Fu, Ying 18 Li, Jibin 18 Mantzavinos, Dionyssios 18 Tian, Lixin 18 Xia, Tie-Cheng 18 Xu, Jian 18 Zhang, Dajun 17 Constantin, Adrian 17 Dassios, George 17 Pempinelli, Flora 17 Shepelsky, Dmitry 16 Claeys, Tom 16 Grammaticos, Basil 16 Grava, Tamara 16 Gürses, Metin 16 Li, Jinlu 16 Mihalache, Dumitru 16 Ramani, Alfred 16 Wong, Roderick Sue-Chuen 15 Boiti, Marco 15 Hu, Beibei 15 Lakshmanan, Muthusamy 15 Li, Yongsheng 15 Prykarpatsky, Anatoliy Karolevych 15 Zhang, Yufeng 14 Boutet de Monvel, Anne Marie 14 Carillo, Sandra 14 Chen, Yong 14 Dai, Dan 14 Deaño, Alfredo 14 Guha, Partha 14 Liu, Xingxing 14 Sahadevan, Ramajayam 14 Wang, Xiubin 14 Yan, Wei 14 Zhu, Min 13 Hayashi, Nakao 13 Hwang, Guenbo 13 Moon, Byungsoo 13 Trogdon, Thomas 13 Wang, Jingping 13 Yang, Shaojie 12 Biondini, Gino 12 Gui, Guilong 12 Guo, Fei 12 Ivanov, Rossen I. 12 Joshi, Nalini 12 Liu, Nan 12 Lou, Senyue 12 Miller, Peter D. 12 Rui, Weiguo 12 Yan, Zhenya 12 Yattselev, Maxim L. 12 Zhang, Lun 11 Chen, Robin Ming 11 Konopelchenko, Boris Georgievich 11 Michel, Volker 11 Saut, Jean-Claude 11 Shen, Chunyu 11 Xia, Baoqiang 11 Yu, Yanghai 11 Zhang, Ling 11 Zhu, Weipeng 10 Anco, Stephen C. 10 Biswas, Anjan ...and 3,072 more Authors all top 5 Cited in 370 Serials 379 Journal of Mathematical Physics 134 Journal of Differential Equations 132 Journal of Mathematical Analysis and Applications 115 Journal of Nonlinear Mathematical Physics 112 Physica D 99 Communications in Mathematical Physics 87 Studies in Applied Mathematics 85 Theoretical and Mathematical Physics 67 Applied Mathematics Letters 64 Nonlinear Analysis. 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Second Series ...and 270 more Serials all top 5 Cited in 59 Fields 2,561 Partial differential equations (35-XX) 1,210 Dynamical systems and ergodic theory (37-XX) 445 Fluid mechanics (76-XX) 358 Ordinary differential equations (34-XX) 279 Numerical analysis (65-XX) 217 Special functions (33-XX) 201 Quantum theory (81-XX) 170 Functions of a complex variable (30-XX) 134 Probability theory and stochastic processes (60-XX) 116 Harmonic analysis on Euclidean spaces (42-XX) 111 Global analysis, analysis on manifolds (58-XX) 110 Approximations and expansions (41-XX) 107 Optics, electromagnetic theory (78-XX) 97 Linear and multilinear algebra; matrix theory (15-XX) 97 Statistical mechanics, structure of matter (82-XX) 94 Difference and functional equations (39-XX) 84 Differential geometry (53-XX) 79 Mechanics of particles and systems (70-XX) 79 Mechanics of deformable solids (74-XX) 71 Operator theory (47-XX) 65 Integral equations (45-XX) 53 Geophysics (86-XX) 51 Nonassociative rings and algebras (17-XX) 44 Biology and other natural sciences (92-XX) 41 Computer science (68-XX) 37 Integral transforms, operational calculus (44-XX) 35 Algebraic geometry (14-XX) 35 Potential theory (31-XX) 30 Relativity and gravitational theory (83-XX) 26 Functional analysis (46-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 21 Real functions (26-XX) 18 Systems theory; control (93-XX) 17 Combinatorics (05-XX) 17 Topological groups, Lie groups (22-XX) 14 Classical thermodynamics, heat transfer (80-XX) 13 Number theory (11-XX) 10 History and biography (01-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Statistics (62-XX) 7 Geometry (51-XX) 6 Field theory and polynomials (12-XX) 6 Associative rings and algebras (16-XX) 5 General and overarching topics; collections (00-XX) 5 Information and communication theory, circuits (94-XX) 4 Mathematical logic and foundations (03-XX) 4 Commutative algebra (13-XX) 4 Convex and discrete geometry (52-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Sequences, series, summability (40-XX) 3 Manifolds and cell complexes (57-XX) 2 Category theory; homological algebra (18-XX) 2 Measure and integration (28-XX) 2 General topology (54-XX) 2 Astronomy and astrophysics (85-XX) 2 Operations research, mathematical programming (90-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Group theory and generalizations (20-XX) 1 Abstract harmonic analysis (43-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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