Experiments on strong interactions between solitary waves

Author:

Weidman P. D.,Maxworthy T.

Abstract

Experiments on the interaction between solitary shallow-water waves propagating in the same direction have been performed in a rectangular channel. Two methods were devised to compensate for the dissipation of the waves in order to compare results with Hirota's (1971) solution for the collision of solitons described by the Kortewegde Vries equation. Both qualitative and quantitative agreement with theory is obtained using the proposed corrections for wave damping.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference16 articles.

1. Kruskal, M. D. 1974 The Korteweg-de Vries equation and related evolution equations.Lectures in Appl. Math. vol. 15. Nonlinear Wave Motion,pp.61–83.

2. Miles, J. W. 1977b Obliquely interacting solitary waves.J. Fluid Mech. 79,157–169.

3. Oikawa, M. & Yajima, N. 1973 Interactions of solitary waves - a perturbation approach to non-linear systems.J. Phys. Soc. Japan 34,1093–1099.

4. Keulegan, G. H. 1948 Gradual damping of solitary waves.Nat. Bur. Sci. J. Res. 40,487–498.

5. Miles, J. W. 1967 Surface-wave damping in closed basins.Proc. Roy. Soc. A297,459–475.

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