Abstract
An exact integral equation is found for inviscid steady surface waves. Existing known approximations are all derived from the one equation. A numerical solution is attempted in the case of the solitary wave. From the numerical solution the amplitude of the solitary wave of maximum height is estimated. The numerical solution is also compared with the existing approximations and the implications drawn from the comparison are discussed.
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More From: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
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