A dispersive model for undular bores
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- Ali, A. & Kalisch, H. Anal.Math.Phys. (2012) 2: 347. doi:10.1007/s13324-012-0040-7
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In this article, consideration is given to weak bores in free-surface flows. The energy loss in the shallow-water theory for an undular bore is thought to be due to upstream oscillations that carry away the energy lost at the front of the bore. Using a higher-order dispersive model equation, this expectation is confirmed through a quantitative study which shows that there is no energy loss if dispersion is accounted for.