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On Stationary Waves on the Surface of a Finite-Depth Ideal Fluid: Stokes’ Second Method
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On Stationary Waves on the Surface of a Finite-Depth Ideal Fluid: Stokes’ Second Method
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Journal Article
On Stationary Waves on the Surface of a Finite-Depth Ideal Fluid: Stokes’ Second Method
2024
Overview
The classical problem of stationary waves on the surface of an ideal incompressible homogeneous fluid of finite depth is considered. The solution approach to the problem is related to Stokes’ second method, but has the following differences: due to the one-dimensional integro-differential equation with cubic nonlinearity obtained for the profile of a stationary wave on the surface of the finite-depth fluid, the original problem is reduced to a one-dimensional one. The solution is obtained up to the seventh approximation.
Publisher
Pleiades Publishing,Springer Nature B.V
