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Volumn 323, Issue , 1996, Pages 65-78

A two-dimensional Boussinesq equation for water waves and some of its solutions

Author keywords

[No Author keywords available]

Indexed keywords

GRAVITY WAVES; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; SOLITONS; WAVE PROPAGATION;

EID: 0030240478     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112096000845     Document Type: Article
Times cited : (79)

References (13)
  • 2
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    • A two-dimensional distributed soliton solution of the Korteweg-de Vries equation
    • FREEMAN, N. C. 1979 A two-dimensional distributed soliton solution of the Korteweg-de Vries equation. Proc. R. Soc. Lond. A 366, 185-204.
    • (1979) Proc. R. Soc. Lond. A , vol.366 , pp. 185-204
    • Freeman, N.C.1
  • 3
    • 0019241426 scopus 로고
    • Soliton interactions in two dimensions
    • FREEMAN, N. C. 1980 Soliton interactions in two dimensions. Adv. Appl. Mech. 20, 1-37.
    • (1980) Adv. Appl. Mech. , vol.20 , pp. 1-37
    • Freeman, N.C.1
  • 5
    • 2342430261 scopus 로고
    • 4, double and single sine-Gordon equations for three-dimensional solitons
    • 4, double and single sine-Gordon equations for three-dimensional solitons. Phys. Lett. 65A, 380-382.
    • (1978) Phys. Lett. , vol.65 A , pp. 380-382
    • Gibbon, J.D.1    Freeman, N.C.2    Johnson, R.S.3
  • 6
    • 0001486467 scopus 로고
    • A search for bilinear equations passing Hirota's three-soliton condition. I KdV-type bilinear equations
    • HIETARINTA, J. 1987 A search for bilinear equations passing Hirota's three-soliton condition. I KdV-type bilinear equations. J. Math. Phys. 28, 1732-1742.
    • (1987) J. Math. Phys. , vol.28 , pp. 1732-1742
    • Hietarinta, J.1
  • 7
    • 35949040541 scopus 로고
    • Exact solution of the Korteweg-de Vries equation for multiple collisions of solitons
    • HIROTA, R. 1971 Exact solution of the Korteweg-de Vries equation for multiple collisions of solitons. Phys. Rev. Lett. 27, 1192-1194.
    • (1971) Phys. Rev. Lett. , vol.27 , pp. 1192-1194
    • Hirota, R.1
  • 8
    • 36849101831 scopus 로고
    • Exact N-soliton of the wave equation of long waves in shallow water and in nonlinear lattices
    • HIROTA, R. 1973 Exact N-soliton of the wave equation of long waves in shallow water and in nonlinear lattices. J. Math. Phys. 14, 810-814.
    • (1973) J. Math. Phys. , vol.14 , pp. 810-814
    • Hirota, R.1
  • 9
    • 0001469929 scopus 로고
    • Water waves and Korteweg-de Vries equations
    • JOHNSON, R. S. 1980 Water waves and Korteweg-de Vries equations. J. Fluid Mech. 97, 701-719.
    • (1980) J. Fluid Mech. , vol.97 , pp. 701-719
    • Johnson, R.S.1
  • 10
    • 0000262859 scopus 로고
    • On the stability of solitary waves in weakly dispersing media
    • KADOMTSEV, B. B. & PETVIASHVILI, V. I. 1970 On the stability of solitary waves in weakly dispersing media. Sov. Phys. Dokl. 15, 539-541.
    • (1970) Sov. Phys. Dokl. , vol.15 , pp. 539-541
    • Kadomtsev, B.B.1    Petviashvili, V.I.2
  • 11
    • 0001524186 scopus 로고
    • On the change of form of long-waves advancing in a rectangular canal, and on a new type of long stationary waves
    • KORTEWEG, D. J. & DE VRIES, G. 1895 On the change of form of long-waves advancing in a rectangular canal, and on a new type of long stationary waves. Phil. Mag. (5) 39, 422-443.
    • (1895) Phil. Mag. (5) , vol.39 , pp. 422-443
    • Korteweg, D.J.1    De Vries, G.2
  • 13
    • 0016908018 scopus 로고
    • Resonantly interacting solitary waves
    • MILES, J. W. 1977 Resonantly interacting solitary waves. J. Fluid Mech. 79, 171-179.
    • (1977) J. Fluid Mech. , vol.79 , pp. 171-179
    • Miles, J.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.