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Volumn 74, Issue 2-3, 2007, Pages 135-144

Stable three-dimensional waves of nearly permanent form on deep water

Author keywords

Stability water waves, Two dimensional patterns, Nonlinear Schr dinger equations, Dissipation, Benjamin Feir instability, Modulational instability

Indexed keywords

COMPUTER SIMULATION; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PATTERN RECOGNITION; PERTURBATION TECHNIQUES; SURFACE WAVES;

EID: 33846914485     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2006.10.032     Document Type: Article
Times cited : (9)

References (15)
  • 1
    • 84974336691 scopus 로고
    • The disintegration of wavetrains in deep water, Part 1
    • Benjamin T.B., and Feir J.E. The disintegration of wavetrains in deep water, Part 1. J. Fluid Mech. 27 (1967) 417-430
    • (1967) J. Fluid Mech. , vol.27 , pp. 417-430
    • Benjamin, T.B.1    Feir, J.E.2
  • 2
    • 0034550889 scopus 로고    scopus 로고
    • Travelling two and three dimensional capillary gravity water waves
    • Craig W., and Nicholls D.P. Travelling two and three dimensional capillary gravity water waves. SIAM: Math. Anal. 32 (2000) 323-359
    • (2000) SIAM: Math. Anal. , vol.32 , pp. 323-359
    • Craig, W.1    Nicholls, D.P.2
  • 3
    • 0000492467 scopus 로고
    • Note on a modification to the nonlinear Schrödinger equation for application to deep water waves
    • Dysthe K. Note on a modification to the nonlinear Schrödinger equation for application to deep water waves. Proc. Roy. Soc. A 369 (1979) 105-114
    • (1979) Proc. Roy. Soc. A , vol.369 , pp. 105-114
    • Dysthe, K.1
  • 4
    • 21344448402 scopus 로고    scopus 로고
    • Progressive waves with persistent, two-dimensional surface patterns in deep water
    • Hammack J.L., Henderson D.M., and Segur H. Progressive waves with persistent, two-dimensional surface patterns in deep water. J. Fluid Mech. 532 (2005) 1-51
    • (2005) J. Fluid Mech. , vol.532 , pp. 1-51
    • Hammack, J.L.1    Henderson, D.M.2    Segur, H.3
  • 6
    • 0018291170 scopus 로고
    • Third-order approximation to short-crested waves
    • Hsu J.R., Tsuchiya Y., and Sylvester R. Third-order approximation to short-crested waves. J. Fluid Mech. 90 (1979) 179-196
    • (1979) J. Fluid Mech. , vol.90 , pp. 179-196
    • Hsu, J.R.1    Tsuchiya, Y.2    Sylvester, R.3
  • 7
    • 0033189638 scopus 로고    scopus 로고
    • On short-crested waves: experimental and analytical investigations
    • Kimmoun O., Branger H., and Kharif C. On short-crested waves: experimental and analytical investigations. Euro. J. Mech. B/Fluids 18 (1999) 889-930
    • (1999) Euro. J. Mech. B/Fluids , vol.18 , pp. 889-930
    • Kimmoun, O.1    Branger, H.2    Kharif, C.3
  • 8
    • 0017551345 scopus 로고
    • Nonlinear deep-water waves: theory and experiment. Part 2. Evolution of a continuous wave train
    • Lake B.M., Yuen H.C., Rungaldier H., and Ferguson W.E. Nonlinear deep-water waves: theory and experiment. Part 2. Evolution of a continuous wave train. J. Fluid Mech. 83 (1977) 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
  • 9
    • 77958408489 scopus 로고
    • Contribution to the theory of waves in nonlinear dispersive systems"
    • Lighthill M.J. Contribution to the theory of waves in nonlinear dispersive systems". J. Inst. Math.Appl 1 (1965) 269-306
    • (1965) J. Inst. Math.Appl , vol.1 , pp. 269-306
    • Lighthill, M.J.1
  • 10
    • 0021786962 scopus 로고
    • A numerical study of water-wave modulations based on a higher-order nonlinear Schrödinger equation
    • Lo E., and Mei C.C. A numerical study of water-wave modulations based on a higher-order nonlinear Schrödinger equation. J. Fluid Mech. 150 (1986) 395-416
    • (1986) J. Fluid Mech. , vol.150 , pp. 395-416
    • Lo, E.1    Mei, C.C.2
  • 11
    • 0000459927 scopus 로고
    • Propagation of wave packets and space-time self-focussing in a nonlinear medium
    • Ostrovsky L.A. Propagation of wave packets and space-time self-focussing in a nonlinear medium. Sov. Phys. JETP 24 (1985) 797-800
    • (1985) Sov. Phys. JETP , vol.24 , pp. 797-800
    • Ostrovsky, L.A.1
  • 12
    • 0020829873 scopus 로고
    • Highly nonlinear short-crested water waves
    • Roberts A.J. Highly nonlinear short-crested water waves. J. Fluid Mech. 135 (1983) 301-321
    • (1983) J. Fluid Mech. , vol.135 , pp. 301-321
    • Roberts, A.J.1
  • 14
    • 0009672956 scopus 로고
    • Instability of self-focusing of light
    • Zakharov V.E. Instability of self-focusing of light. Sov. Phys. JETP 24 (1967) 455-459
    • (1967) Sov. Phys. JETP , vol.24 , pp. 455-459
    • Zakharov, V.E.1
  • 15
    • 34250447917 scopus 로고
    • Stability of periodic waves of finite amplitude on the surface of a deep fluid
    • Zakharov V.E. Stability of periodic waves of finite amplitude on the surface of a deep fluid. J. Appl. Mech. Tech. Phys. 2 (1968) 190-194
    • (1968) J. Appl. Mech. Tech. Phys. , vol.2 , pp. 190-194
    • Zakharov, V.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.