Solitary Wave Runup on Plane Slopes

By Ying Li, F. Raichlen. 2001

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Estimation of wave run-up on smooth, impermeable slopes using the wave momentum flux parameter (2004, background): “A theoretical run-up equation for nonbreaking solitary waves was presented by Li and Raichlen (2001) as R h Li ¼ 2:831 cotað Þ1=2 H h 5=4 þ 0:293 cotað Þ3=2 H h 9=4 ð45Þ Predictions using Eq.”
Non-breaking and breaking solitary wave run-up (2000, methodology): “It should be noted that in the non-breaking region the analytical results from Synolakis (1986) and from Li & Raichlen (2001) are in agreement with the limited data shown.”
Analytical solutions for tsunami runup on a plane beach: single waves, N-waves and transient waves (2010, background): “…their work was extended to waves of different forms by, e.g. Gjevik & Pedersen (1981), Synolakis (1987), Synolakis & Deb (1988), Synolakis et al. (1988), Pelinovsky & Mazova (1992), Tadepalli & Synolakis (1994, 1996), Li & Raichlen (2001), Didenkulova et al. (2006), and Didenkulova et al. (2007).”
On the solitary wave paradigm for tsunamis (2008, methodology): “[1987]: ‘‘Solitary waves are believed to model some important aspects of the coastal effects of tsunamis well’’; Yeh et al. [1994]: ‘‘Because of its stable form and the fact that a leading wave of tsunamis often emerges as a solitary wave after a long period of propagation, it has become customary t”