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Symmetries of the equations of two-dimensional shallow water over a rough bottom
Journal of Physics, Conference Series
The two-dimensional shallow water system over a rough bottom is considered. An overdetermined system of equations for finding the allowed symmetries is obtained. The consistency of this overdetermined system of equations is investigated. A general form of the solution of this system is obtained. The kernel of the symmetry operators is found. Cases where the kernel extensions of symmetry operators exist are presented. The corresponding classifying equations are given. The results of the groupdoi:10.1088/1742-6596/1205/1/012002 fatcat:5amyihsa4bg2xhbhlgi346g2iq