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Volumn 475, Issue , 2003, Pages 247-268

Weakly nonlinear surface waves over a random seabed

Author keywords

[No Author keywords available]

Indexed keywords

BATHYMETRY; DAMPING; SCATTERING; WATER WAVES;

EID: 0037464962     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S002211200200280X     Document Type: Article
Times cited : (45)

References (41)
  • 2
    • 24244444170 scopus 로고
    • Absence of diffusion in certain random lattices
    • ANDERSON, P. A. 1958 Absence of diffusion in certain random lattices. Phys. Rev. 109, 1492-1505.
    • (1958) Phys. Rev. , vol.109 , pp. 1492-1505
    • Anderson, P.A.1
  • 5
    • 0000360069 scopus 로고
    • Gravity waves on a rough bottom: Experimental evidence of one-dimensional localization
    • BELZONS, M., GUAZZELLI, E. & PARODI, O. 1988 Gravity waves on a rough bottom: experimental evidence of one-dimensional localization. J. Fluid Mech. 186, 539-558.
    • (1988) J. Fluid Mech. , vol.186 , pp. 539-558
    • Belzons, M.1    Guazzelli, E.2    Parodi, O.3
  • 6
    • 0032163922 scopus 로고    scopus 로고
    • Nonlinear wave propagation in a disordered medium
    • BRONSKI, J. C. 1998 Nonlinear wave propagation in a disordered medium. J. Statist. Phys. 92, 995-1015.
    • (1998) J. Statist. Phys. , vol.92 , pp. 995-1015
    • Bronski, J.C.1
  • 7
    • 80054816342 scopus 로고
    • Covariance properties of waves propagating in a random medium
    • CHEN, K. K. & SOONG, T. T. 1971 Covariance properties of waves propagating in a random medium. J. Acoust. Soc. Amr. 49, 1639-1642.
    • (1971) J. Acoust. Soc. Amr. , vol.49 , pp. 1639-1642
    • Chen, K.K.1    Soong, T.T.2
  • 9
    • 0024189537 scopus 로고
    • Localization of gravity waves on a channel with a random bottom
    • DEVILLARD, P., DUNLOP, F. & SOUILLARD, B. 1988 Localization of gravity waves on a channel with a random bottom. J. Fluid Mech. 186, 521-538.
    • (1988) J. Fluid Mech. , vol.186 , pp. 521-538
    • Devillard, P.1    Dunlop, F.2    Souillard, B.3
  • 10
    • 0001207482 scopus 로고
    • Polynomially decaying transmission for the nonlinear Schrödinger equation in a random medium
    • DEVILLARD, P. & SOUILLARD, B. 1986 Polynomially decaying transmission for the nonlinear Schrödinger equation in a random medium. J. Statist. Phys. 43, 423-439.
    • (1986) J. Statist. Phys. , vol.43 , pp. 423-439
    • Devillard, P.1    Souillard, B.2
  • 11
    • 84956065051 scopus 로고
    • Anderson localization in nonlinear random media
    • DOUCOT, B. & RAMMAL, R. 1987 Anderson localization in nonlinear random media. Europhys. Lett. 3, 969-974.
    • (1987) Europhys. Lett. , vol.3 , pp. 969-974
    • Doucot, B.1    Rammal, R.2
  • 12
    • 0003337563 scopus 로고
    • The long-distance propagation of shallow water waves over an ocean of random depth
    • ELTER, J. F. & MOLYNEUX, J. E. 1972 The long-distance propagation of shallow water waves over an ocean of random depth. J. Fluid Mech. 53, 1-15.
    • (1972) J. Fluid Mech. , vol.53 , pp. 1-15
    • Elter, J.F.1    Molyneux, J.E.2
  • 14
    • 0003002459 scopus 로고
    • Wave propagation in random media
    • (ed. A. T. Bharucha-Reid) Academic
    • FRISCH, U. 1968 Wave propagation in random media. In Probabilistic Methods in Applied Mathematics (ed. A. T. Bharucha-Reid), vol. 1, pp. 75-198. Academic.
    • (1968) Probabilistic Methods in Applied Mathematics , vol.1 , pp. 75-198
    • Frisch, U.1
  • 15
    • 0032302719 scopus 로고    scopus 로고
    • Asymptotic transmission of solitons through random media
    • GARNIER, J. 1998 Asymptotic transmission of solitons through random media. SIAM J. Appl. Maths 58, 1969-1995.
    • (1998) SIAM J. Appl. Maths , vol.58 , pp. 1969-1995
    • Garnier, J.1
  • 16
    • 0035541849 scopus 로고    scopus 로고
    • Exponential localization versus soliton propagation
    • GARNIER, J. 2001a Exponential localization versus soliton propagation. J. Statist. Phys. 105, 789-833.
    • (2001) J. Statist. Phys. , vol.105 , pp. 789-833
    • Garnier, J.1
  • 17
    • 0035393153 scopus 로고    scopus 로고
    • Solitons in random media with long-range correlation
    • GARNIER, J. 2001b Solitons in random media with long-range correlation. Waves in Random Media 11, 149-162.
    • (2001) Waves in Random Media , vol.11 , pp. 149-162
    • Garnier, J.1
  • 18
    • 0003096258 scopus 로고
    • Propagation and scattering of nonlinear waves in disordered systems
    • GREDESKUL, S. A. & KIVSHAR, Y. S. 1992 Propagation and scattering of nonlinear waves in disordered systems. Phys. Rep. 216, 1-61.
    • (1992) Phys. Rep. , vol.216 , pp. 1-61
    • Gredeskul, S.A.1    Kivshar, Y.S.2
  • 19
    • 84977290586 scopus 로고
    • Feynman diagrams and interaction rules of wave-wave scattering processes
    • HASSELMAN, K. 1966 Feynman diagrams and interaction rules of wave-wave scattering processes. Rev. Geophys. 4, 1-32.
    • (1966) Rev. Geophys. , vol.4 , pp. 1-32
    • Hasselman, K.1
  • 20
    • 0000889194 scopus 로고
    • On wave scattering by random inhomogeneities, with application to the theory of weak bores
    • HOWE, M. S. 1971 On wave scattering by random inhomogeneities, with application to the theory of weak bores. J. Fluid Mech. 45, 785-804.
    • (1971) J. Fluid Mech. , vol.45 , pp. 785-804
    • Howe, M.S.1
  • 23
    • 33746772948 scopus 로고
    • Elastic, electromagnetic and other waves in a random medium
    • KARAL, F. C. & KELLER, J. B. 1964 Elastic, electromagnetic and other waves in a random medium. J. Math. Phys. 5, 537-547.
    • (1964) J. Math. Phys. , vol.5 , pp. 537-547
    • Karal, F.C.1    Keller, J.B.2
  • 24
    • 0000172197 scopus 로고
    • Stochastic equations and wave propagation in random media
    • (ed. R. Bellman), Am. Math. Soc
    • KELLER J. B. 1964 Stochastic equations and wave propagation in random media. In Proc. 16th Symp. Appl. Maths (ed. R. Bellman), pp. 145-170. Am. Math. Soc.
    • (1964) Proc. 16th Symp. Appl. Maths , pp. 145-170
    • Keller, J.B.1
  • 25
    • 0001437633 scopus 로고
    • Localization decay induced by strong nonlinearity in disordered systems
    • KIVSHAR, Y. S., GREDESKUL, S. A., SANCHEZ, A. & VAZQUEZ, L. 1990 Localization decay induced by strong nonlinearity in disordered systems. Phys. Rev. Lett. 64, 1693-1696.
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 1693-1696
    • Kivshar, Y.S.1    Gredeskul, S.A.2    Sanchez, A.3    Vazquez, L.4
  • 26
    • 0001634261 scopus 로고
    • Transmission of solitons through random media
    • KNAPP, R. 1995 Transmission of solitons through random media. Physica D 85, 496-508.
    • (1995) Physica D , vol.85 , pp. 496-508
    • Knapp, R.1
  • 27
    • 0013446331 scopus 로고
    • Nonlinearity and localization in one-dimensional random media
    • (ed. A. R. Bishop, D. K. Campbell and S. Pnevmatikos), Springer
    • KNAPP, R., PAPANICOLAOU, G. & WHITE, B. 1989 Nonlinearity and localization in one-dimensional random media. In Disorder and Nonlinearity (ed. A. R. Bishop, D. K. Campbell & S. Pnevmatikos), pp. 2-26. Springer.
    • (1989) Disorder and Nonlinearity , pp. 2-26
    • Knapp, R.1    Papanicolaou, G.2    White, B.3
  • 28
    • 16644401181 scopus 로고
    • Transmission of waves by a nonlinear random medium
    • KNAPP, R., PAPANICOLAOU, G. & WHITE, B. 1991 Transmission of waves by a nonlinear random medium. J. Statist. Phys. 63, 567-583.
    • (1991) J. Statist. Phys. , vol.63 , pp. 567-583
    • Knapp, R.1    Papanicolaou, G.2    White, B.3
  • 29
    • 0001064272 scopus 로고
    • Scattering of surface waves by an irregular bottom
    • LONG, R. B. 1973 Scattering of surface waves by an irregular bottom. J. Geophys. Res. 78, 7861-7870.
    • (1973) J. Geophys. Res. , vol.78 , pp. 7861-7870
    • Long, R.B.1
  • 31
    • 57249114426 scopus 로고    scopus 로고
    • Localization of weakly nonlinear dispersive waves in a random medium
    • MEI, C. C. & PIHL, J. H. 2002 Localization of weakly nonlinear dispersive waves in a random medium. Proc. R. Soc. Lond. A 458, 119-134.
    • (2002) Proc. R. Soc. Lond. A , vol.458 , pp. 119-134
    • Mei, C.C.1    Pihl, J.H.2
  • 32
    • 0029413460 scopus 로고
    • The localization length of randomly scattered water waves
    • NACHBIN, A. 1995 The localization length of randomly scattered water waves. J. Fluid Mech. 296, 353-372.
    • (1995) J. Fluid Mech. , vol.296 , pp. 353-372
    • Nachbin, A.1
  • 33
    • 0027066723 scopus 로고
    • Water waves in shallow channels of rapidly varying depth
    • NACHBIN, A. & PAPANICOLAOU, G. C. 1992 Water waves in shallow channels of rapidly varying depth. J. Fluid Mech. 241, 311-332.
    • (1992) J. Fluid Mech. , vol.241 , pp. 311-332
    • Nachbin, A.1    Papanicolaou, G.C.2
  • 34
    • 0032047594 scopus 로고    scopus 로고
    • Berkhoff approximation in a problem on surface gravity wave propagation in a basin with bottom irregularities
    • PELINOVSKY, E., RAZIN, A. & SASOROVA, E. V. 1998 Berkhoff approximation in a problem on surface gravity wave propagation in a basin with bottom irregularities. Waves in Random Media 8, 255-258.
    • (1998) Waves in Random Media , vol.8 , pp. 255-258
    • Pelinovsky, E.1    Razin, A.2    Sasorova, E.V.3
  • 35
    • 0020735107 scopus 로고
    • Gravity waves in a channel with a rough bottom
    • ROSALES, R. R. & PAPANICOLAOU, G. C. 1983 Gravity waves in a channel with a rough bottom. Stud. Appl. Maths 68, 89-102.
    • (1983) Stud. Appl. Maths , vol.68 , pp. 89-102
    • Rosales, R.R.1    Papanicolaou, G.C.2
  • 36
    • 0001000124 scopus 로고
    • Initial value problems of one-dimensional self-modulation of nonlinear waves in dispersive media
    • SATSUMA, J. & YAJIMA, N. 1974 Initial value problems of one-dimensional self-modulation of nonlinear waves in dispersive media. Suppl. Prog. Theor. Phys. 55, 284-306.
    • (1974) Suppl. Prog. Theor. Phys. , vol.55 , pp. 284-306
    • Satsuma, J.1    Yajima, N.2
  • 40
    • 0035276024 scopus 로고    scopus 로고
    • Diffusion and localization of surface gravity waves over irregular bathymetry
    • STEPANIANTS, A. 2001 Diffusion and localization of surface gravity waves over irregular bathymetry. Phys. Rev. E 63, 031202/1-11.
    • (2001) Phys. Rev. E , vol.63
    • Stepaniants, A.1
  • 41
    • 0019037844 scopus 로고
    • Forward diffraction of stokes waves by a thin wedge
    • YUE, D. K.-P. & MEI, C. C. 1980 Forward diffraction of stokes waves by a thin wedge. J. Fluid Mech. 99, 33-52.
    • (1980) J. Fluid Mech. , vol.99 , pp. 33-52
    • Yue, D.K.-P.1    Mei, C.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.