, Large time existence for 3D water-waves and asymptotics, Inventiones mathematicae, vol.2, issue.4, pp.165-186, 2009.
DOI : 10.1007/s00222-007-0088-4
URL : https://hal.archives-ouvertes.fr/hal-00128402
, Multipeakons and the Classical Moment Problem, Advances in Mathematics, vol.154, issue.2, pp.229-257, 2000.
DOI : 10.1006/aima.1999.1883
URL : http://doi.org/10.1006/aima.1999.1883
, Multi-peakons and a theorem of Stieltjes, Inverse Problems, vol.15, issue.1, pp.1-4, 1999.
DOI : 10.1088/0266-5611/15/1/001
, The Stability of Solitary Waves, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.328, issue.1573, pp.153-183, 1972.
DOI : 10.1098/rspa.1972.0074
, Global Conservative Solutions of the Camassa???Holm Equation, Archive for Rational Mechanics and Analysis, vol.27, issue.5, pp.215-239, 2007.
DOI : 10.1007/s00205-006-0010-z
, GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA???HOLM EQUATION, Analysis and Applications, vol.05, issue.01, pp.1-27, 2007.
DOI : 10.1142/S0219530507000857
, An integrable shallow water equation with peaked solitons, Physical Review Letters, vol.71, issue.11, pp.1661-1664, 1993.
DOI : 10.1103/PhysRevLett.71.1661
URL : http://arxiv.org/abs/patt-sol/9305002
, A New Integrable Shallow Water Equation, Adv. Appl. Mech, p.31, 1994.
DOI : 10.1016/S0065-2156(08)70254-0
, Existence of permanent and breaking waves for a shallow water equation: a geometric approach, Annales de l???institut Fourier, vol.50, issue.2, pp.321-362, 2000.
DOI : 10.5802/aif.1757
, On the scattering problem for the Camassa-Holm equation, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.457, issue.2008, pp.953-970, 2001.
DOI : 10.1098/rspa.2000.0701
, The trajectories of particles in Stokes waves, Inventiones mathematicae, vol.331, issue.3, pp.523-535, 2006.
DOI : 10.1007/s00222-006-0002-5
, Wave breaking for nonlinear nonlocal shallow water equations, Acta Mathematica, vol.181, issue.2, pp.229-243, 1998.
DOI : 10.1007/BF02392586
, Global existence and blow-up for a shallow water equation, Annali Sc. Norm. Sup. Pisa, vol.26, pp.303-328, 1998.
, Particle trajectories in solitary water waves, Bulletin of the American Mathematical Society, vol.44, issue.03, pp.423-431, 2007.
DOI : 10.1090/S0273-0979-07-01159-7
, Inverse scattering transform for the Camassa???Holm equation, Inverse Problems, vol.22, issue.6, pp.22-2197, 2006.
DOI : 10.1088/0266-5611/22/6/017
, The Hydrodynamical Relevance of the Camassa???Holm and Degasperis???Procesi Equations, Archive for Rational Mechanics and Analysis, vol.114, issue.1, pp.165-186, 2009.
DOI : 10.1007/s00205-008-0128-2
URL : https://hal.archives-ouvertes.fr/hal-00281511
, Geodesic flow on the diffeomorphism group of the circle, Commentarii Mathematici Helvetici, vol.78, issue.4, pp.787-804, 2003.
DOI : 10.1007/s00014-003-0785-6
URL : https://hal.archives-ouvertes.fr/hal-00003261
, Global Weak Solutions for a Shallow Water Equation, Communications in Mathematical Physics, vol.211, issue.1, pp.45-61, 2000.
DOI : 10.1007/s002200050801
, Orbital stability of solitary waves for a shallow water equation, Physica D: Nonlinear Phenomena, vol.157, issue.1-2, pp.75-89, 2001.
DOI : 10.1016/S0167-2789(01)00298-6
, Stability of peakons, Communications on Pure and Applied Mathematics, vol.363, issue.5, pp.603-610, 2000.
DOI : 10.1002/(SICI)1097-0312(200005)53:5<603::AID-CPA3>3.0.CO;2-L
, Stability of the Camassa-Holm solitons, Journal of Nonlinear Science, vol.12, issue.4, pp.415-422, 2002.
DOI : 10.1007/s00332-002-0517-x
, Model equations for nonlinear dispersive waves in compressible Mooney-Rivlin rod, Acta Mech, pp.293-308, 1998.
, A few remarks on the Camassa-Holm equation, Diff. Int. Equ, vol.14, pp.953-980, 2001.
, Smoothing effect of the generalized BBM equation for localized solutions moving to the right, Discrete and Continuous Dynamical Systems, vol.12, issue.5, pp.973-982, 2005.
DOI : 10.3934/dcds.2005.12.973
, Asymptotic stability of solitary waves for the Benjamin-Bona-Mahony equation, Discrete and Continuous Dynamical Systems, vol.13, issue.3, pp.583-622, 2005.
DOI : 10.3934/dcds.2005.13.583
, Stability of $N$ solitary waves for the generalized BBM equations, Dynamics of Partial Differential Equations, vol.1, issue.4, pp.401-437, 2004.
DOI : 10.4310/DPDE.2004.v1.n4.a3
, Exponential decay of H 1 -localized solutions and stability of the train of N solitary waves for the Camassa- Holm equation, Phil. Trans. R. Soc. A, pp.365-2313, 2007.
, Stability of multipeakons, Annales I.H.P, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00260227
, Symplectic structures, their Bäcklund transformation and hereditary symmetries, Physica D, vol.4, pp.47-66, 1981.
, Stability theory of solitary waves in the presence of symmetry, I, Journal of Functional Analysis, vol.74, issue.1, pp.160-197, 1987.
DOI : 10.1016/0022-1236(87)90044-9
, Korteweg-de Vries and related models for water waves, J. Fluid Mech, vol.455, pp.63-82, 2002.
, Lie Groups and Mechanics: An Introduction, Journal of Nonlinear Mathematical Physics, vol.21, issue.4, pp.480-498, 2004.
DOI : 10.2991/jnmp.2004.11.4.5
URL : https://hal.archives-ouvertes.fr/hal-00001155
, Poisson brackets in hydrodynamics, Discrete Contin, Dyn. Syst, vol.19, pp.555-574, 2007.
, Stability and Asymptotic Stability for Subcritical gKdV Equations, Communications in Mathematical Physics, vol.231, issue.2, pp.347-373, 2002.
DOI : 10.1007/s00220-002-0723-2