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Volumn 43, Issue 43, 2010, Pages

Asymptotic expansions for solitary gravity-capillary waves in two and three dimensions

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EID: 78649643872     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/43/43/434005     Document Type: Article
Times cited : (5)

References (33)
  • 2
    • 70349412016 scopus 로고    scopus 로고
    • Asymptotic expansions for solitary gravity-capillary waves in two and three dimensions
    • Ablowitz M J and Haut T S 2009 Asymptotic expansions for solitary gravity-capillary waves in two and three dimensions Proc. R. Soc. A 465 2725-49
    • (2009) Proc. R. Soc. A , vol.465 , pp. 2725-2749
    • Ablowitz, M.J.1    Haut, T.S.2
  • 3
    • 0027009798 scopus 로고
    • Solitary internal waves with oscillatory tails
    • Akylas T R and Grimshaw R H J 1992 Solitary internal waves with oscillatory tails J. Fluid Mech. 242 279-98
    • (1992) J. Fluid Mech. , vol.242 , pp. 279-298
    • Akylas, T.R.1    Grimshaw, R.H.J.2
  • 4
    • 0000166670 scopus 로고
    • On the stokes' conjecture for the wave of extreme form
    • Amick C J, Fraenkel L E and Toland J F 1982 On the stokes' conjecture for the wave of extreme form Acta. Math. 148 193
    • (1982) Acta. Math. , vol.148 , pp. 193
    • Amick, C.J.1    Fraenkel, L.E.2    Toland, J.F.3
  • 6
    • 70349412257 scopus 로고
    • Exact solitary water waves with capillary ripples at infinity
    • Beale J T 1991 Exact solitary water waves with capillary ripples at infinity Eur. J. Appl. Math. 2 133-59
    • (1991) Eur. J. Appl. Math. , vol.2 , pp. 133-159
    • Beale, J.T.1
  • 7
    • 0029656885 scopus 로고    scopus 로고
    • A plethora of solitary gravity-capillary water waves with nearly critical Bond and Froude numbers
    • Buffoni B, Groves M D and Toland J F 1996 A plethora of solitary gravity-capillary water waves with nearly critical Bond and Froude numbers Phil. Trans. R. Soc. Lond. A 354 557-607
    • (1996) Phil. Trans. R. Soc. Lond. A , vol.354 , pp. 557-607
    • Buffoni, B.1    Groves, M.D.2    Toland, J.F.3
  • 8
    • 0000514133 scopus 로고
    • Capillary-gravity solitary waves with damped oscillations
    • Dias F and Iooss G 1993 Capillary-gravity solitary waves with damped oscillations Physica D 65 339
    • (1993) Physica D , vol.65 , pp. 339
    • Dias, F.1    Iooss, G.2
  • 9
    • 84952511862 scopus 로고
    • A ninth-order solution for the solitary wave
    • Fenton J 1972 A ninth-order solution for the solitary wave J. Fluid Mech. 53 257-71
    • (1972) J. Fluid Mech. , vol.53 , pp. 257-271
    • Fenton, J.1
  • 10
    • 84971195530 scopus 로고
    • On the existence theory for irrotational water waves
    • Keady G G and Norbury J 1978 On the existence theory for irrotational water waves Math. Proc. Camb. Phil. Soc. 83 137
    • (1978) Math. Proc. Camb. Phil. Soc. , vol.83 , pp. 137
    • Keady, G.G.1    Norbury, J.2
  • 11
    • 0031375381 scopus 로고    scopus 로고
    • On variational formulations for steady water waves
    • Groves M D and Toland J F 1997 On variational formulations for steady water waves Arch. Ration. Mech. Anal. 137 203-26
    • (1997) Arch. Ration. Mech. Anal. , vol.137 , pp. 203-226
    • Groves, M.D.1    Toland, J.F.2
  • 13
    • 84974189060 scopus 로고
    • Solitary and periodic gravity-capillary waves of finite amplitude
    • Hunter J K and Vanden Broeck J M 1983 Solitary and periodic gravity-capillary waves of finite amplitude J. Fluid Mech. 134 205-19
    • (1983) J. Fluid Mech. , vol.134 , pp. 205-219
    • Hunter, J.K.1    Van Den Broeck, J.M.2
  • 14
    • 0000594292 scopus 로고
    • Bifurcation dondes solitaires en presence dune faible tension superficielle
    • Iooss G and Kirchgassner K 1990 Bifurcation dondes solitaires en presence dune faible tension superficielle C. R. Acad. Sci. Paris, Ser. 1 311 256-68
    • (1990) C. R. Acad. Sci. Paris, Ser. 1 , vol.311 , pp. 256-268
    • Iooss, G.1    Kirchgassner, K.2
  • 15
    • 0001933877 scopus 로고
    • Water waves for small surface tension: An approach via normal form
    • Iooss G and Kirchgassner K 1992 Water waves for small surface tension: an approach via normal form Proc. R. Soc. Edin. A 122 267-99
    • (1992) Proc. R. Soc. Edin. A , vol.122 , pp. 267-299
    • Iooss, G.1    Kirchgassner, K.2
  • 16
    • 0001933877 scopus 로고
    • Water waves for small surface tension: An approach via normal form
    • Iooss G and Kirchgassner K 1992 Water waves for small surface tension: an approach via normal form Proc. R. Soc. Edinburgh A 122 267-99
    • (1992) Proc. R. Soc. Edinburgh A , vol.122 , pp. 267-299
    • Iooss, G.1    Kirchgassner, K.2
  • 17
    • 70349434204 scopus 로고
    • Wave solutions of reversible systems and applications
    • Kirchgassner K 1988 Wave solutions of reversible systems and applications J. Func. Anal. 77 1-8
    • (1988) J. Func. Anal. , vol.77 , pp. 1-8
    • Kirchgassner, K.1
  • 18
    • 50549157324 scopus 로고
    • On the theory of steady-state waves of large amplitude
    • Krasovskii Y P 1961 On the theory of steady-state waves of large amplitude USSR Comp. Math. and Math. Phys. 1 996
    • (1961) USSR Comp. Math. and Math. Phys. , vol.1 , pp. 996
    • Krasovskii, Y.P.1
  • 19
    • 0039769081 scopus 로고
    • The solitary wave of maximum amplitude
    • Lenau C W 1966 The solitary wave of maximum amplitude J. Fluid Mech. 26 309
    • (1966) J. Fluid Mech. , vol.26 , pp. 309
    • Lenau, C.W.1
  • 20
    • 0001638694 scopus 로고
    • On the mass, momentum, energy, and circulation of a solitary wave
    • Longuet-Higgins M S and Fenton J 1974 On the mass, momentum, energy, and circulation of a solitary wave Proc. R. Soc. A 340 471
    • (1974) Proc. R. Soc. A , vol.340 , pp. 471
    • Longuet-Higgins, M.S.1    Fenton, J.2
  • 21
    • 0040558218 scopus 로고
    • Solvability of the problem of spatial gravitational waves on the surface of an ideal fluid
    • Plotnikov P I 1980 Solvability of the problem of spatial gravitational waves on the surface of an ideal fluid Sov. Phys. Dokl. 25 170-1
    • (1980) Sov. Phys. Dokl , vol.25 , pp. 170-171
    • Plotnikov, P.I.1
  • 22
    • 0036487479 scopus 로고
    • A proof of the Stokes conjecture in the theory of surface waves
    • Plotnikov P I 1982 A proof of the Stokes conjecture in the theory of surface waves Sov. Phys. Dokl. 108 217-44
    • (1982) Sov. Phys. Dokl , vol.108 , pp. 217-244
    • Plotnikov, P.I.1
  • 24
    • 0001772087 scopus 로고
    • On the existence of small amplitude waves with strong surface tension
    • Sachs R 1991 On the existence of small amplitude waves with strong surface tension J. Diff. Eqns. 90 31-51
    • (1991) J. Diff. Eqns , vol.90 , pp. 31-51
    • Sachs, R.1
  • 25
    • 0000339396 scopus 로고
    • Considerations relative to the greatest height of oscillatory irrotational waves which can be propagated without change of form
    • Stokes G G 1880 Considerations relative to the greatest height of oscillatory irrotational waves which can be propagated without change of form Math. Phys. Pap. 1 225
    • (1880) Math. Phys. Pap , vol.1 , pp. 225
    • Stokes, G.G.1
  • 26
    • 0000648116 scopus 로고
    • Existence of a generalized solitary wave with positive Bond number less than 1/3
    • Sun S M 1991 Existence of a generalized solitary wave with positive Bond number less than 1/3 J. Math. Anal. Appl. 156 471-504
    • (1991) J. Math. Anal. Appl. , vol.156 , pp. 471-504
    • Sun, S.M.1
  • 27
    • 0001612930 scopus 로고    scopus 로고
    • Non-existence of truly solitary waves in water with small surface tension
    • Sun S M 1999 Non-existence of truly solitary waves in water with small surface tension Proc. R. Soc. 455 2191-228
    • (1999) Proc. R. Soc. , vol.455 , pp. 2191-2228
    • Sun, S.M.1
  • 28
    • 0000606083 scopus 로고
    • Exponentially small estimate for the amplitude of capillary ripples of a generalized solitary wave
    • Sun S M and Shen M C 1993 Exponentially small estimate for the amplitude of capillary ripples of a generalized solitary wave J. Math. Anal. Appl. 172 533-66
    • (1993) J. Math. Anal. Appl. , vol.172 , pp. 533-566
    • Sun, S.M.1    Shen, M.C.2
  • 29
    • 0022520121 scopus 로고
    • The stability of solitary waves
    • Tanaka M 1986 The stability of solitary waves Phys. Fluids 29 650
    • (1986) Phys. Fluids , vol.29 , pp. 650
    • Tanaka, M.1
  • 31
    • 0027009702 scopus 로고
    • Gravity-capillary solitary waves in water of infinite depth and related free surface flows
    • Vanden Broeck J M and Dias F 1992 Gravity-capillary solitary waves in water of infinite depth and related free surface flows J. Fluid Mech. 240 549
    • (1992) J. Fluid Mech. , vol.240 , pp. 549
    • Van Den Broeck, J.M.1    Dias, F.2
  • 33
    • 0009808478 scopus 로고
    • On the highest solitary wave
    • Kyushu Univ
    • Yamada H 1957 On the highest solitary wave Rep. Res. Inst. Appl. Mech., Kyushu Univ. 5 53
    • (1957) Rep. Res. Inst. Appl. Mech. , vol.5 , pp. 53
    • Yamada, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.