A new kind of solitary wave

Journal of Fluid Mechanics

Volumn 245, Issue 5, 1992, Pages 401-411

  Benjamin, T B ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYSIS-MATHEMATICAL; FLUIDS; SOLITARY WAVES; TWO-FLUID SYSTEMS;

GRAVITY-CAPILLARY SURFACE WAVES; SOLITARY WAVES; WAVE PROPAGATION;

EID: 0027009847     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S002211209200051X     Document Type: Article

References (16)

1. Benjamin T. B. 1967 Internal waves of permanent form in fluids of great depth. J. Fluid Mech. 29, 559–592.
2. Benjamin T. B. 1972 The stability of solitary waves Proc. R. Soc. Lond. A328, 153–183.
3. Benjamin T. B. 1974 Lectures on nonlinear wave motion. Am. Math. Soc., Lectures in Appl. Maths 15, 3–47.
4. Benjamin T. B. 1982 The solitary wave with surface tension. Q. Appl. Maths 40, 231–234.
5. Benjamin T. B. 1993a Note on formulas for the drag of a sphere. J. Fluid Mech. 246, 335–342.
6. Benjamin T. B. 1993b Nonlinear Dispersive Waves. Philadelphia: SIAM.
7. Benjamin T. B., Bona, J. L. & Bose D. K. 1990 Solitary-wave solutions of nonlinear problems Phil. Trans. R. Soc. Lond. A331, 195–244.
8. Bona J. L. 1975 On the stability of solitary waves Proc. R. Soc. Lond. A344, 363–374.
9. Iooss, G. & Kirchgässner K. 1990 Bifurcations d'ondes solitaires en presence d'une faible tension superficielle. C.R. Acad. Sci. Paris 311 (Sér. 1),265–268.
10. Kaye, G. W. C. & Laby T. H. 1966 Tables of Physical and Chemical Constants, 13th edn. Longmans.
11. 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.
12. Lamb H. 1932 Hydrodynamics, 6th edn.Cambridge University Press. (Dover edition 1945.)
13. Longuet-Higgins M. S. 1989 Capillary-gravity waves of solitary type on deep water. J. Fluid Mech. 200, 451–470.
14. Ono H. 1975 Algebraic solitary waves in stratified fluids. J. Phys. Soc. Japan 39, 1082–1091.
15. Vanden-Broeck, J.-M. & Dias F. 1992 Gravity-capillary solitary waves in water of infinite depth and related free-surface flows. J. Fluid Mech. 240, 549–557.
16. Whitham G. B. 1974 Linear and Nonlinear Waves. Wiley-Interscience.