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Volumn 147, Issue 2, 1998, Pages 333-354

Approximation of the Korteweg-de Vries Equation by the Nonlinear Schrödinger Equation

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EID: 0039500618     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1998.3417     Document Type: Article
Times cited : (36)

References (17)
  • 3
    • 0000484304 scopus 로고
    • The time dependent amplitude equation for the Swift-Hohenberg problem
    • Collet P., Eckmann J.-P. The time dependent amplitude equation for the Swift-Hohenberg problem. Comm. Math. Phys. 132:1990;139-153.
    • (1990) Comm. Math. Phys. , vol.132 , pp. 139-153
    • Collet, P.1    Eckmann, J.-P.2
  • 4
    • 0001688084 scopus 로고
    • An existence theory for water waves and the Boussinesq and Korteweg-de Vries scaling limits
    • Craig W. An existence theory for water waves and the Boussinesq and Korteweg-de Vries scaling limits. Commun. Partial Differential Equations. 10:1985;787-1003.
    • (1985) Commun. Partial Differential Equations , vol.10 , pp. 787-1003
    • Craig, W.1
  • 5
    • 0000784514 scopus 로고
    • Nonlinear modulation of gravity waves: A region approach
    • Craig W., Sulem C., Sulem P. L. Nonlinear modulation of gravity waves: A region approach. Nonlinearity. 5:1992;497-522.
    • (1992) Nonlinearity , vol.5 , pp. 497-522
    • Craig, W.1    Sulem, C.2    Sulem, P.L.3
  • 6
    • 0000547485 scopus 로고
    • Nonlinear modulation of gravitational waves
    • Hasimoto H., Ono H. Nonlinear modulation of gravitational waves. J. Phys. Soc. Japan. 33:1972;805-811.
    • (1972) J. Phys. Soc. Japan , vol.33 , pp. 805-811
    • Hasimoto, H.1    Ono, H.2
  • 7
    • 0002137866 scopus 로고
    • Long wave asymptotics, integrable equations as asymptotic limits of non-linear systems
    • Kalyakin L. A. Long wave asymptotics, integrable equations as asymptotic limits of non-linear systems. Russian Math. Surveys. 44:1989;3-42.
    • (1989) Russian Math. Surveys , vol.44 , pp. 3-42
    • Kalyakin, L.A.1
  • 8
    • 0003123140 scopus 로고
    • Quasi-linear Equations of Evolution with Applications to Partial Differential Equations
    • Berlin/New York: Springer-Verlag. p. 25-70
    • Kato T. Quasi-linear Equations of Evolution with Applications to Partial Differential Equations. Lecture Notes in Math. 448:1974;Springer-Verlag, Berlin/New York. p. 25-70.
    • (1974) Lecture Notes in Math. , vol.448
    • Kato, T.1
  • 10
    • 84971162773 scopus 로고
    • The validity of modulation equations for extended systems with cubic nonlinearities
    • Kirrmann P., Schneider G., Mielke A. The validity of modulation equations for extended systems with cubic nonlinearities. Proc. Royal Soc. Edinburgh Sect. A. 122:1992;85-91.
    • (1992) Proc. Royal Soc. Edinburgh Sect. a , vol.122 , pp. 85-91
    • Kirrmann, P.1    Schneider, G.2    Mielke, A.3
  • 11
    • 0001524186 scopus 로고
    • On the change of form of long waves advancing in the rectangular canal and a new type of long stationary waves
    • Korteweg D. J., de Vries G. On the change of form of long waves advancing in the rectangular canal and a new type of long stationary waves. Phil. Magaz. 39:1895;422-443.
    • (1895) Phil. Magaz. , vol.39 , pp. 422-443
    • Korteweg, D.J.1    De Vries, G.2
  • 12
    • 0014662728 scopus 로고
    • Finite bandwidth, finite amplitude convection
    • Newell A., Whitehead J. Finite bandwidth, finite amplitude convection. J. Fluid Mech. 38:1969;279-303.
    • (1969) J. Fluid Mech. , vol.38 , pp. 279-303
    • Newell, A.1    Whitehead, J.2
  • 13
    • 0001656215 scopus 로고
    • Error estimates for the Ginzburg-Landau approximation
    • Schneider G. Error estimates for the Ginzburg-Landau approximation. J. Appl. Math. Physics (ZAM). 45:1994;433-457.
    • (1994) J. Appl. Math. Physics (ZAM) , vol.45 , pp. 433-457
    • Schneider, G.1
  • 14
    • 84985386714 scopus 로고
    • Validity and limitation of the Newell-Whitehead equation
    • Schneider G. Validity and limitation of the Newell-Whitehead equation. Math. Nachr. 176:1995;349-263.
    • (1995) Math. Nachr. , vol.176 , pp. 349-263
    • Schneider, G.1
  • 15
    • 0001545279 scopus 로고
    • On the validity of Ginzburg-Landau's equation
    • van Harten A. On the validity of Ginzburg-Landau's equation. J. Nonlinear Sci. 1:1991;397-422.
    • (1991) J. Nonlinear Sci. , vol.1 , pp. 397-422
    • Van Harten, A.1
  • 16
    • 34250447917 scopus 로고
    • Stability of periodic waves of finite amplitude on the surface of a deep fluid
    • Zakharov V. E. Stability of periodic waves of finite amplitude on the surface of a deep fluid. Soviet Phys. J. Appl. Mech. Tech. Phys. 4:1968;190-194.
    • (1968) Soviet Phys. J. Appl. Mech. Tech. Phys. , vol.4 , pp. 190-194
    • Zakharov, V.E.1
  • 17
    • 0003005007 scopus 로고
    • Multi-scale expansions in the theory of systems integrable by the inverse scattering transform
    • Zakharov V. E., Kuznetsov E. A. Multi-scale expansions in the theory of systems integrable by the inverse scattering transform. Phys. D. 18:1986;455-463.
    • (1986) Phys. D , vol.18 , pp. 455-463
    • Zakharov, V.E.1    Kuznetsov, E.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.