The Inverse Scattering Transform-Fourier Analysis for Nonlinear Problems, Studies in Applied Mathematics, vol.34, issue.12, pp.249-315, 1974. ,
DOI : 10.1002/sapm1974534249
Frequency Generation and Solitonic Decay in ThreeWave Interactions, Optics Express, vol.17, issue.16, pp.13889-13894, 2009. ,
DOI : 10.1364/OE.17.013889
Inverse scattering and evolution equations, Communications on Pure and Applied Mathematics, vol.34, issue.1, pp.29-42, 1985. ,
DOI : 10.1002/cpa.3160380103
On the Schrödinger approximation for wavetrains in semilinear equations ,
Wave interactions and fluid flows. Cambridge Monographs on Mechanics and Applied Mathematics, 1985. ,
The inverse scattering solution for the full three dimensional three- wave resonant interaction, Physica D: Nonlinear Phenomena, vol.1, issue.1, pp.45-67, 1980. ,
DOI : 10.1016/0167-2789(80)90004-4
Space-time evolution of nonlinear three-wave interactions. I. Interaction in a homogeneous medium, Reviews of Modern Physics, vol.51, issue.2, pp.275-309, 1979. ,
DOI : 10.1103/RevModPhys.51.275
Justification and failure of the nonlinear Schr??dinger equation in case of non-trivial quadratic resonances, Journal of Differential Equations, vol.216, issue.2, pp.354-386, 2005. ,
DOI : 10.1016/j.jde.2005.04.018
Lectures on differential and integral equations, Pure and Applied Mathematics, 1960. ,
Exact solutions to the problem of the parametric interaction of three-dimensional wave packets, Dokl. Akad. Nauk. S.S.S.R. [Translated in Soviet Phys. Dokl, vol.228, issue.21, pp.1314-1316, 1976. ,
Resonant interaction of wave packets in nonlinear media. Zh. Eksp. Tero. Fiz. Pis'ma Red, pp.413-417, 1973. ,
The theory of resonance interaction of wave packets in nonlinear media, Zh. Eksper. Teoret. Fiz. [Translated in Soviet Physics JETP, vol.69, issue.42 5, pp.1654-1673, 1975. ,
Direct and inverse scattering transforms with arbitrary spectral singularities, Communications on Pure and Applied Mathematics, vol.20, issue.7, pp.895-938, 1989. ,
DOI : 10.1002/cpa.3160420702
L2-Sobolev space bijectivity of the scattering and inverse scattering transforms, Communications on Pure and Applied Mathematics, vol.51, issue.7, pp.697-731, 1998. ,
DOI : 10.1002/(SICI)1097-0312(199807)51:7<697::AID-CPA1>3.0.CO;2-1