235
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

On internal solitary waves

Pages 456-462 | Received 06 Nov 1978, Published online: 15 Dec 2016

References

  • Ablowitz, M. J., Kaup, D. J., Newell, A. C. and Segur, H. 1974. The inverse scattering transform-Fourier analysis for nonlinear problems. Stud. AppL Math. 53, 249–315.
  • Benjamin, T. 13. 1966. Internal waves of finite amplitude and permanent form. J. Fluid Mech. 25, 97–116.
  • Benney, D. J. 1966. Long non-linear waves in fluid flows. J. Math. & Phys. 45,52–63.
  • Dubreil-Jacotin, M. L. 1937. Sur les theoremes d'exi-stence relatifs aux ondes permanentes periodiques deux dimensions dans les liquides heterogenes. J. Math. Pures Appl. (9), 19, 43 (cited by Benjamin 1966).
  • Freeman, N. C. and Johnson, R. S. 1970. Shallow water waves on shear flows. J. Fluid Mech. 42, 401–409.
  • Gardner, C. S., Greene, J. M., Kruskal, M. D., and Miura, R. M. 1974. Korteweg-deVries equation and generalizations. VI. Methods for exact solution. Comm. Pure Appl. Math. 27, 97–133.
  • Kakutani, T. and Yamasaki, N. 1978. Solitary waves on a two-layer fluid. J. Phys. Soc. Japan 45,674–679.
  • Keulegan, G. H. 1953. Characteristics of internal solitary waves. J. Res. Nat. Bur. Stand. 51, 133–140.
  • Lee, C-Y. and Beardsley, R. C. 1974. The generation of long nonlinear internal waves in a weakly stratified shear flow. J. Geophys. Res. 79, 453–462.
  • Leonov, A. I. and Miropol'skiy, Y. Z. 1975. Toward a theory of stationary nonlinear internal gravity waves. Akad. Nauk. SSSR, lzv., Atmospheric and Oceanic Physics 11, 298–304.
  • Long, R. R. 1953. Some aspects of the flow of stratified fluids I. Tellus 5,42–58.
  • Long, R. R. 1956. Solitary waves in one- and two-fluid systems. Tellus 8, 460–471.
  • Long, R. R. 1965. On the Boussinesq approximation and its role in the theory of internal waves. Tellus 17, 46–52.
  • Peters, A. S. and Stoker, J. J. 1960. Solitary waves in liquids having non-constant density. Comm. Pure Appl. Math. 13, 115–164.
  • Ter-Krikorov, A. M. 1962. The solitary wave on the surface of a turbulent liquid. USSR Comp. Math. and Comp. Phys. 1, 1253–1264.
  • Ter-Krikorov, A. M. 1963. Theorie exacte des ondes longues stationnaires dans un liquide heterogene. J. Mécanique 2, 351–376.
  • Weidman, P. D. 1978. Internal waves in a linearly stratified fluid. Tellus 30, 177–184.