Abstract
With the averaged variational principles and the energy-momentum tensor, conservation laws for wave action, mass, momentum and energy for slowly varying water waves are derived systematically. For Stokes waves this enables us to derive energy and momentum conservation laws developed by the concept of “radiation stress” from general energymomentum tensor, which is as yet not clearly understood. Moreover the change of the wave amplitude of solitary wave over an uneven bottom is obtained from energy conservation equation.
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