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Tellus Volume 8, 1956 - Issue 4
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Original Articles

Solitary Waves in the One- and Two-Fluid Systems

Robert R. LongThe Johns Hopkinr University, Baltimore
Pages 460-471 | Received 02 Mar 1956, Published online: 15 Dec 2016

References

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  • APTÉ, A., 1953: Sur une solution approachée du problem de l'onde solitaire. Comptes Rendus, 236, pp. 2477–2479.
  • BENJAMIN, T. B., and LIGHTH1LL, Mi., 1954: On cnoidal waves and bores. Proc. Roy. Soc. A, 224, pp. 448–460.
  • BOUSSINESQ, J., 1871: Théorie de l'intumescence liquide appeleé onde solitaire ou de translation se propageant dans un canal rectangulaire. Institute de France, Academie des Sciences, Comptes Rendus, p. 755.
  • DAVIES, T. V., 1951: The theory of symmetrical gravity waves of finite amplitude. I. Proc. Roy. Soc. A, 208, pp. 475–486,
  • FRIEDRICHS, K. O., and HYERS, D. H., 1954: The existence of the solitary wave. Comm. on Pure and Appl. Math., 8, pp. 517–550.
  • KELLER, J. B., 1954: The solitary wave and periodic waves in shallow water. Comm. on Pure and Appl. Math., 5, PP–323–329.
  • KEULEGAN, G., 1953: Characteristics of internal solitary waves. J., of Res. National Bureau of Standards, 51, pp. 133–140.
  • LAMB, Sir HORACE, 1932: Hydrodynamics. Dover Publications, New York. (see p.418).
  • LONG, R. R., 1956: Models of small-scale atmospheric phenomena involving density stratification. Fluid Models in Geophysics, U. S. Government Printing Office, Washington, D. C. Editor: Robert R. Long.
  • McCOWAN, J., 1891: On the solitary wave. Phil. Mag. 32, pp. 45–58.
  • McCOWAN, J., 1894: On thê highest wave of permanent type. Phil. Mag. 38, pp. 351–358.
  • PACKHAM, B. A., 1952: The theory of symmetrical gravity waves of finite amplitude. II. The solitary wave. Proc. Roy. Soc. A. 213, pp. 238–249.
  • RAYLEIGH, Lord, 1876: On waves. Phil. Mag. 5, pp. 257–279.
  • ROUSE, H., 1938: Fluid mechanics for Hydraulic Engineers. McGraw-Hill Book Co., New York. (see p. 384).
  • RUSSELL, SCOTT, 1844: Report on waves, Brit. Ass. Rep.
  • STARR, V. P., 1947: Momentum and energy integrals for gravity waves of finite height. J. of Marine Res. 3, pp. 175–193.
  • WEINSTEIN, A., 1926: Sur la vitesse de propagation de l'onde solitaire. Rend. Accad. Lincei, 3, pp. 463–468.

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