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http://dx.doi.org/10.4134/JKMS.2003.40.6.1051

SYMMETRIC SURFACE WAVES OVER A BUMP  

Choi, J.W. (Department of Mathematics Korea University)
An, Daniel (Department of Mathematics Korea University)
Lim, Chae-Ho (Department of Mathematics Korea University)
Park, Sang-Ro (Pohang University of Science an Technology)
Publication Information
Journal of the Korean Mathematical Society / v.40, no.6, 2003 , pp. 1051-1060 More about this Journal
Abstract
We study the surface waves of an incompressible fluid passing over a small bump. A forced KdV equation for surface wave is derived without assuming that flow is uniform at far upstream. New types of steady solutions are discovered numerically. Two new cut off values of Froude number are found, above the larger of which two symmetric solutions exist and under the smaller of which two different symmetric solutions exist.
Keywords
periodic wave; FKdV equation;
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