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Volumn 33, Issue 4, 2003, Pages 863-884

Nonlinear four-wave interactions and freak waves

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; GRAVITY WAVES; MONTE CARLO METHODS; PROBABILITY DISTRIBUTIONS;

EID: 0141749366     PISSN: 00223670     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0485(2003)33<863:NFIAFW>2.0.CO;2     Document Type: Article
Times cited : (739)

References (45)
  • 1
    • 0018030648 scopus 로고
    • The effects of randomness on the stability of two-dimensional surface wave trains
    • Alber, I. E., 1978: The effects of randomness on the stability of two-dimensional surface wave trains. Proc. Roy. Soc. London, A363, 525-546.
    • (1978) Proc. Roy. Soc. London , vol.363 A , pp. 525-546
    • Alber, I.E.1
  • 3
    • 84974336691 scopus 로고
    • The disintegration of wavetrains on deep water. Part 1: Theory
    • Benjamin, T. B., and J. E. Feir, 1967: The disintegration of wavetrains on deep water. Part 1: Theory. J. Fluid Mech., 27, 417-430.
    • (1967) J. Fluid Mech. , vol.27 , pp. 417-430
    • Benjamin, T.B.1    Feir, J.E.2
  • 4
    • 85163143647 scopus 로고
    • The propagation of nonlinear wave envelopes
    • Benney, D., and A. C. Newell, 1967: The propagation of nonlinear wave envelopes. J. Math. Phys., 46, 133-139.
    • (1967) J. Math. Phys. , vol.46 , pp. 133-139
    • Benney, D.1    Newell, A.C.2
  • 5
    • 0000592171 scopus 로고
    • Instability and confined chaos in a nonlinear dispersive wave system
    • Caponi, E. A., P. G. Saffman, and H. C. Yuen, 1982: Instability and confined chaos in a nonlinear dispersive wave system. Phys. Fluids. 25, 2159-2166.
    • (1982) Phys. Fluids. , vol.25 , pp. 2159-2166
    • Caponi, E.A.1    Saffman, P.G.2    Yuen, H.C.3
  • 6
    • 0016897986 scopus 로고
    • Some properties of deep water solitons
    • Cohen, B. I., K. M. Watson, and B. J. West, 1976: Some properties of deep water solitons. Phys. Fluids, 19, 345-350.
    • (1976) Phys. Fluids , vol.19 , pp. 345-350
    • Cohen, B.I.1    Watson, K.M.2    West, B.J.3
  • 7
    • 0001924685 scopus 로고
    • Evolution of a random inhomogeneous field of nonlinear-deep-water gravity waves
    • Crawford, D. R., P. G. Saffman, and H. C. Yuen, 1980: Evolution of a random inhomogeneous field of nonlinear-deep-water gravity waves. Wave Motion, 2, 1-16.
    • (1980) Wave Motion , vol.2 , pp. 1-16
    • Crawford, D.R.1    Saffman, P.G.2    Yuen, H.C.3
  • 8
    • 0019548713 scopus 로고
    • Stability of weakly nonlinear deep-water waves in two and three dimensions
    • Crawford, D. R., B. M. Lake, P. G. Saffman, and H. C. Yuen, 1981: Stability of weakly nonlinear deep-water waves in two and three dimensions. J. Fluid Mech., 105, 177-191.
    • (1981) J. Fluid Mech. , vol.105 , pp. 177-191
    • Crawford, D.R.1    Lake, B.M.2    Saffman, P.G.3    Yuen, H.C.4
  • 9
    • 84971769232 scopus 로고
    • The propagation of a weak nonlinear wave
    • Davey, A., 1972: The propagation of a weak nonlinear wave. J. Fluid Mech., 53, 769-781.
    • (1972) J. Fluid Mech. , vol.53 , pp. 769-781
    • Davey, A.1
  • 11
    • 0025158659 scopus 로고
    • Freak waves: A possible explanation
    • A. Torum and O. T. Gudmestad, Eds., Kluwer
    • Dean, R. G., 1990: Freak waves: A possible explanation. Water Wave Kinematics, A. Torum and O. T. Gudmestad, Eds., Kluwer, 609-612.
    • (1990) Water Wave Kinematics , pp. 609-612
    • Dean, R.G.1
  • 12
    • 0141847593 scopus 로고
    • "Freak" Ocean waves
    • Draper, L., 1965: "Freak" ocean waves. Mar. Obs., 35, 193-195.
    • (1965) Mar. Obs. , vol.35 , pp. 193-195
    • Draper, L.1
  • 13
    • 0000492467 scopus 로고
    • Note on a modification to the nonlinear Schrödinger equation for application to deep water waves
    • Dysthe, K. B., 1979: Note on a modification to the nonlinear Schrödinger equation for application to deep water waves. Proc. Roy. Soc. London, A369, 105-114.
    • (1979) Proc. Roy. Soc. London , vol.369 A , pp. 105-114
    • Dysthe, K.B.1
  • 14
    • 0000547485 scopus 로고
    • Nonlinear modulation of gravity waves
    • Hasimoto, H., and H. Ono, 1972: Nonlinear modulation of gravity waves. J. Phys. Soc. Japan, 33, 805-811
    • (1972) J. Phys. Soc. Japan , vol.33 , pp. 805-811
    • Hasimoto, H.1    Ono, H.2
  • 15
    • 2342508836 scopus 로고
    • On the non-linear energy transfer in a gravity-wave spectrum. Part 1: General theory
    • Hasselmann, K., 1962: On the non-linear energy transfer in a gravity-wave spectrum. Part 1: General theory. J. Fluid Mech., 12, 481.
    • (1962) J. Fluid Mech. , vol.12 , pp. 481
    • Hasselmann, K.1
  • 16
    • 0002355066 scopus 로고
    • Measurements of wind-wave growth and swell decay during the Joint North Sea Wave Project (JONSWAP)
    • and Coauthors, 95 pp
    • Hasselmann, K., and Coauthors, 1973: Measurements of wind-wave growth and swell decay during the Joint North Sea Wave Project (JONSWAP). Dtsch. Hydrogr. Z. Suppl., 8A (12), 95 pp.
    • (1973) Dtsch. Hydrogr. Z. , vol.8 A , Issue.12 SUPPL.
    • Hasselmann, K.1
  • 17
    • 0020542093 scopus 로고
    • On a fourth-order envelope equation for deep-water waves
    • Janssen, P. A. E. M., 1983a: On a fourth-order envelope equation for deep-water waves. J. Fluid Mech., 126, 1-11.
    • (1983) J. Fluid Mech. , vol.126 , pp. 1-11
    • Janssen, P.A.E.M.1
  • 18
    • 0020616156 scopus 로고
    • Long-time behaviour of a random inhomogeneous field of weakly nonlinear surface gravity waves
    • Janssen, P. A. E. M., 1983b: Long-time behaviour of a random inhomogeneous field of weakly nonlinear surface gravity waves. J. Fluid Mech., 133, 113-132.
    • (1983) J. Fluid Mech. , vol.133 , pp. 113-132
    • Janssen, P.A.E.M.1
  • 19
    • 0141624267 scopus 로고
    • On nonlinear wave groups and consequences for spectral evolution
    • R. C. Beal, Ed., The Johns Hopkins University Press
    • Janssen, P. A. E. M., 1991: On nonlinear wave groups and consequences for spectral evolution. Directional Ocean Wave Spectra, R. C. Beal, Ed., The Johns Hopkins University Press, 46-52.
    • (1991) Directional Ocean Wave Spectra , pp. 46-52
    • Janssen, P.A.E.M.1
  • 20
    • 0141512982 scopus 로고
    • Modification of the surface elevation probability distribution in ocean swell by nonlinear spectral broadening
    • Janssen, P. A. E. M., and G. J. Komen, 1982: Modification of the surface elevation probability distribution in ocean swell by nonlinear spectral broadening. J. Geophys. Res., 87, 4155-4162.
    • (1982) J. Geophys. Res. , vol.87 , pp. 4155-4162
    • Janssen, P.A.E.M.1    Komen, G.J.2
  • 22
    • 0001664661 scopus 로고
    • Canonical transformation in a theory of weakly non-linear waves with a nondecay dispersion law
    • Krasitskii, V. P., 1990: Canonical transformation in a theory of weakly non-linear waves with a nondecay dispersion law. Sov. Phys. JETP, 71, 921-927.
    • (1990) Sov. Phys. JETP , vol.71 , pp. 921-927
    • Krasitskii, V.P.1
  • 23
    • 0027709098 scopus 로고
    • Four-wave reduced equations for surface gravity waves
    • Krasitskii, V. P., and V. A. Kalmykov, 1993: Four-wave reduced equations for surface gravity waves. Izv. Atmos. Phys., 29, 222-228.
    • (1993) Izv. Atmos. Phys. , vol.29 , pp. 222-228
    • Krasitskii, V.P.1    Kalmykov, V.A.2
  • 24
    • 0017551345 scopus 로고
    • Nonlinear deep-water waves: Theory and experiment. Part 2: Evolution of a continuous wave train
    • Lake, B. M., H. C. Yuen, H. Rungaldier, and W. E. Ferguson, 1977: Nonlinear deep-water waves: Theory and experiment. Part 2: Evolution of a continuous wave train. J. Fluid Mech., 83, 49-74.
    • (1977) J. Fluid Mech. , vol.83 , pp. 49-74
    • Lake, B.M.1    Yuen, H.C.2    Rungaldier, H.3    Ferguson, W.E.4
  • 25
    • 0031760115 scopus 로고    scopus 로고
    • The wave energy concentration at the Agulhas Current of South Africa
    • Lavrenov, L., 1998: The wave energy concentration at the Agulhas Current of South Africa. Nat. Haz., 17, 117.
    • (1998) Nat. Haz. , vol.17 , pp. 117
    • Lavrenov, L.1
  • 26
    • 0017862380 scopus 로고
    • The instabilities of gravity waves of finite amplitude in deep-water. II. Subharmonics
    • Longuet-Higgins, M. S., 1978: The instabilities of gravity waves of finite amplitude in deep-water. II. Subharmonics. Proc. Roy. Soc. London, A360, 489-505.
    • (1978) Proc. Roy. Soc. London , vol.360 A , pp. 489-505
    • Longuet-Higgins, M.S.1
  • 27
    • 35748946897 scopus 로고
    • Quasi-recurring energy leakage in the two-space-dimensional nonlinear Schrödinger equation
    • Martin, D. U., and H. C. Yuen, 1980: Quasi-recurring energy leakage in the two-space-dimensional nonlinear Schrödinger equation. Phys. Fluids, 23, 881-883.
    • (1980) Phys. Fluids , vol.23 , pp. 881-883
    • Martin, D.U.1    Yuen, H.C.2
  • 28
    • 0037023585 scopus 로고    scopus 로고
    • Effects of high-order nonlinear interactions on unidirectional wave trains
    • Mori, N., and T. Yasuda, 2002a: Effects of high-order nonlinear interactions on unidirectional wave trains. Ocean Eng., 29, 1233-1245.
    • (2002) Ocean Eng. , vol.29 , pp. 1233-1245
    • Mori, N.1    Yasuda, T.2
  • 29
    • 0037023564 scopus 로고    scopus 로고
    • A weakly non-gaussian model of wave distribution for random wave train
    • Mori, N., and T. Yasuda, 2002b: A weakly non-gaussian model of wave distribution for random wave train. Ocean Eng., 29, 1219-1231.
    • (2002) Ocean Eng. , vol.29 , pp. 1219-1231
    • Mori, N.1    Yasuda, T.2
  • 30
    • 0141736113 scopus 로고    scopus 로고
    • Occurrence of freak waves from envelope equations in random ocean wave simulations
    • M. Olagnon and G. A. Athanassoulis. Eds., Springer-Verlag
    • Onorato, M., A. R. Osborne, M. Serio, and T. Damiani, 2000: Occurrence of freak waves from envelope equations in random ocean wave simulations. Rogue Waves 2000, M. Olagnon and G. A. Athanassoulis. Eds., Springer-Verlag, 181-191.
    • (2000) Rogue Waves 2000 , pp. 181-191
    • Onorato, M.1    Osborne, A.R.2    Serio, M.3    Damiani, T.4
  • 32
    • 0034706493 scopus 로고    scopus 로고
    • The nonlinear dynamics of rogue waves and holes in deep water gravity wave trains
    • Osborne, A. R., M. Onorato, and M. Serio, 2000: The nonlinear dynamics of rogue waves and holes in deep water gravity wave trains. Phys. Lett., 275A, 386-393.
    • (2000) Phys. Lett. , vol.275 A , pp. 386-393
    • Osborne, A.R.1    Onorato, M.2    Serio, M.3
  • 33
    • 0000459927 scopus 로고
    • Propagation of wave packets and space-time self-focussing in a nonlinear medium
    • Ostrowskii, L. A., 1967: Propagation of wave packets and space-time self-focussing in a nonlinear medium. Sov. Phys. JETP, 24, 797-800.
    • (1967) Sov. Phys. JETP , vol.24 , pp. 797-800
    • Ostrowskii, L.A.1
  • 34
    • 0000339396 scopus 로고
    • On the theory of oscillatory waves
    • Stokes, G. G., 1847: On the theory of oscillatory waves. Math. Phys. Pap., 1, 197-229.
    • (1847) Math. Phys. Pap. , vol.1 , pp. 197-229
    • Stokes, G.G.1
  • 35
    • 0141736112 scopus 로고
    • The role of modulational instability in the formation of wave groups
    • M. L. Banner and R. H. J. Grimshaw, Eds., Springer Verlag
    • Tanaka, M., 1992: The role of modulational instability in the formation of wave groups. Breaking Waves, M. L. Banner and R. H. J. Grimshaw, Eds., Springer Verlag, 237-242.
    • (1992) Breaking Waves , pp. 237-242
    • Tanaka, M.1
  • 36
    • 0002610950 scopus 로고    scopus 로고
    • Freak waves-a three-dimensional wave simulation
    • E. P. Rood, Ed., National Academy Press
    • Trulsen, K., and K. Dysthe, 1997: Freak waves-a three-dimensional wave simulation. Proceedings of the 21st Symposium on Naval Hydrodynamics, E. P. Rood, Ed., National Academy Press, 550-558.
    • (1997) Proceedings of the 21st Symposium on Naval Hydrodynamics , pp. 550-558
    • Trulsen, K.1    Dysthe, K.2
  • 37
    • 0021221306 scopus 로고
    • Numerical simulation of a random sea: A common error and its effect upon wave group statistics
    • Tucker, M. J., P. G. Challenor, and D. J. T. Carter, 1984: Numerical simulation of a random sea: A common error and its effect upon wave group statistics. Appl. Ocean Res., 6, 118-122.
    • (1984) Appl. Ocean Res. , vol.6 , pp. 118-122
    • Tucker, M.J.1    Challenor, P.G.2    Carter, D.J.T.3
  • 38
    • 33745014742 scopus 로고
    • On the quantum correction for thermodynamic equilibrium
    • Wigner, E., 1932: On the quantum correction for thermodynamic equilibrium. Phys. Rev., 40, 749-759.
    • (1932) Phys. Rev. , vol.40 , pp. 749-759
    • Wigner, E.1
  • 39
    • 0001189370 scopus 로고    scopus 로고
    • Long- and short-term extreme wave statistics in the North Sea: 1994-1998
    • M. Olagnon and G. A. Anthanassoulis, Eds., Springer-Verlag
    • Wolfram, J., B. Linfoot, and P. Stansell. 2000: Long- and short-term extreme wave statistics in the North Sea: 1994-1998. Rogue Waves 2000, M. Olagnon and G. A. Anthanassoulis, Eds., Springer-Verlag, 341-347.
    • (2000) Rogue Waves 2000 , pp. 341-347
    • Wolfram, J.1    Linfoot, B.2    Stansell, P.3
  • 40
    • 36749107241 scopus 로고
    • Relationship between Benjamin-Feir instability and recurrence in the nonlinear Schrödinger equation
    • Yuen, H. C., and W. E. Ferguson, 1978: Relationship between Benjamin-Feir instability and recurrence in the nonlinear Schrödinger equation. Phys. Fluids, 21, 1275-1278.
    • (1978) Phys. Fluids , vol.21 , pp. 1275-1278
    • Yuen, H.C.1    Ferguson, W.E.2
  • 41
    • 0019898426 scopus 로고
    • Nonlinear dynamics of deep water gravity waves
    • Yuen, H. C., and B. M. Lake, 1982: Nonlinear dynamics of deep water gravity waves. Adv. Appl. Mech.. 22, 67-229.
    • (1982) Adv. Appl. Mech. , vol.22 , pp. 67-229
    • Yuen, H.C.1    Lake, B.M.2
  • 42
    • 34250447917 scopus 로고
    • Stability of periodic waves of finite amplitude on the surface of a deep fluid
    • Zakharov, V. E., 1968: Stability of periodic waves of finite amplitude on the surface of a deep fluid. J. Appl. Mech. Tech. Phys., 9, 190-194.
    • (1968) J. Appl. Mech. Tech. Phys. , vol.9 , pp. 190-194
    • Zakharov, V.E.1
  • 43
    • 0001285634 scopus 로고
    • The energy spectrum for random surface waves
    • Zakharov, V. E., and N. N. Filonenko, 1968: The energy spectrum for random surface waves. Dokl. Acad. Sci. USSR, 170, 1291-1295.
    • (1968) Dokl. Acad. Sci. USSR , vol.170 , pp. 1291-1295
    • Zakharov, V.E.1    Filonenko, N.N.2
  • 44
    • 0002557939 scopus 로고
    • Exact theory of two-dimensional self-focussing and one-dimensional self-modulating waves in nonlinear media
    • English translation
    • Zakharov, V. E., and A. B. Shabat, 1972: Exact theory of two-dimensional self-focussing and one-dimensional self-modulating waves in nonlinear media (English translation). Sov. Phys. JETP. 34, 62.
    • (1972) Sov. Phys. JETP. , vol.34 , pp. 62
    • Zakharov, V.E.1    Shabat, A.B.2
  • 45
    • 0001651076 scopus 로고
    • Instability of waveguides and solitons in nonlinear media
    • English translation
    • Zakharov, V. E., and A. M. Rubenchik, 1974: Instability of waveguides and solitons in nonlinear media (English translation). Sov. Phys. JETP, 38, 494.
    • (1974) Sov. Phys. JETP , vol.38 , pp. 494
    • Zakharov, V.E.1    Rubenchik, A.M.2


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