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The solitary wave in water of variable depth. Part 2

Published online by Cambridge University Press:  29 March 2006

R. Grimshaw
R. Grimshaw
Affiliation:
University of Melbourne
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Abstract

This paper examines the deformation of a solitary wave due to a slow variation of the bottom topography. Differential equations which determine the slow variation of the parameters of a solitary wave are derived by a certain averaging process applied to the exact in viscid equations. The equations for the parameters are solved when the bottom topography varies only in one direction, and when the wave evolves from a region of uniform depth. The variation of amplitude with depth is determined and compared with some recent experimental results.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 46 , Issue 3 , 13 April 1971 , pp. 611 - 622
Copyright
© 1971 Cambridge University Press

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