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. 
@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://archive.numdam.org/item/AIHPA_1995__62_1_69_0/}
}
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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://archive.numdam.org/item/AIHPA_1995__62_1_69_0/

[1] H. Berestycki and T. Cazenave, 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

[2] T. Cazenave and P.-L. Lions, Orbital stability of standing waves for some nonlinear Schrödinger equations, Comm. Math. Phys., Vol. 85, 1982, pp. 549-561. | MR | Zbl

[3] R. Cipolatti, On the existence of standing waves for a Davey-Stewartson system, Comm. P.D.E., Vol. 17, 1992, pp. 967-988. | MR | Zbl

[4] R. Cipolatti, 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] A. Davey and K. Stewartson, On three-dimensional packets of surfae waves, Proc. R. Soc., A., Vol. 338, 1974, pp. 101-110. | MR | Zbl

[6] J.-M. Ghidaglia and J.-C. Saut, On the initial value problem for the Davey-Stewartson systems, Nonlinearity, Vol. 3, 1990, pp. 475-506. | MR | Zbl

[7] J.M. Gonçalves Ribeiro, 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] M. Ohta, Stability of standing waves for the generalized Davey-Stewartson system, J. Dyn. Diff. Eq. (to appear). | MR | Zbl

[9] J. Shatah and W.A. Strauss, Instability of nonlinear bound states, Comm. Math. Phys., Vol. 100, 1985, pp. 173-190. | MR | Zbl

[10] M.I. Weinstein, Nonlinear Schrödinger equations and sharp interpolation estimates, Comm. Math. Phys., Vol. 87, 1983, pp. 567-576. | MR | Zbl