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, 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.. Toward a theory of stationary nonlinear internal gravity waves. Akad. Nauk. SSSR, lzv., Atmospheric and Oceanic Physics 11,– 304. -
Long
, R. R. 1953. Some aspects of the flow of stratified fluids I. Tellus, 42– 58. -
Long
, R. R. 1956. Solitary waves in one- and two-fluid systems. Tellus, 460– 471. -
Long
, R. R. 1965. On the Boussinesq approximation and its role in the theory of internal waves. Tellus, 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, 351– 376. -
Weidman
, P. D. 1978. Internal waves in a linearly stratified fluid. Tellus, 177– 184.
DOI: https://doi.org/10.3402/tellusa.v31i5.10460 | Journal eISSN: 3035-9554
Language: English
Page range: 456 - 462
Submitted on: Nov 6, 1978
Published on: Jan 1, 1979
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services
© 1979 John W. Miles, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.