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Volumn 216, Issue 2, 2005, Pages 354-386

Justification and failure of the nonlinear Schrödinger equation in case of non-trivial quadratic resonances

Author keywords

Approximation; NLS equation; Validity

Indexed keywords


EID: 24144491340     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jde.2005.04.018     Document Type: Article
Times cited : (47)

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    • Kalyakin, L.A.1
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    • The validity of modulation equations for extended systems with cubic nonlinearities
    • P. Kirrmann G. Schneider A. Mielke The validity of modulation equations for extended systems with cubic nonlinearities Proc. Roy. Soc. Edinburgh 122A 1992 85-91
    • (1992) Proc. Roy. Soc. Edinburgh , vol.122 A , pp. 85-91
    • Kirrmann, P.1    Schneider, G.2    Mielke, A.3
  • 5
    • 84985386714 scopus 로고
    • Validity and limitation of the Newell-Whitehead equation
    • G. Schneider Validity and limitation of the Newell-Whitehead equation Math. Nachr. 176 1995 249-263
    • (1995) Math. Nachr. , vol.176 , pp. 249-263
    • Schneider, G.1
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    • 0039500618 scopus 로고    scopus 로고
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    • G. Schneider Approximation of the Korteweg-de Vries equation by the Nonlinear Schrödinger equation J. Differential Equations 147 1998 333-354
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    • Schneider, G.1
  • 7
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    • Justification of modulation equations for hyperbolic systems via normal forms
    • G. Schneider Justification of modulation equations for hyperbolic systems via normal forms Nonlinear Differential Equations Appl. (NODEA) 5 1998 69-82
    • (1998) Nonlinear Differential Equations Appl. (NODEA) , vol.5 , pp. 69-82
    • Schneider, G.1
  • 8
    • 0035504546 scopus 로고    scopus 로고
    • Nonlinear coupled mode dynamics in hyperbolic and parabolic periodically structured spatially extended systems
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    • Schneider, G.1    Uecker, H.2
  • 9
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    • Normal forms and quadratic nonlinear Klein-Gordon equations
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    • (1985) Comm. Pure Appl. Math. , vol.38 , pp. 685-696
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  • 10
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    • Zakharov, V.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.