Standing waves in the cylinder basins with inhomogeneous bottom are considered inthis paper.We assume that the inviscid,incompressible fluid is in irrotational undulatorymotion.For convemence sake.cylindrical coordinates are chosen.The velocity potentials,the wave profiles and the modified frequencies are determined（to the third order）us powerseries in terms of the amplitude divided by the wavelength.Axisymmetrical analyticalsolutions are worked out.Whenω1=0,the second order frequency are gained.As an example,we assume that cylinder bottom is an axisymmetrical paraboloid.Wefind out that the uneven bottom has influences on standing waves.In the end.we go intodetail on geometric factors.
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