@article{AIHPA_1995__62_1_69_0, author = {Ohta, Masahito}, title = {Instability of standing waves for the generalized {Davey-Stewartson} system}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {69--80}, publisher = {Gauthier-Villars}, volume = {62}, number = {1}, year = {1995}, mrnumber = {1313361}, zbl = {0839.35012}, language = {en}, url = {http://www.numdam.org/item/AIHPA_1995__62_1_69_0/} }
TY - JOUR AU - Ohta, Masahito TI - Instability of standing waves for the generalized Davey-Stewartson system JO - Annales de l'I.H.P. Physique théorique PY - 1995 SP - 69 EP - 80 VL - 62 IS - 1 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPA_1995__62_1_69_0/ LA - en ID - AIHPA_1995__62_1_69_0 ER -
Ohta, Masahito. Instability of standing waves for the generalized Davey-Stewartson system. Annales de l'I.H.P. Physique théorique, Tome 62 (1995) no. 1, pp. 69-80. http://www.numdam.org/item/AIHPA_1995__62_1_69_0/
[1] Instabilité des états stationnaires dans les équations de Schrödinger et de Klein-Gordon non linéaires, C.R. Acad. Sci., Paris, Vol. 293, 1981, pp. 489-492. | MR | Zbl
and ,[2] Orbital stability of standing waves for some nonlinear Schrödinger equations, Comm. Math. Phys., Vol. 85, 1982, pp. 549-561. | MR | Zbl
and ,[3] On the existence of standing waves for a Davey-Stewartson system, Comm. P.D.E., Vol. 17, 1992, pp. 967-988. | MR | Zbl
,[4] On the instability of ground states for a Davey-Stewartson system, Ann. Inst. H. Poincaré, Phys. Théor., Vol. 58, 1993, pp. 85-104. | EuDML | Numdam | MR | Zbl
,[5] On three-dimensional packets of surfae waves, Proc. R. Soc., A., Vol. 338, 1974, pp. 101-110. | MR | Zbl
and ,[6] On the initial value problem for the Davey-Stewartson systems, Nonlinearity, Vol. 3, 1990, pp. 475-506. | MR | Zbl
and ,[7] Instability of symmetric stationary states for some nonlinear Schrödinger equations with an external magnetic field, Ann. Inst. H. Poincaré, Phys. Théor. Vol. 54, 1991, pp. 403-433 | EuDML | Numdam | MR | Zbl
,[8] Stability of standing waves for the generalized Davey-Stewartson system, J. Dyn. Diff. Eq. (to appear). | MR | Zbl
,[9] Instability of nonlinear bound states, Comm. Math. Phys., Vol. 100, 1985, pp. 173-190. | MR | Zbl
and ,[10] Nonlinear Schrödinger equations and sharp interpolation estimates, Comm. Math. Phys., Vol. 87, 1983, pp. 567-576. | MR | Zbl
,