메뉴 건너뛰기




Volumn 366, Issue 1876, 2008, Pages 2761-2774

On the stability of lumps and wave collapse in water waves

Author keywords

Fifth order Kadomtsev Petviashvili equation; Lumps; Water waves; Wave collapse

Indexed keywords

EQUATIONS OF STATE; EXTRACTIVE METALLURGY; FARM BUILDINGS; GRAVITATION; GRAVITATIONAL EFFECTS; GROUND STATE; LINEAR EQUATIONS; NONLINEAR EQUATIONS; SURFACE CHEMISTRY; SURFACE TENSION; SYSTEM STABILITY; WATER WAVES; WAVE EQUATIONS; WAVE PACKETS;

EID: 46349087800     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2008.0047     Document Type: Conference Paper
Times cited : (23)

References (24)
  • 1
    • 0018480221 scopus 로고
    • On the evolution of packets of water waves
    • doi:10.1017/ S0022112079000835
    • Ablowitz, M. J. & Segur, H. 1979 On the evolution of packets of water waves. J. Fluid Mech. 92, 691-715. (doi:10.1017/ S0022112079000835)
    • (1979) J. Fluid Mech , vol.92 , pp. 691-715
    • Ablowitz, M.J.1    Segur, H.2
  • 2
    • 21644459325 scopus 로고    scopus 로고
    • Wave collapse in a class of nonlocal nonlinear Schrödinger equations
    • doi:10.1016/j.physd.2005.06.001
    • Ablowitz, M. J., Bakirtas, I. & Ilan, B. 2005 Wave collapse in a class of nonlocal nonlinear Schrödinger equations. Physica D 207, 230-253. (doi:10.1016/j.physd.2005.06.001)
    • (2005) Physica D , vol.207 , pp. 230-253
    • Ablowitz, M.J.1    Bakirtas, I.2    Ilan, B.3
  • 3
    • 0002411595 scopus 로고
    • Three-dimensional long water-wave phenomena
    • doi:10.1146/annurev.fl.26.010194. 001203
    • Akylas, T. R. 1994 Three-dimensional long water-wave phenomena. Annu. Rev. Fluid Mech. 26, 191-210. (doi:10.1146/annurev.fl.26.010194. 001203)
    • (1994) Annu. Rev. Fluid Mech , vol.26 , pp. 191-210
    • Akylas, T.R.1
  • 5
    • 0037050969 scopus 로고    scopus 로고
    • Stability of steep gravity-capillary solitary waves in deep water
    • doi:10.1017/S002211200100670X
    • Calvo, D. C. & Akylas, T. R. 2002 Stability of steep gravity-capillary solitary waves in deep water. J. Fluid Mech. 452, 123-143. (doi:10.1017/S002211200100670X)
    • (2002) J. Fluid Mech , vol.452 , pp. 123-143
    • Calvo, D.C.1    Akylas, T.R.2
  • 6
    • 0001002051 scopus 로고    scopus 로고
    • On the stability of solitary waves with decaying oscillatory tails
    • doi:10.1098/rspa.2000.0526
    • Calvo, D. C., Yang, T.-S. & Akylas, T. R. 2000 On the stability of solitary waves with decaying oscillatory tails. Proc. R. Soc. A 456, 469-487. (doi:10.1098/rspa.2000.0526)
    • (2000) Proc. R. Soc. A , vol.456 , pp. 469-487
    • Calvo, D.C.1    Yang, T.-S.2    Akylas, T.R.3
  • 7
    • 0000541374 scopus 로고
    • On three-dimensional packets of surface waves
    • doi:10.1098/rspa. 1974.0076
    • Davey, A. & Stewartson, K. 1974 On three-dimensional packets of surface waves. Proc. R. Soc. A 338, 101-110. (doi:10.1098/rspa. 1974.0076)
    • (1974) Proc. R. Soc. A , vol.338 , pp. 101-110
    • Davey, A.1    Stewartson, K.2
  • 8
    • 0033489572 scopus 로고    scopus 로고
    • Nonlinear gravity and capillary-gravity waves
    • doi:10.1146/annurev. fluid.31.1.301
    • Dias, F. & Kharif, C. 1999 Nonlinear gravity and capillary-gravity waves. Annu. Rev. Fluid Mech. 31, 301-346. (doi:10.1146/annurev. fluid.31.1.301)
    • (1999) Annu. Rev. Fluid Mech , vol.31 , pp. 301-346
    • Dias, F.1    Kharif, C.2
  • 9
    • 0017471194 scopus 로고
    • On two-dimensional packets of capillary-gravity waves
    • doi:10.1017/S0022112077000408
    • Djordjevic, V. D. & Redekopp, L. G. 1977 On two-dimensional packets of capillary-gravity waves. J. Fluid Mech. 79, 703-714. (doi:10.1017/S0022112077000408)
    • (1977) J. Fluid Mech , vol.79 , pp. 703-714
    • Djordjevic, V.D.1    Redekopp, L.G.2
  • 10
    • 46349100182 scopus 로고    scopus 로고
    • Envelope solitary waves
    • ed. R. H. J. Grimshaw, pp, Southhampton, UK: WIT Press
    • Grimshaw, R. H. J. 2007 Envelope solitary waves. In Solitary waves in fluids (ed. R. H. J. Grimshaw), pp. 159-179. Southhampton, UK: WIT Press.
    • (2007) Solitary waves in fluids , pp. 159-179
    • Grimshaw, R.H.J.1
  • 11
    • 26944466894 scopus 로고    scopus 로고
    • Fully localized solitary-wave solutions of the three-dimensional gravity-capillary water-wave problem
    • Preprint
    • Groves, M. D. & Sun, S. M. 2005 Fully localized solitary-wave solutions of the three-dimensional gravity-capillary water-wave problem. Preprint.
    • (2005)
    • Groves, M.D.1    Sun, S.M.2
  • 12
    • 23844436876 scopus 로고    scopus 로고
    • On gravity-capillary lumps
    • doi:10.1017/S0022112005005823
    • Kim, B. & Akylas, T. R. 2005 On gravity-capillary lumps. J. Fluid Mech. 540, 337-351. (doi:10.1017/S0022112005005823)
    • (2005) J. Fluid Mech , vol.540 , pp. 337-351
    • Kim, B.1    Akylas, T.R.2
  • 13
    • 33746055750 scopus 로고    scopus 로고
    • On gravity-capillary lumps. Part 2. Two-dimensional Benjamin equation
    • doi:10.1017/S0022112006009773
    • Kim, B. & Akylas, T. R. 2006 On gravity-capillary lumps. Part 2. Two-dimensional Benjamin equation. J. Fluid Mech. 557, 237-256. (doi:10.1017/S0022112006009773)
    • (2006) J. Fluid Mech , vol.557 , pp. 237-256
    • Kim, B.1    Akylas, T.R.2
  • 14
    • 34347389011 scopus 로고    scopus 로고
    • Transverse instability of gravity-capillary solitary waves
    • doi:10.1007/s10665-006-9122-6
    • Kim, B. & Akylas, T. R. 2007 Transverse instability of gravity-capillary solitary waves. J. Eng. Maths 58, 167-175. (doi:10.1007/s10665-006-9122-6)
    • (2007) J. Eng. Maths , vol.58 , pp. 167-175
    • Kim, B.1    Akylas, T.R.2
  • 15
    • 0024628191 scopus 로고
    • Capillary-gravity waves of solitary type on deep water
    • doi:10.1017/ S002211208900073X
    • Longuet-Higgins, M. S. 1989 Capillary-gravity waves of solitary type on deep water. J. Fluid Mech. 200, 451-470. (doi:10.1017/ S002211208900073X)
    • (1989) J. Fluid Mech , vol.200 , pp. 451-470
    • Longuet-Higgins, M.S.1
  • 16
    • 8744219710 scopus 로고    scopus 로고
    • Self-trapping of light in a two-dimensional photonic lattice
    • doi:10.1364/JOSAB.21.000973
    • Musslimani, Z. H. & Yang, J. 2004 Self-trapping of light in a two-dimensional photonic lattice. J. Opt. Soc. Am. B 21, 973-981. (doi:10.1364/JOSAB.21.000973)
    • (2004) J. Opt. Soc. Am. B , vol.21 , pp. 973-981
    • Musslimani, Z.H.1    Yang, J.2
  • 17
    • 0000002410 scopus 로고
    • The focusing singularity of the Davey-Stewartson equations for gravity-capillary surface waves
    • doi:10.1016/0167-2789(94) 90167-8
    • Papanicolaou, G. C., Sulem, G. C., Sulem, P. L. & Wang, X. P. 1994 The focusing singularity of the Davey-Stewartson equations for gravity-capillary surface waves. Physica D 72, 61-68. (doi:10.1016/0167-2789(94) 90167-8)
    • (1994) Physica D , vol.72 , pp. 61-68
    • Papanicolaou, G.C.1    Sulem, G.C.2    Sulem, P.L.3    Wang, X.P.4
  • 18
    • 23844553794 scopus 로고    scopus 로고
    • Nonlinear three-dimensional gravity-capillary solitary waves
    • doi:10.1017/S0022112005005136
    • Parau, E., Vanden-Broeck, J.-M. & Cooker, M. J. 2005 Nonlinear three-dimensional gravity-capillary solitary waves. J. Fluid Mech. 536, 99-105. (doi:10.1017/S0022112005005136)
    • (2005) J. Fluid Mech , vol.536 , pp. 99-105
    • Parau, E.1    Vanden-Broeck, J.-M.2    Cooker, M.J.3
  • 19
    • 35348859092 scopus 로고    scopus 로고
    • Three-dimensional capillary-gravity waves generated by a moving disturbance
    • doi:10.1063/1.2750293
    • Parau, E., Vanden-Broeck, J.-M. & Cooker, M. J. 2007 Three-dimensional capillary-gravity waves generated by a moving disturbance. Phys. Fluids 19, 082 102-082 107. (doi:10.1063/1.2750293)
    • (2007) Phys. Fluids , vol.19
    • Parau, E.1    Vanden-Broeck, J.-M.2    Cooker, M.J.3
  • 20
    • 23144468026 scopus 로고    scopus 로고
    • Towards a rigorous derivation of the fifth-order KP equation
    • doi:10.1016/j.matcom. 2005.03.012
    • Paumond, L. 2005 Towards a rigorous derivation of the fifth-order KP equation. Math. Comput. Simul. 69, 477-491. (doi:10.1016/j.matcom. 2005.03.012)
    • (2005) Math. Comput. Simul , vol.69 , pp. 477-491
    • Paumond, L.1
  • 21
    • 0031380252 scopus 로고    scopus 로고
    • Pelinovsky, D. & Grimshaw, R. H. J. 1997 Asymptotic methods in soliton stability theory. In Nonlinear instability analysis, 12 (eds L. Debnath & S. R. Choudhury) Advances in fluid mechanics Computational Mechanics Publications Southampton, UK; Billerica, MA 245 312
    • Pelinovsky, D. & Grimshaw, R. H. J. 1997 Asymptotic methods in soliton stability theory. In Nonlinear instability analysis, vol. 12 (eds L. Debnath & S. R. Choudhury) Advances in fluid mechanics Computational Mechanics Publications Southampton, UK; Billerica, MA 245 312
  • 22
    • 84974073932 scopus 로고
    • On the nonlinear mechanics of wave disturbances in stable and unstable parallel flows. Part 1. The basic behaviour in plane Poiseuille flow
    • doi:10.1017/ S002211206000116X
    • Stuart, J. T. 1960 On the nonlinear mechanics of wave disturbances in stable and unstable parallel flows. Part 1. The basic behaviour in plane Poiseuille flow. J. Fluid Mech. 9, 353-370. (doi:10.1017/ S002211206000116X)
    • (1960) J. Fluid Mech , vol.9 , pp. 353-370
    • Stuart, J.T.1
  • 23
    • 0027009702 scopus 로고
    • Gravity-capillary solitary waves in water of infinite depth and related free-surface flows
    • doi:10.1017/S0022112092000193
    • Vanden-Broeck, J.-M. & Dias, F. 1992 Gravity-capillary solitary waves in water of infinite depth and related free-surface flows. J. Fluid Mech. 240, 549-557. (doi:10.1017/S0022112092000193)
    • (1992) J. Fluid Mech , vol.240 , pp. 549-557
    • Vanden-Broeck, J.-M.1    Dias, F.2
  • 24
    • 0029508785 scopus 로고
    • Capillary-gravity and capillary waves generated in a wind-wave tank: Observations and theories
    • doi:10.1017/S0022112095001236
    • Zhang, X. 1995 Capillary-gravity and capillary waves generated in a wind-wave tank: observations and theories. J. Fluid Mech. 289, 51-82. (doi:10.1017/S0022112095001236)
    • (1995) J. Fluid Mech , vol.289 , pp. 51-82
    • Zhang, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.