, Large time existence for 3D water-waves and asymptotics, Invent. Math, vol.171, pp.165-186, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00128402
, Multi-peakons and the classical moment problem, Adv. Math, vol.154, issue.2, pp.229-257, 2000.
, The stability of solitary waves, Proc. Roy. Soc. London Ser. A, vol.328, pp.153-183, 1972.
, Uniqueness of conservative solutions to the CamassaHolm equation via characteristics, Discr. Cont. Dyn. Syst, vol.35, pp.25-42, 2015.
, Global conservative solutions of the Camassa-Holm equation, Arch. Rational Mech. Anal, vol.187, pp.215-239, 2007.
, Global dissipative solutions of the Camassa-Holm equation, Analysis and Applications, vol.5, pp.1-27, 2007.
, An integrable shallow water equation with peaked solitons, Phys. rev. Lett, vol.71, pp.1661-1664, 1993.
, An new integrable shallow water equation, Adv. Appl. Mech, p.31, 1994.
, Existence of permanent and breaking waves for a shallow water equations: a geometric approach, Ann. Inst. Fourier, vol.50, pp.321-362, 2000.
, On the scattering problem for the Camassa-Holm equation, Proc. Roy. Soc. London Ser. A, vol.457, pp.953-970, 2001.
, Global existence and blow-up for a shallow water equation, Annali Sc. Norm. Sup. Pisa, vol.26, pp.303-328, 1998.
, Inverse scattering transform for the CamassaHolm equation, Inverse problems, vol.22, pp.2197-2207, 2006.
, The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi Equations Arch, Rat. Mech. Anal, vol.192, pp.165-186, 2009.
, Geodesic flow on the diffeomorphism group of the circle, Comment. Math. Helv, vol.78, pp.787-804, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00003261
, Global weak solutions for a shallow water equation, Comm. Math. Phys, vol.211, pp.45-61, 2000.
, Stability of peakons, Commun. Pure Appl. Math, vol.53, pp.603-610, 2000.
, A few remarks on the Camassa-Holm equation, Diff. Int. Equ, vol.14, pp.953-980, 2001.
, Asymptotic integrability.Symmetry and perturbation theory, pp.23-37, 1998.
, A new integrable equation with peakon solutions, Theoret. and Math. Phys, vol.133, issue.2, pp.1463-1474, 2002.
, On the isospectral problem of the dispersionless Camassa-Holm equation, Adv. Math, vol.235, pp.469-495, 2013.
, Stability of N solitary waves for the generalized BBM equations, Dyn. Partial Differ. Equ, vol.1, pp.401-437, 2004.
, Stability of multipeakons, Ann. Inst. H. Poincaré Anal. Non Linéaire, vol.26, issue.4, pp.1517-1532, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00260227
, Stability of train of anti-peakons-peakons, Discrete Contin. Dyn. Syst. Ser. B, vol.12, issue.3, pp.561-577, 2009.
, Stability theory of solitary waves in the presence of symmetry, J. Funct. Anal, vol.74, pp.160-197, 1987.
, Global existence and blow-up phenomena for the peakon b-family of equations, Indiana Univ. Math. J, vol.57, pp.1209-1234, 2008.
, Large time behavior in perfect incompressible flows, Partial differential equations and applications, Sémin. Congr, vol.15, pp.119-179, 2007.
, Global conservative solutions of the Camassa-Holm equation-a Lagrangian point of view, Com. Partial Differ. Equ, vol.32, pp.1511-1549, 2007.
, Global dissipative multipeakon solutions for the Camassa-Holm equation, Com. Partial Differ. Equ, vol.32, pp.2040-2063, 2008.
DOI : 10.1080/03605300802501715
URL : http://folk.uio.no/xavierra/MyArticles/multpeakdiss.pdf
, Wave structure and nonlinear balance in a family of 1 + 1 evolutionary PDE's, SIAM J. Appl. Dyn. Syst, vol.2, pp.323-380, 2003.
, Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramp/cliffs and deftons in 1+1 nonlinear evolutionary PDE, Phys. Lett. A, vol.308, pp.437-444, 2003.
, Camassa-Holm, Korteweg-de Vries and related models for water waves, J. Fluid Mech, vol.455, pp.63-82, 2002.
, Stability in the energy space of the sum of N peakons for the DegasperisProcesi equation, J. Differential Equations, vol.259, issue.5, pp.1841-1897, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01111847
, A remark on the stability of peakons for the Degasperis-Procesi Equation, Nonlinear Analysis, vol.132, pp.318-326, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01145729
, Lie groups and mechanics: an introduction, J. Nonlinear Math. Phys, vol.11, 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.
DOI : 10.3934/dcds.2007.19.555
URL : https://hal.archives-ouvertes.fr/hal-00186392
, Stability of Peakons for the Degasperis-Procesi Equation Comm, Pure Applied Math, vol.62, pp.125-146, 2009.
, Global Existence and Blow-Up Phenomena for the Degasperis-Procesi Equation Comm, Math. Phys, vol.267, pp.801-820, 2006.
DOI : 10.1007/s00220-006-0082-5
, Tsai Stability and asymptotic stability in the energy space of the sum of N solitons for subcritical gKdV equations, Comm. Math. Phys, vol.231, pp.347-373, 2002.
, Asymptotic stability of solitons for subcritical generalized KdV equations, Arch. Ration. Mech. Anal, vol.157, issue.3, pp.219-254, 2001.
DOI : 10.1007/s002050100138
, Asymptotic stability of solitons of the gKdV equations with general nonlinearity, Math. Ann, vol.341, issue.2, pp.391-427, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00678864
, On well-posedness results for Camassa-Holm equation on the line: a survey, J. Nonlinear Math. Phys, vol.11, pp.521-533, 2004.
DOI : 10.2991/jnmp.2004.11.4.8
URL : http://www.tandfonline.com/doi/pdf/10.2991/jnmp.2004.11.4.8?needAccess=true
, A Liouville property with application to asymptotic stability for the CamassaHolm equation Arch, Ration. Mech. Anal, vol.230, issue.1, pp.185-230, 2018.
DOI : 10.1007/s00205-018-1243-3
URL : http://arxiv.org/pdf/1804.06225
, On solutions to the Holm-Staley b-family of equations, Nonlinearity, vol.23, issue.2, pp.369-383, 2010.
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