Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2006-06-27
Nonlinear Sciences
Exactly Solvable and Integrable Systems
Submitted for a book "Tsunamis and Nonlinear Waves"
Scientific paper
The problem of the long wave runup on a beach is discussed in the framework of the rigorous solutions of the nonlinear shallow-water theory. The key and novel moment here is the analysis of the runup of a certain class of asymmetric waves, the face slope steepness of which exceeds the back slope steepness. Shown is that the runup height increases when the relative face slope steepness increases whereas the rundown weakly depends on the steepness. The results partially explain why the tsunami waves with the steep front (as it was for the 2004 tsunami in the Indian Ocean) penetrate deeper into inland compared with symmetric waves of the same height and length.
Didenkulova Irina
Pelinovsky Efim
Soomere Tarmo
Zahibo Narcisse
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