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Volumn 15, Issue 2, 1999, Pages 215-224

Well-Posedness of the Cauchy Problem for the Coupled System of the Schrödinger-KdV Equations

Author keywords

Cauchy problem; Schr dinger KdV equations; Well posedness

Indexed keywords


EID: 0345271822     PISSN: 14398516     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02650665     Document Type: Article
Times cited : (15)

References (12)
  • 1
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    • Appert, K.1    Vaclavik, J.2
  • 2
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    • Dynamics of classical solitons
    • V G Makhankov. Dynamics of classical solitons. Phys Replotes A. 1978, 35(1): 1-128
    • (1978) Phys Replotes A , vol.35 , Issue.1 , pp. 1-128
    • Makhankov, V.G.1
  • 3
    • 84971193888 scopus 로고
    • On the theory of Langmuir solitons
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    • (1977) J Plasma Phys , vol.17 , Issue.2 , pp. 153-170
    • Gibbon, J.1
  • 4
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    • The global existence and uniqueness of solution for peroidic boundary value problem and initial value problemn for a class of coupled system of Schrödinger-KdV equations
    • Boling Guo. The global existence and uniqueness of solution for peroidic boundary value problem and initial value problemn for a class of coupled system of Schrödinger-KdV equations. Acta Math Sinica, 1983, 26(5): 513-532
    • (1983) Acta Math Sinica , vol.26 , Issue.5 , pp. 513-532
    • Guo, B.1
  • 5
    • 0001969794 scopus 로고
    • Oscillatory integral and regularity of dispersive equations
    • C E Kenig, G Ponce, L Vega. Oscillatory integral and regularity of dispersive equations. Indiana University Math Journal, 1991, 40(1): 33-69
    • (1991) Indiana University Math Journal , vol.40 , Issue.1 , pp. 33-69
    • Kenig, C.E.1    Ponce, G.2    Vega, L.3
  • 6
    • 84972553620 scopus 로고
    • Restrictions of Fourier transforms to quadratic surfaces and decay of solution of wave equations
    • R Strichartz. Restrictions of Fourier transforms to quadratic surfaces and decay of solution of wave equations. Duke Math J, 1977, 44(3): 705-714
    • (1977) Duke Math J , vol.44 , Issue.3 , pp. 705-714
    • Strichartz, R.1
  • 7
    • 0001404168 scopus 로고
    • On nonlinear Schrödinger equations
    • T Kato. On nonlinear Schrödinger equations. Ann Inst Henri Poincaré, 1987, 46(1): 103-129
    • (1987) Ann Inst Henri Poincaré , vol.46 , Issue.1 , pp. 103-129
    • Kato, T.1
  • 9
    • 84968504995 scopus 로고
    • A strong type (2,2) estimate for the maximal function associated to the Schrödinger equations
    • C E Kenig, A Ruiz. A strong type (2,2) estimate for the maximal function associated to the Schrödinger equations. Trans Amer Math Soc, 1983, 280(1): 239-246
    • (1983) Trans Amer Math Soc , vol.280 , Issue.1 , pp. 239-246
    • Kenig, C.E.1    Ruiz, A.2
  • 10
    • 84990553608 scopus 로고
    • Well-posedness and scattering results for generalized KdV equation via contraction principles
    • C E Kenig, G Ponce, L Vega. Well-posedness and scattering results for generalized KdV equation via contraction principles. Comm on Pure and Appl Math, 1993, 46(11): 527-620
    • (1993) Comm on Pure and Appl Math , vol.46 , Issue.11 , pp. 527-620
    • Kenig, C.E.1    Ponce, G.2    Vega, L.3
  • 12
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    • On a class of nonlinear Schödinger equations
    • J Ginibre, G Velo. On a class of nonlinear Schödinger equations. J Functional Analysis, 1979, 32(1): 1-71
    • (1979) J Functional Analysis , vol.32 , Issue.1 , pp. 1-71
    • Ginibre, J.1    Velo, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.