Journal of Fluid Mechanics

The solitary wave in water of variable depth. Part 2

R.  Grimshaw a1
a1 University of Melbourne

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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.

(Published Online March 29 2006)
(Received September 10 1970)