Self-channelling of surface water waves in the presence of an additional surface pressure

European Journal of Mechanics, B/Fluids

Volumn 18, Issue 3, 1999, Pages 501-510

  Il'ichev, A ^a  

^a STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION; FLOW OF WATER; ICE; MATHEMATICAL MODELS; SURFACE TENSION; SURFACE WAVES;

KADOMTSEV-PETVIASHVILI (KP) EQUATION; LONG PERIODIC WATER WAVES;

WATER WAVES;

EID: 0033130894     PISSN: 09977546     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0997-7546(99)80045-4     Document Type: Article

References (12)

1. Benjamin T.B., 1982, The solitary wave with surface tension, Q. Appl. Maths, 40, 231-234
2. Grimshaw R., Malomed B., Benilov E., 1994, Solitary wave with damped oscillatory tails: An analysis of the fifth order Korteweg-de Vries equation, Physica D 77, 473-485
3. Forbes L.K., 1986, Surface waves of large amplitude beneath an elastic sheet. Part 1. High order series solution, J. Fluid Mech. 188, 409-428
4. Hǎrǎguş, M., Kirchgässner K., 1995, Breaking the dimension of a steady wave: Some examples. In Nonlinear Dynamics and Pattern Formation in the Natural Environment, A. Doelman, A. van Harten eds., Pitman Research Notes In Mathematics Series 335, 119-129
5. Hǎrǎguş-Courcelle M., Il'ichev A., 1998, Three-dimensional solitary waves in the presence of additional surface effects, Eur. J. Mech. B/Fluids 17, 739-768
6. Il'ichev A., Kirchgässner K., 1998, Nonlinear water waves beneath an elastic ice sheet, Universität Stuttgart, Bericht 98/19, SFB 404: Mehhrfeldprobleme in der Kontinuumsmechanik
7. Iooss G., Kirchgässner K., 1990, Bifurcation d'ondes solitaires en présence d'une faible tension superficielle, C.R. Acad. Sci. Paris 311, 265-268
8. Iooss G., Kirchgässner K., 1992, Water waves for small surface tension: An approach via normal form, Proc. Roy. Soc. Edinburgh 122A, 267-299
9. Karpman V.I., 1975, Nonlinear Waves in Dispersive Media, Pergamon Press
10. Müller A., Ettema B., 1984, Dynamic response of an icebreaker hull to ice breaking. In Proc. IAHR Ice Symp., Hamburg, II, 287-296
11. Squire V.A., 1984, On the critical angle for ocean waves entering shore fast ice, Cold. Reg. Sci. Tech., 10, 59-68
12. Vanderbauwhede A., Iooss G., 1992, Center manifold theory in infinite dimensions, Dynamics Reported, 1, New Series, 125-163