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On the solitary wave paradigm for tsunamis

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This article is published in Journal of Geophysical Research.The article was published on 2008-12-01. It has received 326 citations till now. The article focuses on the topics: Undular bore & Rayleigh wave.

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Dispersive shock waves and modulation theory

TL;DR: A comprehensive survey of the field of dispersive hydrodynamics can be found in this paper, where the authors use Whitham's averaging theory as the primary mathematical tool and review the rich mathematical developments over the past fifty years with an emphasis on physical applications.
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A quadtree-adaptive multigrid solver for the Serre-Green-Naghdi equations

TL;DR: A novel combination of methods for the numerical approximation of solutions to the Serre-Green-Naghdi equations preserves the robustness of the original finite-volume Saint-Venant solver, in particular for the treatment of wetting/drying and equilibrium states.
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Dispersion of tsunamis: does it really matter?

TL;DR: In this paper, the effect of dispersion in the field of tsunami modeling is discussed from a theoretical point of view, and a single parameter, denoted as "dispersion time", for the integrated effect of frequency dispersion is identified.
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Numerical Simulation of the 2011 Tohoku Tsunami Based on a New Transient FEM Co-seismic Source: Comparison to Far- and Near-Field Observations

TL;DR: In this article, the authors simulate the 2011 Tohoku-Oki tsunami using new coseismic tsunami sources based on inverting onshore and offshore geodetic data, using 3D Finite Element Models (FEMs).
References
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Book

Linear and Nonlinear Waves

G. B. Whitham
TL;DR: In this paper, a general overview of the nonlinear theory of water wave dynamics is presented, including the Wave Equation, the Wave Hierarchies, and the Variational Method of Wave Dispersion.
Journal ArticleDOI

Method for solving the Korteweg-deVries equation

TL;DR: In this paper, a method for solving the initial value problem of the Korteweg-deVries equation is presented which is applicable to initial data that approach a constant sufficiently rapidly as
Journal ArticleDOI

XLI. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves

TL;DR: In this article, the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves were discussed, and a new model of long wave propagation was proposed.
Book

The applied dynamics of ocean surface waves

Chiang C. Mei
TL;DR: In this article, the authors present selected theoretical topics on ocean wave dynamics, including basic principles and applications in coastal and offshore engineering, all from a deterministic point of view, and the bulk of the material deals with the linearized theory.