Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
470795 | Computers & Mathematics with Applications | 2010 | 9 Pages |
Abstract
In the present work, utilizing the two-dimensional equations of an incompressible inviscid fluid and the reductive perturbation method, we studied the propagation of weakly nonlinear waves in water of variable depth. For the case of slowly varying depth, the evolution equation is obtained as a variable-coefficient Korteweg–de Vries (KdV) equation. A progressive wave type of solution, which satisfies the evolution equation in the integral sense but not point by point, is presented. The resulting solution is numerically evaluated for two selected bottom profile functions, and it is observed that the wave amplitude increases but the band width of the solitary wave decreases with increasing undulation of the bottom profile.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Hilmi Demiray,