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Abstract The object of this thesis is to shed light on some features of the characteristics of standing waves occurring on the free surface of water in partially filled moving basins. The problem studied in this context is the motion of a basin with specified inertia in an oscillatory rectilinear manner due to an elastic restoring force. The elastic force is characterized by being cubicly nonlinear in a soft way. Also, the basin which is of a rectangular shape is partially filled with water up to a certain specified finite depth. Adopting the inviscid liquid hydrodynamical theory, the kinetic and potential energies of both the liquid and basin have been constructed. Then, the Hamiltonian function has been formed and hence, the governing equations have been obtained in a form of an autonomous nonlinear system of first order differential equations. |