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J. Korean Math. Soc. 2003; 40(6): 1051-1060

Printed November 1, 2003

Copyright © The Korean Mathematical Society.

Symmetric surface waves over a bump

J. W. Choi, Daniel An, Chaeho Lim, and Sangro Park

Korea University, Korea University, Pohang University of Science an Technology

Abstract

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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

MSC numbers: 76B07

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