On the transverse instability of solitary waves in the Kadomtsev-Petviashvili equation, Physics Letters A, vol.226, issue.3-4, pp.187-192, 1997. ,
DOI : 10.1016/S0375-9601(96)00921-8
Integral representation of functions and embedding theorems, 1978. ,
The Initial-Value Problem for the Korteweg-De Vries Equation, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.278, issue.1287, pp.1287-555, 1975. ,
DOI : 10.1098/rsta.1975.0035
On the Cauchy problem for the Kadomtsev-Petviashvili equation, pp.315-341, 1993. ,
Strichartz inequalities and the nonlinear Schrodinger equation on compact manifolds, American Journal of Mathematics, vol.126, issue.3, pp.569-605, 2004. ,
DOI : 10.1353/ajm.2004.0016
Soliton Interactions in Two Dimensions, Advances in Applied Mathematics, vol.20, pp.1-37, 1980. ,
DOI : 10.1016/S0065-2156(08)70231-X
On the solvability of the N-wave, Davey-Stewartson and Kadomtsev-Petviashvili equations, Inverse Problems, vol.8, issue.5, pp.673-708, 1992. ,
DOI : 10.1088/0266-5611/8/5/002
Inverse scattering transform for the KPI equation on the background of a one-line soliton*, Nonlinearity, vol.16, issue.2, pp.771-783, 2003. ,
DOI : 10.1088/0951-7715/16/2/323
Korteweg-de Vries and Benjamin-Ono equations on Zhidkov spaces, Adv. Differential Equations, vol.10, pp.277-308, 2005. ,
A dimension-breaking phenomenon in the theory of steady gravity-capillary water waves, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.360, issue.1799, pp.360-2337, 2002. ,
DOI : 10.1098/rsta.2002.1066
Travelling waves of the KP equations with transverse modulations, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.328, issue.3, pp.227-232, 1999. ,
DOI : 10.1016/S0764-4442(99)80126-8
Local and global well-posedness of periodic KP-I equations, 2005. ,
On equations of KP-type, Proc. Roy. Soc, pp.725-743, 1998. ,
LOCAL AND GLOBAL CAUCHY PROBLEMS FOR THE KADOMTSEV???PETVIASHVILI (KP???II) EQUATION IN SOBOLEV SPACES OF NEGATIVE INDICES, Communications in Partial Differential Equations, vol.9, issue.5-6, pp.1027-1057, 2001. ,
DOI : 10.1080/03605309908821468
Existence and uniqueness of the solution to the modified Schr??dinger map, Mathematical Research Letters, vol.12, issue.2, pp.171-186, 2005. ,
DOI : 10.4310/MRL.2005.v12.n2.a3
Commutator estimates and the euler and navier-stokes equations, Communications on Pure and Applied Mathematics, vol.18, issue.7, pp.891-907, 1988. ,
DOI : 10.1002/cpa.3160410704
On the local and global well-posedness theory for the KP-I equation, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.21, issue.6, pp.827-838, 2004. ,
DOI : 10.1016/j.anihpc.2003.12.002
On the local well-posedness of the Benjamin-Ono and modified Benjamin-Ono equations, Mathematical Research Letters, vol.10, issue.6, pp.879-895, 2003. ,
DOI : 10.4310/MRL.2003.v10.n6.a13
The Cauchy problem for the Hyperbolic-Elliptic Ishimori system and Schrödinger maps, 2004. ,
Oscillatory integrals and regularity of dispersive equations, Indiana Univ, Math. J, vol.40, issue.1, pp.33-69, 1991. ,
DOI : 10.1515/9781400852949.268
Well-posedness and scattering results for the generalized korteweg-de vries equation via the contraction principle, Communications on Pure and Applied Mathematics, vol.34, issue.4, pp.46-527, 1993. ,
DOI : 10.1002/cpa.3160460405
Tzvetkov Local well-posedness of the Benjamin-Ono equation in H s (R), I, M.R.N, vol.26, pp.1449-1464, 2003. ,
On the Asymptotic Behavior of Solutions to the (Generalized) Kadomtsev???Petviashvili???Burgers Equations, Journal of Differential Equations, vol.152, issue.1, pp.30-74, 1999. ,
DOI : 10.1006/jdeq.1998.3522
The Global Cauchy Problem in Bourgain's-Type Spaces for a Dispersive Dissipative Semilinear Equation, SIAM Journal on Mathematical Analysis, vol.33, issue.6, pp.1269-1296, 2002. ,
DOI : 10.1137/S0036141000374634
Global well-posedness for the KP-I equation, Mathematische Annalen, vol.324, issue.2, pp.255-275, 2002. ,
DOI : 10.1007/s00208-002-0338-0
URL : https://hal.archives-ouvertes.fr/hal-00104398
Well-posedness and ill-posedness for the Kadomtsev- Petviashvili-I equation, Duke Math, J, vol.115, issue.2, pp.353-384, 2002. ,
Remarks on the generalized Kadomtsev-Petviashvili equations, Indiana Univ, Math. J, vol.42, pp.1017-1029, 1993. ,
Periodic solutions of Kadomtsev-Petviashvili, Advances in Mathematics, vol.66, issue.3, pp.217-233, 1987. ,
DOI : 10.1016/0001-8708(87)90035-1
The periodic soliton resonance: Solutions to the Kadomtsev-Petviashvili equation with positive dispersion, Physics Letters A, vol.143, issue.4-5, pp.217-220, 1990. ,
DOI : 10.1016/0375-9601(90)90742-7
Global well-posedness for the Kadomtsev-Petviashvili II equation, Discrete Contin, Dynam. Systems, vol.6, pp.483-499, 2000. ,
DOI : 10.3934/dcds.2000.6.483
On the local regularity of Kadomtsev-Petviashvili-II equation, pp.77-114, 2001. ,
On a generalized Kadomtsev-Petviashvili equation, Contemporary Mathematics AMS, vol.200, pp.193-210, 1996. ,
DOI : 10.1090/conm/200/02515
Global low regularity solutions for Kadomtsev-Petviashvili equation, Diff. Int. Eq, vol.13, pp.1289-1320, 2000. ,
Inverse scattering for the heat operator and evolutions in 2+1 variables, Communications in Mathematical Physics, vol.3, issue.1, pp.67-89, 1987. ,
DOI : 10.1007/BF01210703
Formation of stationary waves by superposition of solitons, Sov. Phys. Dokl, vol.28, issue.9, pp.720-722, 1983. ,
Degenerative dispersion laws, motion invariants and kinetic equations, Physica D: Nonlinear Phenomena, vol.1, issue.2, pp.192-202, 1980. ,
DOI : 10.1016/0167-2789(80)90011-1
Inverse scattering transform for the time dependent Schrödinger equation with applications to the KP-I equation, Comm. Math. Phys, pp.128-551, 1990. ,