Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-27T14:39:55.522Z Has data issue: false hasContentIssue false
  • English
  • Français

Experiments on collisions between solitary waves

Published online by Cambridge University Press:  11 April 2006

T. Maxworthy
T. Maxworthy
Affiliation:
Departments of Aerospace and Mechanical Engineering, University of Southern California, Los Angeles
Get access Rights & Permissions [Opens in a new window]

Abstract

Experiments on ‘head-on’ collisions between two solitary waves show that the waves reach a maximum amplitude greater than twice the initial wave amplitude and that they suffer a time delay during their interaction. These results are compared with available theories and found to be in qualitative but not quantitative agreement.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 76 , Issue 1 , 14 July 1976 , pp. 177 - 186
Copyright
© 1976 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Benney, D. J. & Luke, J. C. 1964 On the interactions of permanent waves of finite amplitude. J. Math. & Phys. 43, 309–313.Google Scholar
Boussinesq, J. 1872 Théorie des ondes et des remous qui se propagent le long d’un canal rectangulaire horizontal, en communiquant au liquide contenu dans ce canal des vitesses sensiblement pareilles de la surface au fond. J. Math. Pures Appl. 17, 55–108.Google Scholar
Byatt-Smith, J. G. B. 1971 An integral equation for unsteady surface waves and a comment on the Boussinesq equation. J. Fluid Mech. 49, 625–633.Google Scholar
Chan, R. K. C. & Street, R. L. 1970 A computer study of finite-amplitude water waves. J. Comp. Phys. 6, 68–94.Google Scholar
Hirota, R. 1972 Exact solution of the modified Korteweg—de Vries equation for multiple collisions of solitons. J. Phys. Soc. Japan, 33, 1456—1458.Google Scholar
Hirota, R. 1973 Exact N-soliton solution of the wave equation of long water waves in shallow water and in non-linear lattices. J. Math. Phys. 14, 810–815.Google Scholar
Long, R. R. 1964 The initial-value problem for long waves of finite amplitude. J. Fluid Mech. 20, 161–170.Google Scholar
Maxworthy, T. & Redekopp, L. G. 1976 A solitary wave theory of the Great Red Spot and other observed features in the Jovian atmosphere. Icarus (in Press).
Oikawa, M. & Yajima, N. 1973 Interactions of solitary waves — a perturbation approach to non-linear systems. J. Phys. Soc. Japan, 34, 1093—1099.Google Scholar
Rosenhead, L. 1963 Laminar Boundary Layers. Oxford University Press.
Scott, A. G., Chu, F. Y. F. & McLaughlin, D. W. 1973 The soliton: a new concept in applied science. Proc. I.E.E.E. 61, 1443–1483.Google Scholar
Segur, H. 1973 The Korteweg—de Vries equation and water waves. Solutions of the equations. Part 1. J. Fluid Mech. 59, 721–736.Google Scholar
Whitham, G. B. 1974 Linear and Non-Linear Waves. Interscience.