Items where Author is "El, Gennady"

Bonnemain, Thibault, Doyon, Benjamin and El, Gennady (2022) Generalized hydrodynamics of the KdV soliton gas. Journal of Physics A: Mathematical and Theoretical, 55 (37). p. 374004. ISSN 1751-8113

Tikan, Alexey, Bonnefoy, Felicien, Roberti, Giacomo, El, Gennady, Tovbis, Alexander, Ducrozet, Guillaume, Cazaubiel, Annette, Prabhudesai, Gaurav, Michel, Guillaume, Copie, Francois, Falcon, Eric, Randoux, Stephane and Suret, Pierre (2022) Prediction and manipulation of hydrodynamic rogue waves via nonlinear spectral engineering. Physical Review Fluids, 7 (5). 054401. ISSN 2469-990X

van der Sande, Kiera, El, Gennady and Hoefer, Mark A. (2021) Dynamic soliton-mean flow interaction with nonconvex flux. Journal of Fluid Mechanics, 928. A21. ISSN 0022-1120

El, Gennady (2021) Soliton gas in integrable dispersive hydrodynamics. Journal of Statistical Mechanics: Theory and Experiment, 2021 (11). p. 114001. ISSN 1742-5468

Congy, Thibault, El, Gennady, Hoefer, Mark and Shearer, Michael (2021) Dispersive Riemann problems for the Benjamin-Bona-Mahony equation. Studies in Applied Mathematics, 147 (3). pp. 1089-1145. ISSN 0022-2526

Tikan, Alexey, Randoux, Stéphane, El, Gennady, Tovbis, Alexander, Copie, Francois and Suret, Pierre (2021) Local Emergence of Peregrine Solitons: Experiments and Theory. Frontiers in Physics, 8. p. 599435. ISSN 2296-424X

Suret, Pierre, Tikan, Alexey, Bonnefoy, Félicien, Copie, François, Ducrozet, Guillaume, Gelash, Andrey, Prabhudesai, Gaurav, Michel, Guillaume, Cazaubiel, Annette, Falcon, Eric, El, Gennady and Randoux, Stéphane (2020) Nonlinear Spectral Synthesis of Soliton Gas in Deep-Water Surface Gravity Waves. Physical Review Letters, 125 (26). p. 264101. ISSN 0031-9007

El, Gennady and Tovbis, Alexander (2020) Spectral theory of soliton and breather gases for the focusing nonlinear Schrödinger equation. Physical Review E, 101 (5). 052207. ISSN 2470-0045

Bonnefoy, Félicien, Tikan, Alexey, Copie, François, Suret, Pierre, Ducrozet, Guillaume, Pradehusai, Gaurav, Michel, Guillaume, Cazaubiel, Annette, Falcon, Eric, El, Gennady and Randoux, Stéphane (2020) From modulational instability to focusing dam breaks in water waves. Physical Review Fluids, 5 (3). 034802. ISSN 2469-990X

Maiden, Michelle D., Franco, Nevil A., Webb, Emily, El, Gennady and Hoefer, Mark (2020) Solitary wave fission of a large disturbance in a viscous fluid conduit. Journal of Fluid Mechanics, 883. A10. ISSN 0022-1120

Gelash, Andrey, Agafontsev, Dmitry, Zakharov, Vladimir, El, Gennady, Randoux, Stéphane and Suret, Pierre (2019) Bound state soliton gas dynamics underlying the spontaneous modulational instability. Physical Review Letters, 123 (23). p. 234102. ISSN 0031-9007

Congy, Thibault, El, Gennady and Hoefer, Mark (2019) Interaction of linear modulated waves and unsteady dispersive hydrodynamic states with application to shallow water waves. Journal of Fluid Mechanics, 875. pp. 1145-1174. ISSN 0022-1120

Roberti, Giacomo, El, Gennady, Randoux, Stéphane and Suret, Pierre (2019) Early stage of integrable turbulence in the one-dimensional nonlinear Schrödinger equation: a semiclassical approach to statistics. Physical Review E. ISSN 2470-0045

Kraych, Adrien E., Suret, Pierre, El, Gennady and Randoux, Stephane (2019) Modulational Instability of a Plane Wave in the Presence of Localized Perturbations: Experiments in Nonlinear Fiber Optics. In: 2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019, 23-27 June 2019, Munich, Germany.

Congy, Thibault, El, Gennady, Hoefer, Mark and Shearer, Michael (2019) Nonlinear Schrödinger equations and the universal description of dispersive shock wave structure. Studies in Applied Mathematics, 142 (3). pp. 241-268. ISSN 0022-2526

Kraych, Adrien, Suret, Pierre, El, Gennady and Randoux, Stephane (2019) Nonlinear evolution of the locally induced modulational instability in fiber optics. Physical Review Letters, 122 (5). 054101. ISSN 0031-9007

Randoux, Stéphane, Suret, Pierre, Chabchoub, Amin, Kibler, Bertrand and El, Gennady (2018) Nonlinear spectral analysis of Peregrine solitons observed in optics and in hydrodynamic experiments. Physical Review E, 98 (2). 022219. ISSN 2470-0045

Maiden, Michelle D., Anderson, Dalton V., Franco, Nevil A., El, Gennady and Hoefer, Mark A. (2018) Solitonic Dispersive Hydrodynamics: Theory and Observation. Physical Review Letters, 120 (14). ISSN 0031-9007

El, Gennady, Nguyen, Lu Trong Nguyen and Smyth, Noel (2018) Dispersive shock waves in systems with nonlocal dispersion of Benjamin–Ono type. Nonlinearity, 31 (4). pp. 1392-1416. ISSN 0951-7715

Sprenger, Patrick, Hoefer, Mark and El, Gennady (2018) Hydrodynamic optical soliton tunneling. Physical Review E, 97 (3). ISSN 2470-0045

El, Gennady, Hoefer, Mark A. and Shearer, Michael (2018) Stationary Expansion Shocks for a Regularized Boussinesq System. Studies in Applied Mathematics, 140 (1). pp. 27-47. ISSN 0022-2526

Suret, Pierre, El, Gennady, Onorato, Miguel and Randoux, Stéphane (2017) Rogue waves in integrable turbulence: semi-classical theory and fast measurements. In: Nonlinear Guided Wave Optics: A testbed for extreme waves. IOP Publishing, 12-1-12-32. ISBN 978-0-7503-1460-2

Hoefer, Mark, El, Gennady and Kamchatnov, Anatoly (2017) Oblique Spatial Dispersive Shock Waves in Nonlinear Schrödinger Flows. SIAM Journal on Applied Mathematics, 77 (4). pp. 1352-1374. ISSN 0036-1399

Tikan, Alexey, Billet, Cyril, El, Gennady, Tovbis, Alexander, Bertola, Marco, Sylvestre, Thibaut, Gustave, Francois, Randoux, Stephane, Genty, Goëry, Suret, Pierre and Dudley, John M. (2017) Universality of the Peregrine Soliton in the Focusing Dynamics of the Cubic Nonlinear Schrödinger Equation. Physical Review Letters, 119 (3). 033901. ISSN 0031-9007

Billet, C., Tikan, A., El, Gennady, Tovbis, A., Bertola, M., Sylvestre, T., Gustave, F., Randoux, S., Genty, G., Suret, P. and Dudley, J. M. (2017) Universal peregrine soliton structure in optical fibre soliton compression. In: 2017 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference, 25-29 Sept 2017, Munich, Germany.

Randoux, Stéphane, Gustave, François, Suret, Pierre and El, Gennady (2017) Optical Random Riemann Waves in Integrable Turbulence. Physical Review Letters, 118 (23). ISSN 0031-9007

El, Gennady, Hoefer, Mark and Shearer, Michael (2017) Dispersive and Diffusive-Dispersive Shock Waves for Nonconvex Conservation Laws. SIAM Review, 59 (1). pp. 3-61. ISSN 0036-1445

Chesnokov, A. A., El, Gennady, Gavrilyuk, S. L. and Pavlov, M. V. (2017) Stability Of Shear Shallow Water Flows with Free Surface. SIAM Journal on Applied Mathematics, 77 (3). pp. 1068-1087. ISSN 0036-1399

Biondini, G., El, Gennady, Hoefer, M.A. and Miller, P.D. (2016) Dispersive hydrodynamics: Preface. Physica D: Nonlinear Phenomena, 333. pp. 1-5. ISSN 0167-2789

El, Gennady and Hoefer, Mark (2016) Dispersive shock waves and modulation theory. Physica D: Nonlinear Phenomena, 333. pp. 11-65. ISSN 0167-2789

Tovbis, Alexander and El, Gennady (2016) Semiclassical limit of the focusing NLS: Whitham equations and the Riemann–Hilbert Problem approach. Physica D: Nonlinear Phenomena, 333. pp. 171-184. ISSN 0167-2789

Bertola, Marco, El, Gennady and Tovbis, Alexander (2016) Rogue waves in multiphase solutions of the focusing nonlinear Schrödinger equation. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472 (2194). p. 20160340. ISSN 1364-5021

Onorato, Miguel, Proment, Davide, El, Gennady, Randoux, Stephane and Suret, Pierre (2016) On the origin of heavy-tail statistics in equations of the Nonlinear Schrödinger type. Physics Letters A, 380 (39). pp. 3173-3177. ISSN 0375-9601

El, Gennady, Khamis, Eduardo and Tovbis, Alex (2016) Dam break problem for the focusing nonlinear Schrödinger equation and the generation of rogue waves. Nonlinearity, 29 (9). pp. 2798-2836. ISSN 0951-7715

Randoux, Stéphane, Suret, Pierre and El, Gennady (2016) Inverse scattering transform analysis of rogue waves using local periodization procedure. Scientific Reports, 6 (1). p. 29238. ISSN 2045-2322

El, Gennady, Hoefer, Mark and Shearer, Michael (2016) Expansion shock waves in regularized shallow-water theory. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472 (2189). p. 20160141. ISSN 1364-5021

Carbone, F., Dutykh, D. and El, Gennady (2016) Macroscopic dynamics of incoherent soliton ensembles: Soliton gas kinetics and direct numerical modelling. Europhysics Letters, 113 (3). ISSN 0295-5075

Lowman, Nicholas K., Hoefer, Mark. A. and El, Gennady (2014) Interactions of large amplitude solitary waves in viscous fluid conduits. Journal of Fluid Mechanics, 750. pp. 372-384. ISSN 0022-1120

Kamchatnov, A. M., Kuo, Y.-H., Lin, T.-C., Horng, T.-L., Gou, S.-C., Clift, R., El, Gennady and Grimshaw, R. H. J. (2013) Transcritical flow of a stratified fluid over topography: analysis of the forced Gardner equation. Journal of Fluid Mechanics, 736. pp. 495-531. ISSN 0022-1120

Pelinovsky, E.N., Shurgalina, E.G., Sergeeva, A.V., Talipova, T.G., El, Gennady and Grimshaw, R.H.J. (2013) Two-soliton interaction as an elementary act of soliton turbulence in integrable systems. Physics Letters A, 377 (3-4). pp. 272-275. ISSN 0375-9601

El, Gennady, Grimshaw, R. H. J. and Tiong, W. K. (2012) Transformation of a shoaling undular bore. Journal of Fluid Mechanics, 709. pp. 371-395. ISSN 0022-1120

Kamchatnov, A. M., Kuo, Y.-H., Lin, T.-C., Horng, T.-L., Gou, S.-C., Clift, R., El, Gennady and Grimshaw, R. H. J. (2012) Undular bore theory for the Gardner equation. Physical Review E, 86 (3). ISSN 1539-3755

El, Gennady, Khodorovskii, V.V. and Leszczyszyn, A.M. (2012) Refraction of dispersive shock waves. Physica D: Nonlinear Phenomena, 241 (18). pp. 1567-1587. ISSN 0167-2789

Pavlov, M. V., Taranov, V. B. and El, Gennady (2012) Generalized hydrodynamic reductions of the kinetic equation for a soliton gas. Theoretical and Mathematical Physics, 171 (2). pp. 675-682. ISSN 0040-5779

Molokov, Sergei, El, Gennady and Lukyanov, Alexander (2011) Classification of instability modes in a model of aluminium reduction cells with a uniform magnetic field. Theoretical and Computational Fluid Dynamics, 25 (5). pp. 261-279. ISSN 0935-4964

El, Gennady, Kamchatnov, A. M., Pavlov, M. V. and Zykov, S. A. (2011) Kinetic Equation for a Soliton Gas and Its Hydrodynamic Reductions. Journal of Nonlinear Science, 21 (2). pp. 151-191. ISSN 0938-8974

El, Gennady, GRIMSHAW, R. H. J. and SMYTH, N. F. (2009) Transcritical shallow-water flow past topography: finite-amplitude theory. Journal of Fluid Mechanics, 640. pp. 187-214. ISSN 0022-1120

El, Gennady, Kamchatnov, A. M., Khodorovskii, V. V., Annibale, E. S. and Gammal, A. (2009) Two-dimensional supersonic nonlinear Schrödinger flow past an extended obstacle. Physical Review E, 80 (4). 046317. ISSN 1539-3755

Leszczyszyn, A. M., El, Gennady, Gladush, Yu. G. and Kamchatnov, A. M. (2009) Transcritical flow of a Bose-Einstein condensate through a penetrable barrier. Physical Review A, 79 (6). 063608. ISSN 1050-2947

Horng, T.-L., Gou, S.-C., Lin, T.-C., El, Gennady, Itin, A. P. and Kamchatnov, A. M. (2009) Stationary wave patterns generated by an impurity moving with supersonic velocity through a Bose-Einstein condensate. Physical Review A, 79 (5). 053619. ISSN 1050-2947

El, Gennady, Grimshaw, R.H.J. and Smyth, N.F. (2008) Asymptotic description of solitary wave trains in fully nonlinear shallow-water theory. Physica D: Nonlinear Phenomena, 237 (19). pp. 2423-2435. ISSN 0167-2789

Khamis, E. G., Gammal, A., El, Gennady, Gladush, Yu. G. and Kamchatnov, A. M. (2008) Nonlinear diffraction of light beams propagating in photorefractive media with embedded reflecting wire. Physical Review A, 78 (1). 013829. ISSN 1050-2947

El, Gennady, Gammal, A., Khamis, E. G., Kraenkel, R. A. and Kamchatnov, A. M. (2007) Theory of optical dispersive shock waves in photorefractive media. Physical Review A, 76 (5). 053813. ISSN 1050-2947

El, Gennady, GRIMSHAW, R. H. J. and KAMCHATNOV, A. M. (2007) Evolution of solitary waves and undular bores in shallow-water flows over a gradual slope with bottom friction. Journal of Fluid Mechanics, 585. pp. 213-244. ISSN 0022-1120

El, Gennady, Gammal, A. and Kamchatnov, A.M. (2007) Generation of oblique dark solitons in supersonic flow of Bose-Einstein condensate past an obstacle. Nuclear Physics A, 790 (1-4). 771c-775c. ISSN 0375-9474

Gladush, Yu. G., El, Gennady, Gammal, A. and Kamchatnov, A. M. (2007) Radiation of linear waves in the stationary flow of a Bose-Einstein condensate past an obstacle. Physical Review A, 75 (3). 033619. ISSN 1050-2947

El, Gennady, Gladush, Yu G and Kamchatnov, A M (2007) Two-dimensional periodic waves in supersonic flow of a Bose–Einstein condensate. Journal of Physics A: Mathematical and Theoretical, 40 (4). pp. 611-619. ISSN 1751-8113

El, Gennady (2006) Erratum: “Resolution of a shock in hyperbolic systems modified by weak dispersion” [Chaos 15, 037103 (2005)]. Chaos: An Interdisciplinary Journal of Nonlinear Science, 16 (2). 029901. ISSN 1054-1500

El, Gennady, Grimshaw, R. H. J. and Smyth, N. F. (2006) Unsteady undular bores in fully nonlinear shallow-water theory. Physics of Fluids, 18 (2). 027104. ISSN 1070-6631

El, Gennady and Kamchatnov, A.M. (2006) Spatial dispersive shock waves generated in supersonic flow of Bose–Einstein condensate past slender body. Physics Letters A, 350 (3-4). pp. 192-196. ISSN 0375-9601

El, Gennady and Kamchatnov, A. M. (2005) Kinetic Equation for a Dense Soliton Gas. Physical Review Letters, 95 (20). p. 204101. ISSN 0031-9007

El, Gennady, Grimshaw, R. H. J. and Kamchatnov, A. M. (2005) Analytic model for a weakly dissipative shallow-water undular bore. Chaos: An Interdisciplinary Journal of Nonlinear Science, 15 (3). 037102. ISSN 1054-1500

El, Gennady (2005) Resolution of a shock in hyperbolic systems modified by weak dispersion. Chaos: An Interdisciplinary Journal of Nonlinear Science, 15 (3). 037103. ISSN 1054-1500

El, Gennady, Grimshaw, R. H. J. and Kamchatnov, A. M. (2005) Wave Breaking and the Generation of Undular Bores in an Integrable Shallow Water System. Studies in Applied Mathematics, 114 (4). pp. 395-411. ISSN 0022-2526

El, Gennady (2003) The thermodynamic limit of the Whitham equations. Physics Letters A, 311 (4-5). pp. 374-383. ISSN 0375-9601

El, Gennady and Grimshaw, R. H. J. (2002) Generation of undular bores in the shelves of slowly-varying solitary waves. Chaos: An Interdisciplinary Journal of Nonlinear Science, 12 (4). pp. 1015-1026. ISSN 1054-1500

El, Gennady and Grimshaw, R.H.J. (2001) An Integrable Model For Undular Bores On Shallow Water. In: IUTAM Symposium on Free Surface Flows. Springer, Dordecht, pp. 99-106. ISBN 9780792370857

El, Gennady, Krylov, Alexander L. and Venakides, Stephanos (2001) Unified approach to KdV modulations. Communications on Pure and Applied Mathematics, 54 (10). pp. 1243-1270. ISSN 0010-3640

El, Gennady, Grimshaw, R. H. J. and Pavlov, M. V. (2001) Integrable Shallow-Water Equations and Undular Bores. Studies in Applied Mathematics, 106 (2). pp. 157-186. ISSN 0022-2526