Steepness and spectrum of nonlinear deformed shallow water wave

Ocean Engineering

Volumn 35, Issue 1, 2008, Pages 47-52

  Zahibo, Narcisse ^a   Didenkulova, Irina ^b,c   Kurkin, Andrey ^b   Pelinovsky, Efim ^b,c  

^a University of Antilles Guyane   (Guadeloupe)

^b NIZHNY NOVGOROD STATE TECHNICAL UNIVERSITY N A R E ALEKSEEV   (Russian Federation)

^c INSTITUTE OF APPLIED PHYSICS   (Russian Federation)

Author keywords

Fourier spectrum; Nonlinear deformation; Shallow water theory; Steepness; Wave breaking

Indexed keywords

BATHYMETRY; DEFORMATION; ESTIMATION; FOURIER ANALYSIS;

FOURIER SPECTRUM; SHALLOW WATER WAVE; WAVE FRONT STEEPNESS;

WATER WAVES;

BATHYMETRY; DEFORMATION; ESTIMATION; FOURIER ANALYSIS; WATER WAVES;

DEFORMATION; ESTIMATION METHOD; FOURIER TRANSFORM; NONLINEAR WAVE; SHALLOW WATER; SPECTRAL ANALYSIS; WAVE BREAKING;

EID: 36349009206     PISSN: 00298018     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.oceaneng.2007.07.001     Document Type: Article

References (18)

1. Arseniev A.C., and Shelkovnikov N.K. Dynamics of Sea Long Waves (1991), Moscow State University Press, Moscow (in Russian)
2. Caputo J.-G., and Stepanyants Y.A. Bore formation, evolution and disintegration into solitons in shallow inhomogeneous channels. Nonlinear Processes in Geophysics 10 (2003) 407-424
3. Engelbrecht J.K., Fridman V.E., and Pelinovski E.N. Nonlinear Evolution Equations, (Pitman Research Notes in Mathematics Series, No. 180) (1988), Longman, London
4. Gurbatov S., Malakhov A., and Saichev A. Nonlinear Random Waves and Turbulence in Nondispersive Media: Waves, Rays and Particles (1991), Manchester University Press, Manchester
5. Hammack J.L. A note on tsunamis: their generation and propagation in an ocean of uniform depth. Journal of Fluid Mechanics 60 (1973) 769-799
6. Murty, T., 1977. Seismic sea waves-Tsunamis. Canada.
7. Ostrovsky L., and Pelinovsky E. Nonlinear evolution of tsunami waves. Bulletin of the Royal Society of New Zealand 15 (1976) 203-211
8. Pelinovsky E.N. Spectral analysis of simple waves. Radiophysics and Quantum Electronics 19 3 (1976) 262-270
9. Pelinovsky E.N. Nonlinear Dynamics of Tsunami Waves (1982), Applied Physical Institute Press, Gorky (in Russian)
10. Pelinovsky E.N., and Troshina E.N. Propagation of long waves in straits. Physics of Oceanography 5 1 (1994) 43-48
11. Rudenko O., and Soluyan S. Theoretical Background of Nonlinear Acoustics (1977), Plenum, New York
12. Stoker J.J. Water Waves (1957), Wiley-Interscience, New York
13. Tan W.Y. Shallow Water Hydrodynamics (1992), Elsevier, New York
14. Tsuji Y., Yanuma T., Murata I., and Fujiwara C. Tsunami ascending in rivers as an undular bore. Natural Hazards 4 (1991) 257-266
15. Voltsinger N.E., Klevanny K.A., and Pelinovsky E.N. Long Wave Dynamics of the Coastal Zone (1989), Hydrometeoisdat, Leningrad (in Russian)
16. Whitham G.B. Linear and Nonlinear Waves (1974), Wiley, New York
17. Wu Y.H., and Tian J.-W. Mathematical analysis of long-wave breaking on open channels with bottom friction. Ocean Engineering 26 (2000) 187-201
18. Zahibo N., Pelinovsky E., Talipova T., Kozelkov A., and Kurkin A. Analytical and numerical study of nonlinear effects at tsunami modelling. Applied Mathematics and Computation 174 (2006) 795-809