Abstract
The derivation of basic conservation laws in the shallow-water theory from the multidimensional integral laws of conservation of mass and total momentum describing the plane-parallel flow of an ideal incompressible fluid above a horizontal bottom is proposed. The restrictions on flow parameters arising in this case have the integral form and are much weaker in comparison with the requirement of flow potentiality and the condition of long-wavelength approximation. The last fact substantiates the use of the shallow-water model for the mathematical modeling of a much wider class of wave flows, the parameters of which are not related directly to the restrictions of the long-wavelength approximation.
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