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Volumn 260, Issue 2, 2001, Pages 546-571

On the semiclassical limit of the general modified NLS equation

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EID: 0035882847     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2001.7482     Document Type: Article
Times cited : (15)

References (30)
  • 1
    • 0001896611 scopus 로고    scopus 로고
    • Some singular limits for evolutionary Ginzburg Landau equations
    • Colin T., Soyeur A. Some singular limits for evolutionary Ginzburg Landau equations. Asymptotic Anal. 13:1996;361-372.
    • (1996) Asymptotic Anal. , vol.13 , pp. 361-372
    • Colin, T.1    Soyeur, A.2
  • 2
    • 0034380197 scopus 로고    scopus 로고
    • Semiclassical limit of the derivative nonlinear Schrödinger equation
    • Desjardins B., Lin C.-K., Tso T.-C. Semiclassical limit of the derivative nonlinear Schrödinger equation. Math. Model Methods Appl. Sci. 10:2000;261-285.
    • (2000) Math. Model Methods Appl. Sci. , vol.10 , pp. 261-285
    • Desjardins, B.1    Lin, C.-K.2    Tso, T.-C.3
  • 3
    • 0000538578 scopus 로고    scopus 로고
    • A review of dispersive limit of the (non)linear Schrödinger-type equation
    • Gasser I., Lin C.-K., Markowich P. A review of dispersive limit of the (non)linear Schrödinger-type equation. Taiwanese J. Math. 4:2000;501-529.
    • (2000) Taiwanese J. Math. , vol.4 , pp. 501-529
    • Gasser, I.1    Lin, C.-K.2    Markowich, P.3
  • 4
    • 21944449213 scopus 로고    scopus 로고
    • Semiclassical limit of the nonlinear Schrödinger equation in small time
    • Grenier E. Semiclassical limit of the nonlinear Schrödinger equation in small time. Proc. Amer. Math. Soc. 126:1998;523-530.
    • (1998) Proc. Amer. Math. Soc. , vol.126 , pp. 523-530
    • Grenier, E.1
  • 5
    • 0000953038 scopus 로고
    • The behavior of solutions of the NLS equation in the semiclassical limit
    • N. Ercolani. Singular Limits of Dispersive Wates. Dordrecht: Kluwer Academic
    • Jin S., Levermore C. D., McLaughlin D. W. The behavior of solutions of the NLS equation in the semiclassical limit. Ercolani N. Singular Limits of Dispersive Wates. NATO ASI Series, Series B, Physics. 320:1994;235-256 Kluwer Academic, Dordrecht.
    • (1994) NATO ASI Series, Series B, Physics , vol.320 , pp. 235-256
    • Jin, S.1    Levermore C., D.2    McLaughlin D., W.3
  • 7
    • 36749109491 scopus 로고
    • An exact solution for a derivative nonlinear Schrödinger equation
    • Kaup D. J., Newell A. C. An exact solution for a derivative nonlinear Schrödinger equation. J. Math. Phys. 19:1978;789-801.
    • (1978) J. Math. Phys. , vol.19 , pp. 789-801
    • Kaup D., J.1    Newell A., C.2
  • 8
    • 0020310998 scopus 로고
    • Evolution of nonlinear Alfvén waves propagating along the magnetic fields in a collisionless plasma
    • Khanna M., Rajaram R. Evolution of nonlinear Alfvén waves propagating along the magnetic fields in a collisionless plasma. J. Plasma Phys. 28:1982;459-468.
    • (1982) J. Plasma Phys. , vol.28 , pp. 459-468
    • Khanna, M.1    Rajaram, R.2
  • 9
    • 84980156074 scopus 로고
    • Singular limits and quasilinear systems with large parameter and the incompressible limit of compressible fluids
    • Klainerman S., Majda A. Singular limits and quasilinear systems with large parameter and the incompressible limit of compressible fluids. Comm. Pure Appl. Math. 34:1981;481-524.
    • (1981) Comm. Pure Appl. Math. , vol.34 , pp. 481-524
    • Klainerman, S.1    Majda, A.2
  • 10
    • 84990557419 scopus 로고
    • Compressible and incompressible fluids
    • Klainerman S., Majda A. Compressible and incompressible fluids. Comm. Pure Appl. Math. 35:1982;637-656.
    • (1982) Comm. Pure Appl. Math. , vol.35 , pp. 637-656
    • Klainerman, S.1    Majda, A.2
  • 13
    • 84966253361 scopus 로고
    • Global solvability of the derivative nonlinear Schrödinger equation
    • Lee J.-H. Global solvability of the derivative nonlinear Schrödinger equation. Trans. Amer. Math. Soc. 314:1989;107-118.
    • (1989) Trans. Amer. Math. Soc. , vol.314 , pp. 107-118
    • Lee, J.-H.1
  • 14
    • 84966230855 scopus 로고
    • On the dissipative evolution equations associated with the Zakharov Shabat system with a quadratic spectral parameter
    • Lee J.-H. On the dissipative evolution equations associated with the Zakharov Shabat system with a quadratic spectral parameter. Trans. Amer. Math. Soc. 316:1989;327-336.
    • (1989) Trans. Amer. Math. Soc. , vol.316 , pp. 327-336
    • Lee, J.-H.1
  • 15
    • 0002090050 scopus 로고    scopus 로고
    • On the fluid dynamical analogue of the general nonlinear Schrödinger equation
    • Lin C.-K. On the fluid dynamical analogue of the general nonlinear Schrödinger equation. Southeast Asia Bull. Math. 22:1998;45-56.
    • (1998) Southeast Asia Bull. Math. , vol.22 , pp. 45-56
    • Lin, C.-K.1
  • 16
    • 0000218519 scopus 로고    scopus 로고
    • Remark on the singularity of the nonlinear Schrödinger equation
    • Lin C.-K. Remark on the singularity of the nonlinear Schrödinger equation. Southeast Asia Bull. Math. 22:1998;161-170.
    • (1998) Southeast Asia Bull. Math. , vol.22 , pp. 161-170
    • Lin, C.-K.1
  • 17
    • 0033248349 scopus 로고    scopus 로고
    • On the incompressible fluid limit and the vortex motion law of the nonlinear Schrödinger equation
    • Lin F.-H., Xin J. X. On the incompressible fluid limit and the vortex motion law of the nonlinear Schrödinger equation. Comm. Math. Phys. 200:1999;249-274.
    • (1999) Comm. Math. Phys. , vol.200 , pp. 249-274
    • Lin, F.-H.1    Xin J., X.2
  • 18
    • 34250913931 scopus 로고
    • Quantetheorie in Hydrodynamischer Form
    • Madelung E. Quantetheorie in Hydrodynamischer Form. Z. Phys. 40:1927;322.
    • (1927) Z. Phys. , vol.40 , pp. 322
    • Madelung, E.1
  • 19
    • 0003202932 scopus 로고
    • Compressible fluid flow and systems of conservation laws in several space variables
    • Berlin/New York: Springer-Verlag
    • Majda A. Compressible fluid flow and systems of conservation laws in several space variables. Applied Mathematical Science. 1984;Springer-Verlag, Berlin/New York.
    • (1984) Applied Mathematical Science
    • Majda, A.1
  • 20
    • 0001344386 scopus 로고    scopus 로고
    • Scattering of solitons in the derivative nonlinear Schrödinger model
    • Min H., Park Q.-H. Scattering of solitons in the derivative nonlinear Schrödinger model. Phys. Lett. B. 388:1996;621-625.
    • (1996) Phys. Lett. B , vol.388 , pp. 621-625
    • Min, H.1    Park, Q.-H.2
  • 21
    • 0016972663 scopus 로고
    • Modified nonlinear Schrödinger equation for Alfv'en waves propagating along the magnetic field in cold plasma
    • Mio K., Ogino T., Minamy K., Takeda S. Modified nonlinear Schrödinger equation for Alfv'en waves propagating along the magnetic field in cold plasma. J. Phys. Soc. Japan. 41:1976;265-273.
    • (1976) J. Phys. Soc. Japan , vol.41 , pp. 265-273
    • Mio, K.1    Ogino, T.2    Minamy, K.3    Takeda, S.4
  • 22
    • 0017216310 scopus 로고
    • On the modulational instability of hydromagnetic waves parallel to the magnetic field
    • Mjolhus E. On the modulational instability of hydromagnetic waves parallel to the magnetic field. J. Plasma Phys. 16:1976;321-334.
    • (1976) J. Plasma Phys. , vol.16 , pp. 321-334
    • Mjolhus, E.1
  • 24
    • 0003001402 scopus 로고    scopus 로고
    • On the nonlinear Schrödinger equations of derivative type
    • Ozawa T. On the nonlinear Schrödinger equations of derivative type. Indiana Univ. Math. J. 45:1996;137-163.
    • (1996) Indiana Univ. Math. J. , vol.45 , pp. 137-163
    • Ozawa, T.1
  • 25
  • 28
    • 0000014949 scopus 로고
    • The nonlinear Schrödinger limit of the Zakharov equations governing Langmuir turbulence
    • Schochet H., Weinstein M. The nonlinear Schrödinger limit of the Zakharov equations governing Langmuir turbulence. Comm. Math. Phys. 106:1986;569-580.
    • (1986) Comm. Math. Phys. , vol.106 , pp. 569-580
    • Schochet, H.1    Weinstein, M.2
  • 29


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.