H. W. Alt and L. A. Caffarelli, Existence and regularity for a minimum problem with free boundary, J. Reine Angew. Math, vol.325, pp.105-144, 1981.

C. J. Amick and J. F. Toland, On Periodic Water-Waves and their Convergence to Solitary Waves in the Long-Wave Limit, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.303, issue.1481, pp.303633-669, 1481.
DOI : 10.1098/rsta.1981.0231

V. I. Arnold, Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applicationsàapplicationsà l'hydrodynamique des fluides parfaits
DOI : 10.5802/aif.233

URL : http://archive.numdam.org/article/AIF_1966__16_1_319_0.pdf

V. I. Arnold, Hamiltonian nature of the Euler equations in the dynamics of a rigid body and of an ideal fluid, Uspehi Mat. Nauk, vol.24, issue.3147, pp.225-226, 1969.
DOI : 10.1007/978-3-642-31031-7_16

V. I. Arnold and B. A. Khesin, Topological methods in hydrodynamics, Applied Mathematical Sciences, vol.125, 1998.

A. Constantin and J. Escher, Symmetry of steady deep-water waves with vorticity, European Journal of Applied Mathematics, vol.15, issue.6, pp.755-768, 2004.
DOI : 10.1017/S0956792504005777

A. Constantin, D. H. Sattinger, and W. Strauss, Variational formulations for steady water waves with vorticity, Journal of Fluid Mechanics, vol.548, issue.-1, pp.151-163, 2006.
DOI : 10.1017/S0022112005007469

A. Constantin and W. Strauss, Exact steady periodic water waves with vorticity, Communications on Pure and Applied Mathematics, vol.50, issue.4, pp.481-527, 2004.
DOI : 10.1002/cpa.3046

K. O. Friedrichs, ???ber ein Minimumproblem f???r Potentialstr???mungen mit freiem Rande, Mathematische Annalen, vol.185, issue.1, pp.60-82, 1933.
DOI : 10.1007/BF01449125

K. O. Friedrichs and D. H. Hyers, The existence of solitary waves, Communications on Pure and Applied Mathematics, vol.29, issue.3, pp.517-550, 1954.
DOI : 10.1002/cpa.3160070305

V. Hur, Exact Solitary Water Waves with Vorticity, Archive for Rational Mechanics and Analysis, vol.28, issue.20
DOI : 10.1007/s00205-007-0064-6

R. S. Johnson, A modern introduction to the mathematical theory of water waves. Cambridge Texts in Applied Mathematics, 1997.

K. Kirchgässner, Nonlinearly Resonant Surface Waves and Homoclinic Bifurcation, Advances in applied mechanics, pp.135-181, 1988.
DOI : 10.1016/S0065-2156(08)70288-6

T. Levi-civita, D???termination rigoureuse des ondes permanentes d'ampleur finie, Mathematische Annalen, vol.95, issue.1, pp.264-314, 1925.
DOI : 10.1007/BF01449965

D. Lewis, J. Marsden, R. Montgomery, and T. Ratiu, The Hamiltonian structure for dynamic free boundary problems, Solitons and coherent structures, pp.391-404, 1985.
DOI : 10.1016/0167-2789(86)90207-1

D. H. Sattinger, Tsunamis and Barge Canals, Journal of Mathematical Fluid Mechanics, vol.9, issue.2, 2006.
DOI : 10.1007/s00021-005-0196-0

D. J. Struik, D??termination rigoureuse des ondes irrotationelles p??riodiques dans un canal ?? profondeur finie, Mathematische Annalen, vol.95, issue.1, pp.595-634, 1926.
DOI : 10.1007/BF01206629

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