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Volumn 565, Issue , 2006, Pages 419-439

Secondary criticality of water waves. Part 2. Unsteadiness and the Benjamin-Feir instability from the viewpoint of hydraulics

Author keywords

[No Author keywords available]

Indexed keywords

FLOW OF WATER; HYDRAULICS; UNSTEADY FLOW;

EID: 33749333194     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112006001881     Document Type: Article
Times cited : (2)

References (24)
  • 1
    • 0002883263 scopus 로고
    • Instability of periodic wavetrains in nonlinear dispersive systems
    • Benjamin, T. B. 1967 Instability of periodic wavetrains in nonlinear dispersive systems. Proc. R. Soc. Lond. A 299, 59-75.
    • (1967) Proc. R. Soc. Lond. A , vol.299 , pp. 59-75
    • Benjamin, T.B.1
  • 2
    • 0021201971 scopus 로고
    • Impulse, flow force and variational principles
    • Benjamin, T. B. 1984 Impulse, flow force and variational principles. IMA J. Appl. Maths 32, 3-68.
    • (1984) IMA J. Appl. Maths , vol.32 , pp. 3-68
    • Benjamin, T.B.1
  • 3
    • 0030513031 scopus 로고    scopus 로고
    • Periodic patterns, linear instability, symplectic structure and mean-flow dynamics for three-dimensional surface waves
    • Bridges, T. J. 1996 Periodic patterns, linear instability, symplectic structure and mean-flow dynamics for three-dimensional surface waves. Phil. Trans. R. Soc. Lond. A 354, 533-74.
    • (1996) Phil. Trans. R. Soc. Lond. A , vol.354 , pp. 533-574
    • Bridges, T.J.1
  • 4
    • 0042137401 scopus 로고    scopus 로고
    • Multi-symplectic structures and wave propagation
    • Bridges, T. J. 1997 Multi-symplectic structures and wave propagation. Math. Proc. Camb. Phil. Soc. 121, 147-190.
    • (1997) Math. Proc. Camb. Phil. Soc. , vol.121 , pp. 147-190
    • Bridges, T.J.1
  • 5
    • 33749334719 scopus 로고    scopus 로고
    • On the susceptibility of bright NLS solitons to long-wave transverse instability
    • Bridges, T. J. 2004 On the susceptibility of bright NLS solitons to long-wave transverse instability. Proc. R. Soc. Lond. A 460, 2515-2605.
    • (2004) Proc. R. Soc. Lond. A , vol.460 , pp. 2515-2605
    • Bridges, T.J.1
  • 6
    • 31144434181 scopus 로고    scopus 로고
    • Steady dark solitary waves emerging from wave-generated meanflow: The role of modulation equations
    • Bridges, T. J. 2005 Steady dark solitary waves emerging from wave-generated meanflow: The role of modulation equations. Chaos 15, 037113.
    • (2005) Chaos , vol.15 , pp. 037113
    • Bridges, T.J.1
  • 7
    • 33749353307 scopus 로고    scopus 로고
    • Secondary criticality of water waves. Part 1. Definition bifurcation and solitary waves
    • Bridges, T. J. & Donaldson, N. M. 2006 Secondary criticality of water waves. Part 1. Definition bifurcation and solitary waves. J. Fluid Mech. 565, 381-417.
    • (2006) J. Fluid Mech. , vol.565 , pp. 381-417
    • Bridges, T.J.1    Donaldson, N.M.2
  • 8
    • 0012945442 scopus 로고
    • A proof of the Benjamin-Feir instability
    • Bridges, T. J. & Mielke, A. 1995 A proof of the Benjamin-Feir instability. Arch. Rat. Mech. Anal. 133, 145-198.
    • (1995) Arch. Rat. Mech. Anal. , vol.133 , pp. 145-198
    • Bridges, T.J.1    Mielke, A.2
  • 9
    • 0347570724 scopus 로고
    • Oblique instabilities of periodic waves in shallow water
    • Bryant, P. J. 1978 Oblique instabilities of periodic waves in shallow water. J. Fluid Mech. 86, 783-792.
    • (1978) J. Fluid Mech. , vol.86 , pp. 783-792
    • Bryant, P.J.1
  • 11
    • 0017901962 scopus 로고
    • A numerical and theoretical study of certain nonlinear wave phenomena
    • Fornberg, B. & Whitham, G. B. 1978 A numerical and theoretical study of certain nonlinear wave phenomena. Phil. Trans. R. Soc. Lond. A 289, 373-404.
    • (1978) Phil. Trans. R. Soc. Lond. A , vol.289 , pp. 373-404
    • Fornberg, B.1    Whitham, G.B.2
  • 12
    • 0042283568 scopus 로고    scopus 로고
    • On the disappearance of the lowest-order instability for steep gravity waves in finite depth
    • Francius, M. & Kharif, C. 2003 On the disappearance of the lowest-order instability for steep gravity waves in finite depth. Phys. Fluids 15, 2445-2448.
    • (2003) Phys. Fluids , vol.15 , pp. 2445-2448
    • Francius, M.1    Kharif, C.2
  • 13
    • 0000547485 scopus 로고
    • Nonlinear modulations of gravity waves
    • Hashimoto, H. & Ono, H. 1972 Nonlinear modulations of gravity waves. J. Phys. Soc. Japan 33, 805-811.
    • (1972) J. Phys. Soc. Japan , vol.33 , pp. 805-811
    • Hashimoto, H.1    Ono, H.2
  • 14
    • 0042946355 scopus 로고
    • Group velocity and nonlinear dispersive wave propagation
    • Hayes, W. D. 1973 Group velocity and nonlinear dispersive wave propagation. Proc. R. Soc. Lond. A 332, 199-221.
    • (1973) Proc. R. Soc. Lond. A , vol.332 , pp. 199-221
    • Hayes, W.D.1
  • 16
    • 0019898122 scopus 로고
    • Instabilities of finite-amplitude gravity waves on water of finite depth
    • McLean, J. W. 1982 Instabilities of finite-amplitude gravity waves on water of finite depth. J. Fluid Mech. 114, 331-341.
    • (1982) J. Fluid Mech. , vol.114 , pp. 331-341
    • McLean, J.W.1
  • 18
    • 0001951716 scopus 로고
    • Water waves, nonlinear Schrödinger equations and their solutions
    • Peregrine, D. H. 1983 Water waves, nonlinear Schrödinger equations and their solutions. J. Austral. Math. Soc. B 25, 16-43.
    • (1983) J. Austral. Math. Soc. B , vol.25 , pp. 16-43
    • Peregrine, D.H.1
  • 19
    • 21744447179 scopus 로고    scopus 로고
    • The modulational instability of Stokes waves on the surface of finite-depth fluid
    • Sedletsky, Yu. V. 2005 The modulational instability of Stokes waves on the surface of finite-depth fluid. Phys. Lett. A 343, 293-299.
    • (2005) Phys. Lett. A , vol.343 , pp. 293-299
    • Sedletsky, Yu.V.1
  • 20
    • 0020507509 scopus 로고
    • Some new gravity waves in water of finite depth
    • Vandenbroeck, J.-M. 1983 Some new gravity waves in water of finite depth. Phys Fluids 26, 2385-2387.
    • (1983) Phys Fluids , vol.26 , pp. 2385-2387
    • Vandenbroeck, J.-M.1
  • 21
    • 84974269863 scopus 로고
    • Nonlinear dispersion of water-waves
    • Whitham, G. B. 1967 Nonlinear dispersion of water-waves. J. Fluid Mech. 27, 399-412.
    • (1967) J. Fluid Mech. , vol.27 , pp. 399-412
    • Whitham, G.B.1
  • 23
    • 0009058332 scopus 로고
    • Nonlinear deep water waves: Theory and experiment
    • Yuen, H. C. & Lake, B. M. 1975 Nonlinear deep water waves: Theory and experiment. Phys. Fluids 18, 956-960.
    • (1975) Phys. Fluids , vol.18 , pp. 956-960
    • Yuen, H.C.1    Lake, B.M.2
  • 24
    • 0023384235 scopus 로고
    • Weakly nonlinear non-symmetric gravity waves on water of finite depth
    • Zufiria, J. A. 1987 Weakly nonlinear non-symmetric gravity waves on water of finite depth. J. Fluid Mech. 180, 371-385.
    • (1987) J. Fluid Mech. , vol.180 , pp. 371-385
    • Zufiria, J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.