Limits for the Korteweg-de Vries-approximation

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 76, Issue SUPPL. 2, 1996, Pages 341-344

  Schneider, G ^a  

^a LEIBNIZ UNIVERSITY HANNOVER   (Germany)

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[No Author keywords available]

Indexed keywords

EID: 21444446720     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

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3. W. CRAIG, C. SULEM, P.L. SULEM.: Nonlinear modulation of gravity waves: A region approach. Nonlinearity 5 (1992), 497-522.
4. L.A. KALYAKIN.: Long wave asymptotics, integrable equations as asymptotic limits of non-linear systems. Russian Math. Surveys 44(1) (1989), 3-42.
5. T. KANO, T. NISHIDA.: A mathematical justification for Korteweg-de Vries equation and Boussinesq equation of water surface waves. Osaka J. Math 23 (1986), 389-413.
6. P. KIRRMANN, G. SCHNEIDER, A. MIELKE.: The validity of modulation equations for extended systems with cubic non-linearities. Proc. Royal Society Edinburgh 122A (1992), 85-91.
7. L.V. OVSJANNIKOV.: Cauchy problem in a scale of Banach spaces and its application to the shallow water wave theory justification. Lect. Not. in Math. 503, Springer (1976), 416-437.
8. G. SCHNEIDER.: Error estimates for the Ginzburg-Landau approximation. J. Appl. Math. Physics (ZAMP) 45 (1994), 433-457.
9. G. SCHNEIDER.: Justification of modulation equations for hyperbolic systems via normal forms. IfAM-Preprint Universität Hannover 1994.
10. G. SCHNEIDER.: The long wave limit for a Boussinesq equation. IfAM-Preprint Universität Hannover 1995.
11. A. VAN HARTEN.: On the validity of Ginzburg-Landau's equation. J. Nonlinear Science 1 (1991), 397-422.