@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}, publisher = {Gauthier-Villars}, volume = {14}, number = {5}, year = {1997}, mrnumber = {1470784}, zbl = {0892.76008}, language = {en}, url = {http://www.numdam.org/item/AIHPC_1997__14_5_615_0/} }
TY - JOUR AU - Craig, Walter AU - Schanz, Ulrich AU - Sulem, Catherine TI - The modulational regime of three-dimensional water waves and the Davey-Stewartson system JO - Annales de l'I.H.P. Analyse non linéaire PY - 1997 SP - 615 EP - 667 VL - 14 IS - 5 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPC_1997__14_5_615_0/ LA - en ID - AIHPC_1997__14_5_615_0 ER -
%0 Journal Article %A Craig, Walter %A Schanz, Ulrich %A Sulem, Catherine %T The modulational regime of three-dimensional water waves and the Davey-Stewartson system %J Annales de l'I.H.P. Analyse non linéaire %D 1997 %P 615-667 %V 14 %N 5 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPC_1997__14_5_615_0/ %G en %F AIHPC_1997__14_5_615_0
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. http://www.numdam.org/item/AIHPC_1997__14_5_615_0/
[1] J. Fluid Mech., Vol. 92, 1979, pp. 691-715. | MR | Zbl
and ,[2] Stud. Appl. Math., Vol. 48, 1969, pp. 377-385. | Zbl
and ,[3] Acta Math., Vol. 159, 1987, pp. 51-80. | MR | Zbl
and ,[4] Proc. Symp. Pure Math., Vol. 43, 1985, pp. 71-78. | MR | Zbl
and ,[5] Comm. Math. Phys., Vol. 132, 1990, pp. 139-153. | MR | Zbl
and ,[6] Comm. Part. Diff. Eq., Vol. 10, 1985, pp. 787-1003. | MR | Zbl
,[7] Wave Motion, Vol. 19, 1994, pp. 367-389. | MR | Zbl
and ,[8] Nonlinearity, Vol. 108, 1992, pp. 497-522.
, and ,[9] J. Comp. Phys., Vol. 108, 1993, pp. 73-83. | MR | Zbl
and ,[10] Proc. Roy. Soc. A, Vol. 338, 1974, pp. 101-110. | MR | Zbl
and ,[11] J. Fluid Mech., Vol. 79, 1977, pp. 703-714. | MR | Zbl
and ,[12] J. Analyse Mathématique, Vol. 2, 1952, pp. 281-368. | MR | Zbl
and ,[13] Nonlinearity, Vol. 3, 1990, pp. 475-506. | MR | Zbl
and ,[14] PhD thesis, University of Toronto, 1995.
,[15] J. Phys. Soc. Japan, Vol. 33, 1972, pp. 805-811.
and ,[16] Diff. and Integral Equations, Vol. 8, 1995, pp. 1657-1675. | MR | Zbl
and ,[17] J. Math Kyoto Univ., Vol. 19, 1979, pp. 335-370. | MR | Zbl
and ,[18] Osaka J. Math., Vol. 23, 1986, pp. 389-413. | MR | Zbl
and ,[19] Proceedings of the Royal Society of Edinburgh, Vol. 122A, 1992, pp. 85-91.
, and ,[20] Ann. Inst. Poincaré, Analyse nonlinéaire, Vol. 10, 1993, pp. 523-548. | Numdam | MR | Zbl
and ,[21] Water waves on the surface of the sphere, J. Nonlinear Science, Vol. 6, No. 2, 1996, pp. 147-167. | MR | Zbl
,[22] Solitons in Mathematics and Physics, SIAM, Philadelphia, 1985. | MR | Zbl
,[23] J. Fluid. Mech., Vol. 52, 1972, pp. 725-751. | Zbl
,[24] Physica D, Vol. 72, 1994, pp. 61-86. | MR | Zbl
, , and ,[25] On the validity of mean-field amplitude equations for counterpropagating wavetrains, Nonlinearity, Vol. 8, No. 5, 1995, pp. 769-779. | MR | Zbl
and ,[26] J. Math. Anal. Appl., Vol. 82, 1994, pp. 680-704. | Zbl
,[27] J. Appl. Mech. Tech. Phys., Vol. 9, 1968, pp. 190-194.
,