no. 5
The modulational regime of three-dimensional water waves and the Davey-Stewartson system
Annales de l'I.H.P. Analyse non linéaire, Tome 14 (1997) no. 5, pp. 615-667 
@article{AIHPC_1997__14_5_615_0,
     author = {Craig, Walter and Schanz, Ulrich and Sulem, Catherine},
     title = {The modulational regime of three-dimensional water waves and the {Davey-Stewartson} system},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {615--667},
     year = {1997},
     publisher = {Gauthier-Villars},
     volume = {14},
     number = {5},
     mrnumber = {1470784},
     zbl = {0892.76008},
     language = {en},
     url = {https://www.numdam.org/item/AIHPC_1997__14_5_615_0/}
}
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Craig, Walter; Schanz, Ulrich; Sulem, Catherine. The modulational regime of three-dimensional water waves and the Davey-Stewartson system. Annales de l'I.H.P. Analyse non linéaire, Tome 14 (1997) no. 5, pp. 615-667. https://www.numdam.org/item/AIHPC_1997__14_5_615_0/

[1] M.J. Ablowitz and H. Segur, J. Fluid Mech., Vol. 92, 1979, pp. 691-715. | Zbl | MR

[2] D.J. Benney and G.J. Roskes, Stud. Appl. Math., Vol. 48, 1969, pp. 377-385. | Zbl

[3] M. Christ and J.L. Journé, Acta Math., Vol. 159, 1987, pp. 51-80. | Zbl | MR

[4] R.R. Coifman and Y. Meyer, Proc. Symp. Pure Math., Vol. 43, 1985, pp. 71-78. | Zbl | MR

[5] P. Collet and J.P. Eckmann, Comm. Math. Phys., Vol. 132, 1990, pp. 139-153. | Zbl | MR

[6] W. Craig, Comm. Part. Diff. Eq., Vol. 10, 1985, pp. 787-1003. | Zbl | MR

[7] W. Craig and M. Groves, Wave Motion, Vol. 19, 1994, pp. 367-389. | Zbl | MR

[8] W. Craig, C. Sulem and P.L. Sulem, Nonlinearity, Vol. 108, 1992, pp. 497-522.

[9] W. Craig and C. Sulem, J. Comp. Phys., Vol. 108, 1993, pp. 73-83. | Zbl | MR

[10] A. Davey and K. Stewartson, Proc. Roy. Soc. A, Vol. 338, 1974, pp. 101-110. | Zbl | MR

[11] V.D. Djordjevic and L.G. Redekopp, J. Fluid Mech., Vol. 79, 1977, pp. 703-714. | Zbl | MR

[12] P.R. Garabedian and M. Schiffer, J. Analyse Mathématique, Vol. 2, 1952, pp. 281-368. | Zbl | MR

[13] J.M. Ghidalia and J.C. Saut, Nonlinearity, Vol. 3, 1990, pp. 475-506. | Zbl | MR

[14] M. Guzmán-Gómez, PhD thesis, University of Toronto, 1995.

[15] H. Hasimoto and H. Ono, J. Phys. Soc. Japan, Vol. 33, 1972, pp. 805-811.

[16] N. Hayashi and J.C. Saut, Diff. and Integral Equations, Vol. 8, 1995, pp. 1657-1675. | Zbl | MR

[17] T. Kano and T. Nishida, J. Math Kyoto Univ., Vol. 19, 1979, pp. 335-370. | Zbl | MR

[18] T. Kano and T. Nishida, Osaka J. Math., Vol. 23, 1986, pp. 389-413. | Zbl | MR

[19] P. Kirrmann, G. Schneider and A. Mielke, Proceedings of the Royal Society of Edinburgh, Vol. 122A, 1992, pp. 85-91.

[20] F. Linares and G. Ponce, Ann. Inst. Poincaré, Analyse nonlinéaire, Vol. 10, 1993, pp. 523-548. | Zbl | MR | Numdam

[21] R. De La Llave And P. Panayotaros, Water waves on the surface of the sphere, J. Nonlinear Science, Vol. 6, No. 2, 1996, pp. 147-167. | Zbl | MR

[22] A. Newell, Solitons in Mathematics and Physics, SIAM, Philadelphia, 1985. | Zbl | MR

[23] L.F. Mcgoldrick, J. Fluid. Mech., Vol. 52, 1972, pp. 725-751. | Zbl

[24] G.C. Papanicolaou, C. Sulem, P.L. Sulem and X.P. Wang, Physica D, Vol. 72, 1994, pp. 61-86. | Zbl | MR

[25] R. Pierce and E. Wayne, On the validity of mean-field amplitude equations for counterpropagating wavetrains, Nonlinearity, Vol. 8, No. 5, 1995, pp. 769-779. | Zbl | MR

[26] M. Tsutsumi, J. Math. Anal. Appl., Vol. 82, 1994, pp. 680-704. | Zbl

[27] V.E. Zakharov, J. Appl. Mech. Tech. Phys., Vol. 9, 1968, pp. 190-194.