Tsunamis and barge canals

Journal of Mathematical Fluid Mechanics

Volumn 9, Issue 2, 2007, Pages 226-234

  Sattinger, D H ^a  

^a YALE UNIVERSITY   (United States)

Author keywords

Bifurcation; Korteweg de Vries equation; Solitary wave

Indexed keywords

BIFURCATION (MATHEMATICS); MATHEMATICAL MODELS; OCEAN CURRENTS; TSUNAMIS;

ENERGY DENSITY; KORTEWEG - DE VRIES EQUATION;

SOLITONS;

BIFURCATION (MATHEMATICS); MATHEMATICAL MODELS; OCEAN CURRENTS; SOLITONS; TSUNAMIS;

BARGE; BIFURCATION; DEEP WATER; OCEANIC CURRENT; SOLITARY WAVE; TSUNAMI; VELOCITY PROFILE; WAVE ENERGY; WAVE MODELING; WAVE VELOCITY;

EID: 34250219589     PISSN: 14226928     EISSN: 14226952     Source Type: Journal    
DOI: 10.1007/s00021-005-0196-0     Document Type: Article

References (13)

1. M. H. BAZIN and M. H. DARCY, Recherches hydrauliques, deuxième partie, Imprimerie Impériale, P. III-XV (1865), 1-153.
2. M. J. BOUSSINESQ, Théorie des ondes et des remous qui se propagent le long d'un canal rectangulaire horizontal, en communiquant au liquide contenu dans ce canal des vitesses sensiblement pareilles de la surface au fond, J. Math. Pure. Appl. 17 (1872), 55-108.
3. R. K. BULLOUGH, "The Wave" "Par Excellence": An Early History of the Solitary Wave, in: Solitons: Introduction and Applications, Springer Series in Nonlinear Dynamics, Heidelberg, 1988.
4. K. O. FRIEDRICHS and D. H. HYERS, The existence of solitary waves, Comm. Pure Appl. Math. 7 (1954), 517-550.
5. K. KIRCHGÄSSNER, Nonlinearly resonant surface waves and homoclinic bifurcation, Advances in Applied Mechanics 26 (1989), 135-181.
6. D. J. KORTEWEG and G. DEVRIES, On the change of form of long waves advancing in a rectangular channel, and on a new type of long stationary waves, London, Dublin and Edinburgh Philosophical Magazine 39 (1895), Series 5.
7. T. LEVI-CIVITA, Détermination rigoureuse des ondes permanentes d'ampleur finie, Math. Ann. 93 (1925), 264-314.
8. J. W. S. RAYLEIGH, On Waves, London, Dublin and Edinburgh, Philosophical Magazine 1 (1876), Series 5.
9. J. SCOTT RUSSELL, Report on waves, in: John Murray (ed.), Report on the Fourteenth Meeting, 311-390+57 plates, British Association for the Advancement of Science, London, 1844.
10. J. J. STOKER, Water Waves, Wiley Interscience, New York, 1957.
11. A. WEINSTEIN, Sur la vitesse de propagation de l'onde solitaire, Reale Academia dei Lincei, Rendiconti, Classe di scienze fisiche, matematische, naturali 3, Series 6a.
12. G. B. WHITHAM, Linear and Nonlinear Waves, John Wiley & Sons, New York, 1973.
13. V. E. ZAKHAROV, Stability of periodic waves of finite amplitude on the surface of a deep fluid, J. Appl. Mech. Tech. Phys. 2 (1968), 190-194.