Abstract
The classical problem of steady ship waves which are induced in a deep liquid by a domain of surface pressures that is moving uniformly and rectilinearly is investigated. Exact expressions are known (in the linear formulation) for the characteristics of the induced waves in the form of double integrals and single integrals with a special function, the integral exponent. Using the analytic properties of the solution, a simpler expression is obtained for the elevation of the surface of the liquid in the form of single integrals of standard functions, which enables one to simplify considerably the numerical analysis of the neighbouring wave field domain.
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