메뉴 건너뛰기




Volumn 123, Issue 1-4, 1998, Pages 36-47

Long wave interaction over varying topography

Author keywords

Interaction; Kadomtsev Petviashvili; Korteweg de Vries; Nonlinear waves; Topography

Indexed keywords


EID: 0038184845     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(98)00110-9     Document Type: Article
Times cited : (16)

References (21)
  • 1
    • 0014838172 scopus 로고
    • The evolution of multi-phase modes for nonlinear dispersive waves
    • M.J. Ablowitz, D.J. Benney, The evolution of multi-phase modes for nonlinear dispersive waves, Stud. Appl. Math. 49 (1970) 225-238.
    • (1970) Stud. Appl. Math. , vol.49 , pp. 225-238
    • Ablowitz, M.J.1    Benney, D.J.2
  • 2
    • 85163152910 scopus 로고
    • Interactions of permanent waves of finite amplitude
    • D.J. Benney, J.C. Luke, Interactions of permanent waves of finite amplitude, J. Math. Phys. 43 (1964) 309-313.
    • (1964) J. Math. Phys. , vol.43 , pp. 309-313
    • Benney, D.J.1    Luke, J.C.2
  • 4
    • 84928007477 scopus 로고
    • Theta functions and nonlinear equations
    • B.A. Dubrovin, Theta functions and nonlinear equations, Russ. Math. Surv. 36 (1981) 11-92.
    • (1981) Russ. Math. Surv. , vol.36 , pp. 11-92
    • Dubrovin, B.A.1
  • 5
    • 84980178052 scopus 로고
    • Multiphase averaging and the inverse spectral solution of the Korteweg-de Vries equation
    • H. Flaschka, M.G. Forest, D.W. McLaughlin, Multiphase averaging and the inverse spectral solution of the Korteweg-de Vries equation, Comm. Pure Appl. Math. 33 (1984) 739-784.
    • (1984) Comm. Pure Appl. Math. , vol.33 , pp. 739-784
    • Flaschka, H.1    Forest, M.G.2    McLaughlin, D.W.3
  • 6
    • 0020768597 scopus 로고
    • Weak and strong interactions between internal solitary waves
    • J.A. Gear, R. Grimshaw, Weak and strong interactions between internal solitary waves, Stud. Appl. Math. 70 (1984) 235-258.
    • (1984) Stud. Appl. Math. , vol.70 , pp. 235-258
    • Gear, J.A.1    Grimshaw, R.2
  • 7
    • 0014938243 scopus 로고
    • The solitary wave in water of variable depth
    • R. Grimshaw, The solitary wave in water of variable depth, J. Fluid Mech. 42 (1970) 639-656.
    • (1970) J. Fluid Mech. , vol.42 , pp. 639-656
    • Grimshaw, R.1
  • 8
    • 84952506499 scopus 로고
    • The solitary wave in water of variable depth, Part 2
    • R. Grimshaw, The solitary wave in water of variable depth, Part 2, J. Fluid Mech. 46 (1970) 611-622.
    • (1970) J. Fluid Mech. , vol.46 , pp. 611-622
    • Grimshaw, R.1
  • 9
    • 0000140547 scopus 로고
    • Slowly varying solitary waves. I: Korteweg-de Vries equation
    • R. Grimshaw, Slowly varying solitary waves. I: Korteweg-de Vries equation, Proc. Roy. Soc. Ser. A 368 (1979) 359-375.
    • (1979) Proc. Roy. Soc. Ser. A , vol.368 , pp. 359-375
    • Grimshaw, R.1
  • 10
    • 0023963551 scopus 로고
    • The modulated phase shift for weakly dissipated nonlinear oscillatory waves of the Korteweg-de Vries type
    • R. Haberman, The modulated phase shift for weakly dissipated nonlinear oscillatory waves of the Korteweg-de Vries type, Stud. Appl. Math. 78 (1988) 73-90.
    • (1988) Stud. Appl. Math. , vol.78 , pp. 73-90
    • Haberman, R.1
  • 11
    • 0024877769 scopus 로고
    • Two-dimensional periodic waves in shallow water
    • J. Hammack, N. Scheffner, H. Segur, Two-dimensional periodic waves in shallow water, J. Fluid Mech. 209 (1989) 567-589.
    • (1989) J. Fluid Mech. , vol.209 , pp. 567-589
    • Hammack, J.1    Scheffner, N.2    Segur, H.3
  • 12
    • 0040980044 scopus 로고
    • On the asymptotic solution to the Korteweg-de Vries equation, with slowly varying coefficients
    • R. Johnson, On the asymptotic solution to the Korteweg-de Vries equation, with slowly varying coefficients, J. Fluid Mech. 86 (1973) 415-431.
    • (1973) J. Fluid Mech. , vol.86 , pp. 415-431
    • Johnson, R.1
  • 13
    • 0000963564 scopus 로고
    • Surface waves on water of non-uniform depth
    • J.B. Keller Surface waves on water of non-uniform depth, J. Fluid Mech. 4 (1958) 607-614.
    • (1958) J. Fluid Mech. , vol.4 , pp. 607-614
    • Keller, J.B.1
  • 14
    • 20444364060 scopus 로고
    • Perturbation of solitons and solitary waves
    • Y. Kodama, M.J. Ablowitz, Perturbation of solitons and solitary waves, Stud. Appl. Math. 64 (1981) 225-245.
    • (1981) Stud. Appl. Math. , vol.64 , pp. 225-245
    • Kodama, Y.1    Ablowitz, M.J.2
  • 15
    • 0016903592 scopus 로고
    • Obliquely interacting solitary waves
    • J. Miles, Obliquely interacting solitary waves J. Fluid Mech. 79 (1977) 157-170.
    • (1977) J. Fluid Mech. , vol.79 , pp. 157-170
    • Miles, J.1
  • 16
    • 85045610705 scopus 로고    scopus 로고
    • A formulation for water waves over topography
    • to appear
    • P.A. Milewski, A formulation for water waves over topography. Stud. Appl. Math., to appear.
    • Stud. Appl. Math.
    • Milewski, P.A.1
  • 18
    • 0022199495 scopus 로고
    • An analytical model for periodic waves in shallow water
    • H. Segur, A. Finkel, An analytical model for periodic waves in shallow water, Stud. Appl. Math. 73 (1985) 183-220.
    • (1985) Stud. Appl. Math. , vol.73 , pp. 183-220
    • Segur, H.1    Finkel, A.2
  • 19
    • 0016518888 scopus 로고
    • Uniform ray theory of surface, internal, and acoustic wave propagation in a rotating ocean or atmosphere
    • M.C. Shen, J.B. Keller, Uniform ray theory of surface, internal, and acoustic wave propagation in a rotating ocean or atmosphere, SIAM J. Appl. Math. 28 (1975) 857-875.
    • (1975) SIAM J. Appl. Math. , vol.28 , pp. 857-875
    • Shen, M.C.1    Keller, J.B.2
  • 20
    • 0019024861 scopus 로고
    • On head-on collisions between two solitary waves
    • C.H. Su, R.M. Mirie, On head-on collisions between two solitary waves, J. Fluid Mech. 98 (1980) 509-525.
    • (1980) J. Fluid Mech. , vol.98 , pp. 509-525
    • Su, C.H.1    Mirie, R.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.