Appearance and disappearance of non-symmetric progressive capillary–gravity waves of deep water-Reference-Cited by-同舟云学术

Appearance and disappearance of non-symmetric progressive capillary–gravity waves of deep water

Published:2012-03-08 Issue:2 Volume:29 Page:331-353
ISSN:0916-7005
Container-title:Japan Journal of Industrial and Applied Mathematics
language:en
Short-container-title:Japan J. Indust. Appl. Math.

Author:

Shimizu Chika,Shōji Mayumi

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Engineering

Link

http://link.springer.com/content/pdf/10.1007/s13160-012-0070-4.pdf

Reference11 articles.

1. Crapper G.D.: An exact solution for progressive capillary waves of arbitrary amplitude. J. Fluid Mech. 2, 532–540 (1957)

2. Garabedian P.R.: Surface waves of finite depth. J. d’Anal. Math. 14, 161–169 (1965)

3. Keller, H.B.: Lectures on Numerical Methods in Bifurcation Theory. Tata Institute of Fundamental Research No. 79. Springer, Berlin (1987)

4. Levi-Civita T.: Détermination rigoroureuse de ondes permanentes d’ampleur finie. Math. Ann. 93, 264–314 (1925)

5. Okamoto H., Shōji M.: Nonexistence of bifurcation from Crapper’s pure capillary waves. Res. Inst. Math. Sci. Kokyuroku Kyoto Univ. 745, 21–38 (1991)

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