Solitons and the Inverse Scattering Transform, Society for Industrial & Applied Mathematics, issue.5, 1981. ,
DOI : 10.1137/1.9781611970883
Role of non-resonant interactions in the evolution of nonlinear random water wave fields, Journal of Fluid Mechanics, vol.561, pp.181-207, 2004. ,
DOI : 10.1017/S0022112006000632
The disintegration of wavetrains in deep water. Part 1, J. Fluid Mech, vol.27, issue.5 6, 1967. ,
Chebyshev and Fourier Spectral Methods, 2000. ,
DOI : 10.1007/978-3-642-83876-7
An index theorem for the stability of periodic travelling waves of Korteweg???de Vries type, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol.141, issue.06, pp.1411141-1173, 2008. ,
DOI : 10.1017/S0308210510001216
A variable order Runge-Kutta method for initial value problems with rapidly varying right-hand sides, ACM Transactions on Mathematical Software, vol.16, issue.3, pp.201-222, 1990. ,
DOI : 10.1145/79505.79507
Gravity Wave Turbulence in a Laboratory Flume, Physical Review Letters, vol.99, issue.1, p.14501, 2007. ,
DOI : 10.1103/PhysRevLett.99.014501
On asymptotically equivalent shallow water wave equations, Physica D: Nonlinear Phenomena, vol.190, issue.1-2, pp.1-14, 2004. ,
DOI : 10.1016/j.physd.2003.11.004
Observation of the inverse energy cascade in the modified Korteweg-de Vries equation, EPL (Europhysics Letters), vol.107, issue.1, p.14001, 2014. ,
DOI : 10.1209/0295-5075/107/14001
URL : https://hal.archives-ouvertes.fr/hal-00991944
Note on a modification to the nonlinear Schrödinger equation for application to deep water, Proc. R. Soc. Lond. A, pp.105-114, 1979. ,
A fast Fourier transform compiler, Proc. 1999 ACM SIGPLAN Conf. on Programming Language Design and Implementation, pp.169-180, 1999. ,
FFTW: an adaptive software architecture for the FFT, Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181), pp.1381-1384, 1998. ,
DOI : 10.1109/ICASSP.1998.681704
The Design and Implementation of FFTW3, Proceedings of the IEEE, pp.216-231, 2005. ,
DOI : 10.1109/JPROC.2004.840301
INTERNAL SOLITARY WAVES, Environmental Stratified Flows, pp.1-27, 2002. ,
DOI : 10.1142/9789812797568_0001
URL : https://hal.archives-ouvertes.fr/hal-00302108
Wave group dynamics in weakly nonlinear long-wave models, Physica D: Nonlinear Phenomena, vol.159, issue.1-2, pp.35-57, 2001. ,
DOI : 10.1016/S0167-2789(01)00333-5
Short-Lived Large-Amplitude Pulses in the Nonlinear Long-Wave Model Described by the Modified Korteweg-De Vries Equation, Studies in Applied Mathematics, vol.147, issue.6, pp.189-210, 2005. ,
DOI : 10.1006/jdeq.1993.1040
Solving Ordinary Differential Equations II. Stiff and Differential- Algebraic Problems, 1996. ,
DOI : 10.1007/978-3-642-05221-7
On the spectra of periodic waves for infinite-dimensional Hamiltonian systems, Phys. D, vol.237, issue.20, pp.2649-2671, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-00469963
The Fourth-Order Evolution Equation for Deep-Water Gravity-Capillary Waves, Proc. R. Soc. A, pp.359-372, 1823. ,
DOI : 10.1098/rspa.1985.0122
Computing nearly singular solutions using pseudo-spectral methods, Journal of Computational Physics, vol.226, issue.1, pp.379-397, 2007. ,
DOI : 10.1016/j.jcp.2007.04.014
Stability of Small Periodic Waves in Fractional KdV-Type Equations, SIAM Journal on Mathematical Analysis, vol.45, issue.5, pp.3168-3193, 2005. ,
DOI : 10.1137/120894397
Energy spectra of 2D gravity and capillary waves with narrow frequency band excitation, EPL (Europhysics Letters), vol.97, issue.3, p.30004, 2006. ,
DOI : 10.1209/0295-5075/97/30004
Energy transport in weakly nonlinear wave systems with narrow frequency band excitation, Physical Review E, vol.86, issue.4, p.41129, 2004. ,
DOI : 10.1103/PhysRevE.86.041129
Time scales and structures of wave interaction exemplified with water waves, EPL (Europhysics Letters), vol.102, issue.4, pp.44005-44024, 2004. ,
DOI : 10.1209/0295-5075/102/44005
The Local Structure of Turbulence in Incompressible Viscous Fluid for Very Large Reynolds Numbers, Proc. R. Soc. Lond. A, pp.9-13, 1890. ,
DOI : 10.1098/rspa.1991.0075
Korteweg???de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion, Journal of Mathematical Physics, vol.9, issue.8, p.1204, 1968. ,
DOI : 10.1063/1.1664701
Wave Turbulence, Annual Review of Fluid Mechanics, vol.43, issue.1, pp.59-78, 2004. ,
DOI : 10.1146/annurev-fluid-122109-160807
URL : https://hal.archives-ouvertes.fr/hal-00302012
Algebraic Soliton of the Modified Korteweg-de Vries Equation, Journal of the Physical Society of Japan, vol.41, issue.5, pp.1817-1818, 1976. ,
DOI : 10.1143/JPSJ.41.1817
Dynamics of modulationally unstable ionacoustic wavepackets in plasmas with negative ions, J. Plasma Phys, vol.74, issue.05, pp.639-656, 2008. ,
A modified Korteweg-de Vries equation for ion acoustic wavess due to resonant electrons, Journal of Plasma Physics, vol.39, issue.03, pp.377-387, 1973. ,
DOI : 10.1002/cpa.3160180107
Energy spectrum of the ensemble of weakly nonlinear gravity-capillary waves on a fluid surface, Journal of Experimental and Theoretical Physics, vol.119, issue.2, pp.359-365, 2014. ,
DOI : 10.1134/S1063776114080184
Spectral methods in MatLab, Society for Industrial and Applied Mathematics, issue.7, 2000. ,
DOI : 10.1137/1.9780898719598
Laboratory observations of wave group evolution, including breaking effects, Journal of Fluid Mechanics, vol.378, pp.197-232, 1999. ,
DOI : 10.1017/S0022112098003255
Variational Methods and Applications to Water Waves, Proc. R. Soc. Lond. A, pp.6-25, 1456. ,
Modulation instability and capillary wave turbulence, EPL (Europhysics Letters), vol.91, issue.1, p.14002, 2006. ,
DOI : 10.1209/0295-5075/91/14002
URL : http://arxiv.org/abs/1006.4672
Shallow-water waves, the Korteweg-deVries equation and solitons, Journal of Fluid Mechanics, vol.44, issue.04, pp.811-824, 1971. ,
DOI : 10.1063/1.1664701
Kolmogorov Spectra of Turbulence I. Wave Turbulence, Series in Nonlinear Dynamics, 1992. ,