| Universality for the focusing nonlinear Schrödinger equation at the gradient catastrophe point: rational breathers and poles of the tritronquée solution to Painlevé I M Bertola, A Tovbis Communications on Pure and Applied Mathematics 66 (5), 678-752, 2013 | 177 | 2013 |
| On semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation A Tovbis, S Venakides, X Zhou Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2004 | 143 | 2004 |
| Universality of the Peregrine soliton in the focusing dynamics of the cubic nonlinear Schrödinger equation A Tikan, C Billet, G El, A Tovbis, M Bertola, T Sylvestre, F Gustave, ... Physical review letters 119 (3), 033901, 2017 | 131 | 2017 |
| Dam break problem for the focusing nonlinear Schrödinger equation and the generation of rogue waves GA El, EG Khamis, A Tovbis Nonlinearity 29 (9), 2798, 2016 | 84 | 2016 |
| Spectral theory of soliton and breather gases for the focusing nonlinear Schrödinger equation G El, A Tovbis Physical Review E 101 (5), 052207, 2020 | 62 | 2020 |
| The eigenvalue problem for the focusing nonlinear Schrödinger equation: new solvable cases A Tovbis, S Venakides Physica D: Nonlinear Phenomena 146 (1-4), 150-164, 2000 | 61 | 2000 |
| Rogue waves: analytical predictions RHJ Grimshaw, A Tovbis Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2013 | 49 | 2013 |
| Rogue waves in multiphase solutions of the focusing nonlinear Schrödinger equation M Bertola, GA El, A Tovbis Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2016 | 47 | 2016 |
| Exponential asymptotic expansions and approximations of the unstable and stable manifolds of singularly perturbed systems with the Hénon map as an example A Tovbis, M Tsuchiya, C Jaffé Chaos: An Interdisciplinary Journal of Nonlinear Science 8 (3), 665-681, 1998 | 36 | 1998 |
| Continuum limit of lattice approximation schemes CM Bender, A Tovbis Journal of Mathematical Physics 38 (7), 3700-3717, 1997 | 34 | 1997 |
| On the long‐time limit of semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation: Pure radiation case A Tovbis, S Venakides, X Zhou Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2006 | 33 | 2006 |
| Maximal amplitudes of finite-gap solutions for the focusing nonlinear Schrödinger equation M Bertola, A Tovbis Communications in Mathematical Physics 354, 525-547, 2017 | 31 | 2017 |
| Universality in the profile of the semiclassical limit solutions to the focusing nonlinear Schrödinger equation at the first breaking curve M Bertola, A Tovbis International Mathematics Research Notices 2010 (11), 2119-2167, 2010 | 30 | 2010 |
| Finite Hilbert transform with incomplete data: null-space and singular values A Katsevich, A Tovbis Inverse Problems 28 (10), 105006, 2012 | 28 | 2012 |
| Asymptotics of orthogonal polynomials with complex varying quartic weight: global structure, critical point behavior and the first Painlevé equation M Bertola, A Tovbis Constructive Approximation 41, 529-587, 2015 | 21 | 2015 |
| Semiclassical limit of the focusing NLS: Whitham equations and the Riemann–Hilbert problem approach A Tovbis, GA El Physica D: Nonlinear Phenomena 333, 171-184, 2016 | 20 | 2016 |
| The supercritical regime in the normal matrix model with cubic potential ABJ Kuijlaars, A Tovbis Advances in Mathematics 283, 530-587, 2015 | 19 | 2015 |
| Prediction and manipulation of hydrodynamic rogue waves via nonlinear spectral engineering A Tikan, F Bonnefoy, G Roberti, G El, A Tovbis, G Ducrozet, A Cazaubiel, ... Physical Review Fluids 7 (5), 054401, 2022 | 18 | 2022 |
| Semiclassical focusing nonlinear Schrödinger equation I: inverse scattering map and its evolution for radiative initial data A Tovbis, S Venakides, X Zhou International Mathematics Research Notices 2007, rnm094, 2007 | 18 | 2007 |
| Asymptotics beyond all orders and analytic properties of inverse Laplace transforms of solutions A Tovbis Communications in mathematical physics 163 (2), 245-255, 1994 | 18 | 1994 |
