Simple expression for Green's function of the problem of ship waves in a deep homogeneous liquid

The classical problem of steady ship waves which are induced in a deep liqu id by a domain of surface pressures that is moving uniformly and rectilinea rly is investigated. Exact expressions are known (in the linear formulation ) for the characteristics of the induced waves in the form of double integr als and single integrals with a special function, the integral exponent. Us ing the analytic properties of the solution, a simpler expression is obtain ed for the elevation of the surface of the liquid in the form of single int egrals of standard functions, which enables one to simplify considerably th e numerical analysis of the neighbouring wave field domain. (C) 2000 Elsevi er Science Ltd. All rights reserved.