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Kinetic, potential and surface tension energies of solitary waves in deep water (1509.00317v1)
Published 1 Sep 2015 in math.AP, math-ph, math.MP, and physics.flu-dyn
Abstract: We present an exact relation among the kinetic, potential and surface tension energies of a solitary wave in deep water in all dimensions. We deduce its non-existence in the absence of the effects of surface tension, provided that gravity acts in a direction opposite to what is physically realistic.
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