T. B. Benjamin and J. E. Feir, The disintegration of wave trains on deep water Part 1. Theory, Journal of Fluid Mechanics, vol.130, issue.03, pp.417-430, 1967.
DOI : 10.1007/BF01449965

L. F. Bliven, N. E. Huang, and S. R. Long, Experimental study of the influence of wind on Benjamin???Feir sideband instability, Journal of Fluid Mechanics, vol.101, issue.-1, pp.237-260, 1986.
DOI : 10.1017/S0022112077001049

S. D. Conte and J. W. Miles, On the Numerical Integration of the Orr-Sommerfeld Equation, Journal of the Society for Industrial and Applied Mathematics, vol.7, issue.4, pp.361-366, 1959.
DOI : 10.1137/0107030

D. R. Crawford, P. G. Saffman, and H. C. Yuen, Evolution of a random inhomogeneous field of nonlinear deep-water gravity waves, Wave Motion, vol.2, issue.1, pp.1-16, 1980.
DOI : 10.1016/0165-2125(80)90029-3

P. A. Janssen, The Interaction of Ocean Waves and Wind, 2004.
DOI : 10.1017/CBO9780511525018

M. J. Lighthill, Contributions to the Theory of Waves in Non-linear Dispersive Systems, IMA Journal of Applied Mathematics, vol.1, issue.3, pp.269-306, 1965.
DOI : 10.1093/imamat/1.3.269

J. W. Miles, On the generation of surface waves by shear flows, Journal of Fluid Mechanics, vol.215, issue.02, pp.185-204, 1957.
DOI : 10.1103/PhysRev.91.784

J. W. Miles, Surface-wave generation: a viscoelastic model, Journal of Fluid Mechanics, vol.87, issue.-1, pp.131-145, 1996.
DOI : 10.1017/S0022112072002101

H. Segur, D. Henderson, J. Carter, J. Hammack, C. M. Li et al., Stabilizing the Benjamin???Feir instability, Journal of Fluid Mechanics, vol.539, issue.-1, pp.229-271, 2005.
DOI : 10.1017/S002211200500563X

C. Skandrani, C. Kharif, and J. Poitevin, Nonlinear evolution of water surface waves: the frequency down-shift phenomenon, Contemp. Maths, vol.200, pp.157-171, 1996.
DOI : 10.1090/conm/200/02514

T. Waseda and M. P. Tulin, Experimental study of the stability of deep-water wave trains including wind effects, Journal of Fluid Mechanics, vol.401, pp.55-84, 1999.
DOI : 10.1017/S0022112099006527

G. Wu, Y. Liu, and D. K. Yue, A note on stabilizing the Benjamin???Feir instability, Journal of Fluid Mechanics, vol.556, pp.45-54, 2006.
DOI : 10.1017/S0022112005008293

V. E. Zakharov, Stability of periodic waves of finite amplitude on the surface of a deep fluid, Journal of Applied Mechanics and Technical Physics, vol.10, issue.no. 4, pp.190-194, 1968.
DOI : 10.1007/BF00913182

A. Dalrymple, A finite amplitude wave on a linear shear current, Journal of Geophysical Research, vol.3, issue.815, pp.4498-4504, 1974.
DOI : 10.1029/JC079i030p04498

I. Brevik, Higher-order waves propagating on constant vorticity currents in deep water, Coastal Engineering, vol.2, pp.237-259, 1979.
DOI : 10.1016/0378-3839(78)90022-4

J. A. Simmen and &. P. , Saffman Steady deep-water waves on a linear shear current

F. Teles-da-silva and &. D. , Steep, steady surface waves on water of finite depth with constant vorticity, Journal of Fluid Mechanics, vol.276, issue.-1, pp.281-302, 1988.
DOI : 10.1017/S0022112083002050

&. R. Kishida, Sobey Stokes theory for waves on linear shear current, J. Engng

S. Pak and &. W. , Chow Free surface waves on shear currents with non-uniform vorticity : third order solutions, Fluid Dyn. Res, vol.41, pp.1-13, 2009.

M. Oikawa, K. Chow, and &. J. , The Propagation of Nonlinear Wave Packets in a Shear Flow with a Free Surface, Studies in Applied Mathematics, vol.74, issue.48, pp.69-92, 1987.
DOI : 10.1002/sapm198776169

J. C. Li, W. H. Hui, and M. A. Donelan, Effects of velocity shear on the stability of surface deep water wave trains Nonlinear Water Waves K. Horikawa and H. Maruo, pp.213-220, 1987.

A. I. Baumstein, Modulation of gravity waves with shear in water Stud, Appl. Math, vol.100, pp.365-390, 1998.

W. Choi, Nonlinear surface waves interacting with a linear shear current, Mathematics and Computers in Simulation, vol.80, issue.1, pp.101-110, 2009.
DOI : 10.1016/j.matcom.2009.06.021

M. Okamura and &. , The Linear Stability of Finite Amplitude Surface Waves on a Linear Shearing Flow, Journal of the Physical Society of Japan, vol.58, issue.7, pp.2386-2396, 1989.
DOI : 10.1143/JPSJ.58.2386

A. Davey and &. , Stewartson On three-dimensional packets of surface waves, Proc. R

C. Kharif, E. Pelinovsky, A. Slunyaev-166, C. A. Annexes-bibliographie, ]. T. Benjamin et al., Kulagin Generation of of a periodic sequence of picosecond pulses in an optical fiber Feir The disintegration of wavetrains in deep water Part 1 Roskes Wave instabilities Stud Brantenberg and I. Brevik Higher order water waves in currents of uniform vorticity, in the presence of surface tension Physica Scripta Choi Nonlinear surface waves interacting with a linear shear current Constantin Two-dimensionality of gravity water flows of constant nonzero vorticity beneath a surface wave train, Benjamin Instability of periodic wavetrains in nonlinear dispersive systems Proc. R. Soc. Lond. A, pp.1542-1551, 1959.

]. H. Hasimoto, H. Peter, A. E. Peter, and A. E. , Dysthe Note on a Modification to the Nonlinear Schrodinger Equation for Application to Deep Water Waves Proceedings of the Dysthe and K. trulsen Note on Breather Type Solutions of the NLS as Models for Freak Waves Physica Scripta Ono Nonlinear Modulation of Gravity Waves Journal of the Physical Society of Japan 33 [16] H.L.F. Helmholtz¨Uber Helmholtz¨ Helmholtz¨Uber discontinuerliche Flüssigkeits-bewegungen Monthly reports of the Royal Prussian Academy of Philosophy in Berlin 23 Janssen On a fourth-order envelope equation for deep-water waves Janssen Nonlinear Four-Wave Interactions and Freak Waves [21] P. Janssen The interaction of ocean waves and wind, Ch. 3. [22] H. Jeffreys On the formation of waves by wind Proc. Roy. Soc.23] H. Jeffreys On the formation of waves by wind II Proc. Roy. Soc.24] R. S. Johnson On the modulation of water waves on shear flows Proc. R. Soc. Lond26] C. Kharif, E. Pelinovsky and A. Slunyaev Rogue waves in the ocean Springer, pp.301-346, 1924.

]. C. Kharif and J. , Under which conditions the Benjamin-Feir instability may spawn an extreme wave event: A fully nonlinear approach, The European Physical Journal Special Topics, vol.151, issue.1, pp.159-168, 2010.
DOI : 10.1140/epjst/e2010-01246-7
URL : https://hal.archives-ouvertes.fr/hal-00743642

J. C. Li, W. H. Hui, M. A. Donelan, C. C. Lo, R. E. Mei-caflisch et al., A numerical study of water-wave modulation based on a higher-order nonlinear Schrödinger equation Journal of Fluid Mechanics [35] T. S. Lundgren A free Surface Vortex Method with weak viscous effects Mathematical Aspects of Vortex Dynamics Ma The perturbed plane-wave solutions of the cubic Schrödinger equation Stud Miles On the generation of surface waves by shear flows Miles On the stability of heterogeneous shear flows Miles On the generation of surface waves by shear flows Benney The propagation of nonlinear wave packets in a shear flow with a free surface Stud, 40] A. I. Nekrasov On steady waves Izv, pp.213-220, 1921.

M. Onorato, A. R. Osborne, M. Serio, L. Cavaleri, C. Brandini et al., Extreme waves, modulational instability and second order theory: wave flume experiments on irregular waves, European Journal of Mechanics - B/Fluids, vol.25, issue.5, pp.586-601, 2006.
DOI : 10.1016/j.euromechflu.2006.01.002

J. R. Stocker and D. H. , Socha Stabilizing the Benjamin-Feir instability Saffman Steady deep-water waves on a linear shear current Stud Peregrine The current-modified nonlinear Schrödinger equation Peregrine Steep, steady surface waves on water of finite depth with constant vorticity Pelinovsky Freak waves under the action of wind : experiments and simulations, Kharif Nonlinear evolution of the modulational instability under weak forcing and damping Nat Zakharov Stability of periodic waves of finite amplitude on the surface of a deep fluid Journal of Applied Mechanics and Technical Physics51] V. E. Zakharov and L. A. Ostrovsky Modulation instability : the beginning Physica D, pp.417-445, 1957.

. Unepremì-ere-partie-unifie-les-travaux-de-segur, qui intègrent la dissipation et ceux de Leblanc qui prennent en compte le vent

. La-dissipation-est-traduite-par-le-modèle-de-lundgren, effet du vent se manifeste par l'intermédiaire de la pression atmosphérique selon le modèle de Miles. La profondeur est finie. UnéUné etude de stabilité de l'onde de Stokes est détaillée, et des simulations numériques sont menées pour illustrer les résultats. Des expérimentations sont menées pour apporter une validation qualitativè a ces travaux, Journal of Fluid Mechanics, 2010.