  A new model for Korteweg and de-Vries equation (KdV) is derived. The system
under study is an open channel consisting of two concentric cylinders, rotating
about their vertical axis, which is tilted by slope {\tau} from the inertial
vertical z, in uniform rate {\Omega}_1={\tau}{\Omega}, and the whole tank is
elevated over other table rotating at rate {\Omega}. Under these conditions, a
set of Kelvin waves is formed on the free surface depending on the angle of
tilt, characterized by the slope {\tau}, volume of water, and rotation rate.
The resonant mode in the system appears in the form of a single Kelvin solitary
wave, whose amplitude satisfies the Korteweg-de Vries equation with forced
term. The equation was derived following classical perturbation methods, the
additional term made the equation a non-integrable one, that cannot be solved
without the help of numerical methods. Invoking the simple finite difference
scheme method, it was found that the numerical results are in a good agreement
with the experiment.
