Abstract:
The Nekrasov integral equation is obtained which describes the steady flow of an ideal incompressible fluid with a free surface above an uneven bottom with a wavy profile. A numerical method has been developed for solving this equation at the coordinates of the bottom profile defined in the plane of the complex variable $z = x + iy$.
Keywords:steady waves on the surface of a liquid, integral equation, Laurent series, kernel of the Nekrasov equation, conformal mapping.