We have found that the reflected wave that is created by a right-going solitary wave as it travels in a region of slowly changing depth does not satisfy Green's law. The amplitude of the reflected wave is constant along left-going characteristics rather than proportional to the negative fourth root of depth. This new finding allows us to satisfy the mass-flux conservation laws to leading order and establishes that the perturbed Korteweg–de Vries equation is a consistent approximation for the right-going profile.
No takes yet. Share an insight, caveat, or question.
Knickerbocker et al. (1985) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: