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Volumn 58, Issue 12, 2005, Pages 1587-1641

Hamiltonian long-wave expansions for free surfaces and interfaces

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EID: 30544433668     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/cpa.20098     Document Type: Review
Times cited : (229)

References (30)
  • 1
    • 0008528564 scopus 로고    scopus 로고
    • Hamiltonian formulation for surface waves in a layered fluid
    • Ambrosi, D. Hamiltonian formulation for surface waves in a layered fluid. Wave Motion 31 (2000), no. 1, 71-76.
    • (2000) Wave Motion , vol.31 , Issue.1 , pp. 71-76
    • Ambrosi, D.1
  • 2
    • 0001768199 scopus 로고
    • The Sulu Sea internal soliton experiment
    • Apel, J. R.; Holbrook, J. R.; Liu, A. K.; Tsai, J. J. The Sulu Sea internal soliton experiment. J. Phys. Oceanogr. 15 (1985), no. 12, 1625-1631.
    • (1985) J. Phys. Oceanogr , vol.15 , Issue.12 , pp. 1625-1631
    • Apel, J.R.1    Holbrook, J.R.2    Liu, A.K.3    Tsai, J.J.4
  • 3
    • 30244457984 scopus 로고
    • Internal waves of finite amplitude and permanent form
    • Benjamin, T. B. Internal waves of finite amplitude and permanent form. J. Fluid Mech. 25 (1966), 241-270.
    • (1966) J. Fluid Mech. , vol.25 , pp. 241-270
    • Benjamin, T.B.1
  • 4
    • 84902775564 scopus 로고
    • Internal waves of permanent form of great depth
    • Benjamin, T. B. Internal waves of permanent form of great depth. J. Fluid Mech. 29 (1967), 559-592.
    • (1967) J. Fluid Mech. , vol.29 , pp. 559-592
    • Benjamin, T.B.1
  • 5
    • 0031079899 scopus 로고    scopus 로고
    • Reappraisal of the Kelvin-Helmholtz problem. I. Hamiltonian structure
    • Benjamin, T. B.; Bridges, T. J. Reappraisal of the Kelvin-Helmholtz problem. I. Hamiltonian structure. J. Fluid Mech. 333 (1997), 301-325.
    • (1997) J. Fluid Mech. , vol.333 , pp. 301-325
    • Benjamin, T.B.1    Bridges, T.J.2
  • 6
    • 0030127047 scopus 로고    scopus 로고
    • Weakly nonlinear internal waves in a two-fluid system
    • Choi, W.; Camassa, R. Weakly nonlinear internal waves in a two-fluid system. J. Fluid Mech. 313 (1996), 83-103.
    • (1996) J. Fluid Mech. , vol.313 , pp. 83-103
    • Choi, W.1    Camassa, R.2
  • 7
    • 0002988577 scopus 로고    scopus 로고
    • Fully nonlinear internal waves in a two-fluid system
    • Choi, W.; Camassa, R. Fully nonlinear internal waves in a two-fluid system. J. Fluid Mech. 396 (1999), 1-36.
    • (1999) J. Fluid Mech. , vol.396 , pp. 1-36
    • Choi, W.1    Camassa, R.2
  • 8
    • 0002592298 scopus 로고
    • Nonlinear harmonic analysis and analytic dependence
    • Proceedings of Symposia in Pure Mathematics. American Mathematical Society, Providence, R.I.
    • Coifman, R.; Meyer, Y. Nonlinear harmonic analysis and analytic dependence. Pseudodifferential operators and applications (Notre Dame, 1984), 71-78. Proceedings of Symposia in Pure Mathematics, 43. American Mathematical Society, Providence, R.I., 1985.
    • (1985) Pseudodifferential Operators and Applications (Notre Dame, 1984) , vol.43 , pp. 71-78
    • Coifman, R.1    Meyer, Y.2
  • 9
    • 0028443419 scopus 로고
    • Hamiltonian long-wave approximations to the water-wave problem
    • Craig, W.; Groves, M. Hamiltonian long-wave approximations to the water-wave problem. Wave Motion 19 (1994), no. 4, 367-389.
    • (1994) Wave Motion , vol.19 , Issue.4 , pp. 367-389
    • Craig, W.1    Groves, M.2
  • 10
    • 0008530828 scopus 로고    scopus 로고
    • Normal forms for waves in fluid interfaces
    • Craig, W.; Groves, M. Normal forms for waves in fluid interfaces. Wave Motion 31 (2000), no. 1, 21-41.
    • (2000) Wave Motion , vol.31 , Issue.1 , pp. 21-41
    • Craig, W.1    Groves, M.2
  • 11
    • 2542609863 scopus 로고    scopus 로고
    • A new model for large amplitude long internal waves
    • Craig, W.; Guyenne, P.; Kalisch, H. A new model for large amplitude long internal waves. C. R. Mecanique 332 (2004), 525-530.
    • (2004) C. R. Mecanique , vol.332 , pp. 525-530
    • Craig, W.1    Guyenne, P.2    Kalisch, H.3
  • 13
    • 2442514149 scopus 로고    scopus 로고
    • Traveling gravity water waves in two and three dimensions
    • Craig, W.; Nicholls, D. P. Traveling gravity water waves in two and three dimensions. Eur. J. Mech. B Fluids 21 (2002), no. 6, 615-641.
    • (2002) Eur. J. Mech. B Fluids , vol.21 , Issue.6 , pp. 615-641
    • Craig, W.1    Nicholls, D.P.2
  • 14
    • 0001654990 scopus 로고    scopus 로고
    • The modulational regime of three-dimensional water waves and the Davey-Stewartson system
    • Craig, W.; Schanz, U.; Sulem, C. The modulational regime of three-dimensional water waves and the Davey-Stewartson system. Ann. Inst. H. Poincaré Anal. Non Linéaire 14 (1997), no. 5, 615-667.
    • (1997) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.14 , Issue.5 , pp. 615-667
    • Craig, W.1    Schanz, U.2    Sulem, C.3
  • 15
    • 0002686768 scopus 로고
    • Numerical simulation of gravity waves
    • Craig, W.; Sulem, C. Numerical simulation of gravity waves. J. Comput. Phys. 108 (1993), no. 1, 73-83.
    • (1993) J. Comput. Phys. , vol.108 , Issue.1 , pp. 73-83
    • Craig, W.1    Sulem, C.2
  • 16
    • 0345319297 scopus 로고
    • Internal waves of tidal origin. Part I. Theory and analysis of observations
    • Fjeldstad, J. E. Internal waves of tidal origin. Part I. Theory and analysis of observations. Geof. Publ. 25 (1964), no. 5.
    • (1964) Geof. Publ. , vol.25 , Issue.5
    • Fjeldstad, J.E.1
  • 17
    • 0020768597 scopus 로고
    • Weak and strong interactions between internal solitary waves
    • Gear, J.; Grimshaw, R. Weak and strong interactions between internal solitary waves. Stud. Appl. Math. 70 (1984), no. 3, 235-258.
    • (1984) Stud. Appl. Math. , vol.70 , Issue.3 , pp. 235-258
    • Gear, J.1    Grimshaw, R.2
  • 19
    • 36149038276 scopus 로고
    • Solitary waves in a fluid of finite depth
    • Joseph, R. Solitary waves in a fluid of finite depth. J. Phys. A 10 (1977), no. 12, 225-227.
    • (1977) J. Phys. A , vol.10 , Issue.12 , pp. 225-227
    • Joseph, R.1
  • 20
    • 0001148419 scopus 로고
    • A higher-order wave equation and the method for solving it
    • Kaup, D. J. A higher-order wave equation and the method for solving it. Prog. Theor. Phys. 54 (1975), no. 2, 396-408.
    • (1975) Prog. Theor. Phys. , vol.54 , Issue.2 , pp. 396-408
    • Kaup, D.J.1
  • 21
    • 77952762814 scopus 로고
    • Oscillatory solitary waves in dispersive media
    • Kawahara, T. Oscillatory solitary waves in dispersive media. J. Phys. Soc. Japan 33 (1972), no. 1, 260-264.
    • (1972) J. Phys. Soc. Japan , vol.33 , Issue.1 , pp. 260-264
    • Kawahara, T.1
  • 22
    • 0018019964 scopus 로고
    • Weakly nonlinear internal gravity waves in stratified fluids of finite depth
    • Kubota, T.; Ko, D. R. S.; Dobbs, L. D. Weakly nonlinear internal gravity waves in stratified fluids of finite depth. J. Hydronautics 12 (1978), 157-165.
    • (1978) J. Hydronautics , vol.12 , pp. 157-165
    • Kubota, T.1    Ko, D.R.S.2    Dobbs, L.D.3
  • 23
    • 0004168443 scopus 로고
    • Cambridge University Press, Cambridge
    • Lamb, H. Hydrodynamics. 6th ed. Cambridge University Press, Cambridge, 1932.
    • (1932) Hydrodynamics. 6th Ed.
    • Lamb, H.1
  • 24
    • 21144480361 scopus 로고
    • A unified theory of nonlinear wave propagation in two-layer fluid systems
    • Matsuno, Y. A unified theory of nonlinear wave propagation in two-layer fluid systems. J. Phys. Soc. Japan 62 (1993), no. 6, 1902-1916.
    • (1993) J. Phys. Soc. Japan , vol.62 , Issue.6 , pp. 1902-1916
    • Matsuno, Y.1
  • 25
    • 0000462631 scopus 로고
    • Hamiltonian perturbation theory and water waves
    • Contemporary Mathematics. American Mathematical Society, Providence, R.I.
    • Olver, P. Hamiltonian perturbation theory and water waves. Fluids and plasmas: geometry and dynamics (Boulder, Colo., 1983), 231-249. Contemporary Mathematics, 28. American Mathematical Society, Providence, R.I., 1984.
    • (1984) Fluids and Plasmas: Geometry and Dynamics (Boulder, Colo., 1983) , vol.28 , pp. 231-249
    • Olver, P.1
  • 26
    • 0016459710 scopus 로고
    • Algebraic solitary waves in stratified fluids
    • Ono, H. Algebraic solitary waves in stratified fluids. J. Phys. Soc. Japan 39 (1975), no. 4, 1082-1091.
    • (1975) J. Phys. Soc. Japan , vol.39 , Issue.4 , pp. 1082-1091
    • Ono, H.1
  • 27
    • 0242286622 scopus 로고    scopus 로고
    • Evolution equations for strongly nonlinear internal waves
    • Ostrovsky, L. A.; Grue, J. Evolution equations for strongly nonlinear internal waves. Phys. Fluids 15 (2003), no. 10, 2934-2948.
    • (2003) Phys. Fluids , vol.15 , Issue.10 , pp. 2934-2948
    • Ostrovsky, L.A.1    Grue, J.2
  • 28
    • 84980083934 scopus 로고
    • Solitary waves in liquids having non-constant density
    • Peters, A. D.; Stoker, J. J. Solitary waves in liquids having non-constant density. Comm. Pure Appl. Math. 13 (1960), 115-164.
    • (1960) Comm. Pure Appl. Math. , vol.13 , pp. 115-164
    • Peters, A.D.1    Stoker, J.J.2
  • 29
    • 0020125330 scopus 로고
    • Soliton models of long internal waves
    • Segur, H.; Hammack, J. L. Soliton models of long internal waves. J. Fluid Mech. 118 (1982), 285-304.
    • (1982) J. Fluid Mech. , vol.118 , pp. 285-304
    • Segur, H.1    Hammack, J.L.2
  • 30
    • 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. 9 (1968), 190-194.
    • (1968) J. Appl. Mech. Tech. Phys. , vol.9 , pp. 190-194
    • Zakharov, V.E.1


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