The solitary wave with surface tension
Author:
T. Brooke Benjamin
Journal:
Quart. Appl. Math. 40 (1982), 231-234
MSC:
Primary 76B25; Secondary 35Q20
DOI:
https://doi.org/10.1090/qam/666677
MathSciNet review:
666677
Full-text PDF Free Access
References |
Similar Articles |
Additional Information
- Marvin Shinbrot, The solitary wave with surface tension, Quart. Appl. Math. 39 (1981/82), no. 2, 287–291. MR 625475, DOI https://doi.org/10.1090/S0033-569X-1981-0625475-3
D. J. Korteweg and G. de Vries, On the change of form of long waves advancing in a rectangular canal and a new type of long stationary waves, Phil. Mag. (5) 39, 422–443 (1895)
- K. O. Friedrichs and D. H. Hyers, The existence of solitary waves, Comm. Pure Appl. Math. 7 (1954), 517–550. MR 65317, DOI https://doi.org/10.1002/cpa.3160070305
- A. M. Ter-Krikorov, Théorie exacte des ondes longues stationnaires dans un liquide hétérogène, J. Mécanique 2 (1963), 351–376 (French). MR 160400
T. Brooke Benjamin, Internal waves of permanent form in fluids of great depth, J. Fluid Mech. 29, 559–592 (1967)
- James Lighthill, Waves in fluids, Cambridge University Press, Cambridge-New York, 1978. MR 642980
- Horace Lamb, Hydrodynamics, 6th ed., Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1993. With a foreword by R. A. Caflisch [Russel E. Caflisch]. MR 1317348
- T. B. Benjamin and M. J. Lighthill, On conoidal waves and bores, Proc. Roy. Soc. London Ser. A 224 (1954), 448–460. MR 76526, DOI https://doi.org/10.1098/rspa.1954.0172
- T. B. Benjamin, The stability of solitary waves, Proc. Roy. Soc. London Ser. A 328 (1972), 153–183. MR 338584, DOI https://doi.org/10.1098/rspa.1972.0074
- T. Brooke Benjamin, Lectures on nonlinear wave motion, Nonlinear wave motion (Proc. AMS-SIAM Summer Sem., Clarkson Coll. Tech., Potsdam, N.Y., 1972) Amer. Math. Soc., Providence, R.I., 1974, pp. 3–47. Lectures in Appl. Math., Vol. 15. MR 0359517
Marvin Shinbrot, The solitary wave with surface tension, Quart. Appl. Math. 39, 287–291 (1981)
D. J. Korteweg and G. de Vries, On the change of form of long waves advancing in a rectangular canal and a new type of long stationary waves, Phil. Mag. (5) 39, 422–443 (1895)
K. O. Friedrichs and D. H. Hyers, The existence of solitary waves, Comm. Pure Appl. Math. 7, 517–550 (1954)
A. M. Ter-Krikorov, Théorie exacte des ondes longues stationnaires dans un liquide hétérogène, J. Mécanique 2, 351–376 (1963)
T. Brooke Benjamin, Internal waves of permanent form in fluids of great depth, J. Fluid Mech. 29, 559–592 (1967)
M. J. Lighthill, Waves in fluids, Cambridge University Press, 1978, p. 226
Sir H. Lamb, Hydrodynamics, 6th ed., Cambridge University Press, 1932, §§169, 187
T. Brooke Benjamin and M. J. Lighthill, On cnoidal waves and bores, Proc. Roy. Soc. Lond. A 224, 448–460 (1954)
T. Brooke Benjamin, The stability of solitary waves, Proc. Roy. Soc. Lond. A 328, 153–183 (1972)
T. Brooke Benjamin, Lectures on nonlinear wave motion, Amer. Math. Soc., Lectures in Appl. Math. 15, 3–47 (1974), §2.2
Similar Articles
Retrieve articles in Quarterly of Applied Mathematics
with MSC:
76B25,
35Q20
Retrieve articles in all journals
with MSC:
76B25,
35Q20
Additional Information
Article copyright:
© Copyright 1982
American Mathematical Society
