메뉴 건너뛰기




Volumn 44, Issue 8, 2001, Pages 994-1002

On the initial value problem and scattering of solutions for the generalized Davey-Stewartson systems

Author keywords

Davey Stewartson systems; Hs solutions; Initial value problem; Scattering operators

Indexed keywords


EID: 0035428405     PISSN: 10069283     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02878975     Document Type: Article
Times cited : (16)

References (15)
  • 1
    • 0001231291 scopus 로고
    • Nonlinear evolution equations in two and three dimensions
    • Ablowitz, M. J., Haberman, R., Nonlinear evolution equations in two and three dimensions, Phys. Rev. Lett., 1975, 35: 1185-1188.
    • (1975) Phys. Rev. Lett. , vol.35 , pp. 1185-1188
    • Ablowitz, M.J.1    Haberman, R.2
  • 2
    • 0000541374 scopus 로고
    • On three dimensional packets of surface waves
    • Davey, A., Stewartson, K., On three dimensional packets of surface waves, Proc. Roy. Soc. Ser. A, 1974, 338: 101-110.
    • (1974) Proc. Roy. Soc. Ser. A , vol.338 , pp. 101-110
    • Davey, A.1    Stewartson, K.2
  • 3
    • 0348090464 scopus 로고
    • On the initial value problem for the Davey-Stewartson systems
    • Ghidaglia, J. M., Saut, J. C., On the initial value problem for the Davey-Stewartson systems, Nonlinearity, 1990, 3: 475-506.
    • (1990) Nonlinearity , vol.3 , pp. 475-506
    • Ghidaglia, J.M.1    Saut, J.C.2
  • 4
    • 84972513603 scopus 로고
    • Global existence of small solutions to the Davey-Stewartson and the Ishimori systems
    • Hayashi, N., Saut, J. C., Global existence of small solutions to the Davey-Stewartson and the Ishimori systems, Diff. Integ. Equation, 1995, 8: 1657-1675.
    • (1995) Diff. Integ. Equation , vol.8 , pp. 1657-1675
    • Hayashi, N.1    Saut, J.C.2
  • 5
    • 0002084830 scopus 로고
    • Stability of standing waves for the generalized Davey-Stewartson systems
    • Ohta, M., Stability of standing waves for the generalized Davey-Stewartson systems, J. Dyn. Diff. Eqs., 1994, 6: 325-334.
    • (1994) J. Dyn. Diff. Eqs. , vol.6 , pp. 325-334
    • Ohta, M.1
  • 6
    • 0002893518 scopus 로고
    • Instability of standing waves for the generalized Davey-Stewartson systems
    • Ohta, M., Instability of standing waves for the generalized Davey-Stewartson systems, Ann. Inst. Henri. Poncare Phys. Theor., 1995, 63: 69-80.
    • (1995) Ann. Inst. Henri. Poncare Phys. Theor. , vol.63 , pp. 69-80
    • Ohta, M.1
  • 7
    • 0039631562 scopus 로고
    • Exact blow-up solutions to the Cauchy problem for the Davey-Stewartson systems
    • Ozawa, T., Exact blow-up solutions to the Cauchy problem for the Davey-Stewartson systems, Proc. Roy. Soc. London A, 1992, 436: 345-349.
    • (1992) Proc. Roy. Soc. London A , vol.436 , pp. 345-349
    • Ozawa, T.1
  • 8
    • 0040591476 scopus 로고
    • Long time decay of the solutions of the Davey-Stewartson II equations
    • Sung, L. Y., Long time decay of the solutions of the Davey-Stewartson II equations, J. Nonlinear Sci., 1995, 5: 433-452.
    • (1995) J. Nonlinear Sci. , vol.5 , pp. 433-452
    • Sung, L.Y.1
  • 9
    • 0033407819 scopus 로고    scopus 로고
    • The Cauchy problem for the Davey-Stewartson system
    • Guo, B. L., Wang, B. X., The Cauchy problem for the Davey-Stewartson system, Comm. on Pure Appl. Math., 1999, LII: 1477-1490.
    • (1999) Comm. on Pure Appl. Math. , vol.52 , pp. 1477-1490
    • Guo, B.L.1    Wang, B.X.2
  • 11
    • 0004381392 scopus 로고    scopus 로고
    • Bessel (Riesz) potentials on banach function spaces and their applications (I) theory
    • Wang, B. X., Bessel (Riesz) potentials on Banach function spaces and their applications (I) Theory, Acta Math. Sinica, 1998, 14: 327-340.
    • (1998) Acta Math. Sinica , vol.14 , pp. 327-340
    • Wang, B.X.1
  • 14
    • 0000890194 scopus 로고
    • On the global Cauchy problem for nonlinear Klein-Gordon equations
    • Ginibre, J., Velo, G., On the global Cauchy problem for nonlinear Klein-Gordon equations, Math. Z, 1985, 189: 487-505.
    • (1985) Math. Z , vol.189 , pp. 487-505
    • Ginibre, J.1    Velo, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.