On the relevance of soliton theory to tsunami modelling
type: Item
instance of: scholarly article
title: On the relevance of soliton theory to tsunami modelling
zbMATH Open document ID: 1231.76027
author: A. Constantin
published in: Wave Motion
publication date: 2012-02-11T00:00:00Z
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 86A05
Mathematics Subject Classification ID: 35Q51
zbMATH DE Number: 6005360
zbMATH Keywords: tsunami
zbMATH Keywords: soliton
zbMATH Keywords: non-linear waves
MaRDI profile type: Publication
full work available at URL: j.wavemoti.2009.05.002
OpenAlex ID: W2014500542
Wikidata QID: Q58870000
cites work: The inverse scattering transform: Semi-infinite interval
cites work: Large time existence for 3D water waves and asymptotics
cites work: On solitary water-waves of finite amplitude
cites work: Model equations for long waves in nonlinear dispersive systems
cites work: Global conservative solutions of the Camassa-Holm equation
cites work: GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
cites work: An integrable shallow water equation with peaked solitons
cites work: The trajectories of particles in Stokes waves
cites work: Solitons from the Lagrangian perspective
cites work: Wave breaking for nonlinear nonlocal shallow water equations
cites work: Particle trajectories in solitary water waves
cites work: Inverse scattering transform for the Camassa–Holm equation
cites work: On the Non-Dimensionalisation, Scaling and Resulting Interpretation of the Classical Governing Equations for Water Waves
cites work: Propagation of very long water waves, with vorticity, over variable depth, with applications to tsunamis
cites work: Geodesic flow on the diffeomorphism group of the circle
cites work: On geodesic exponential maps of the Virasoro group
cites work: The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
cites work: A shallow water equation on the circle
cites work: Stability of the Camassa-Holm solitons
cites work: Exact steady periodic water waves with vorticity
cites work: Stability properties of steady water waves with vorticity
cites work: Rotational steady water waves near stagnation
cites work: Surface water waves and tsunamis
cites work: Non–existence of solitary water waves in three dimensions
cites work: Symmetry of solitary waves
cites work: Q3994822
cites work: Exponential decay of H 1 -localized solutions and stability of the train of N solitary waves for the Camassa–Holm equation
cites work: A derivation of equations for wave propagation in water of variable depth
cites work: Solitary waves propagating over variable topography
cites work: A note on tsunamis: their generation and propagation in an ocean of uniform depth
cites work: The Korteweg-de Vries equation and water waves. Part 3. Oscillatory waves
cites work: Variable depth KdV equations and generalizations to more nonlinear regimes
cites work: A Modern Introduction to the Mathematical Theory of Water Waves
cites work: Integrable Nonlinear Wave Equations and Possible Connections to Tsunami Dynamics
cites work: Q4154221
cites work: On the stability of KdV multi‐solitons
cites work: Description of the inelastic collision of two solitary waves for the BBM equation
cites work: Nonlinear evolutions of surface gravity waves on fluid of finite depth
cites work: Euler operators and conservation laws of the BBM equation
cites work: Q5443349
cites work: Q5488747
cites work: Q3536019
cites work: Waves in shallow water, with emphasis on the tsunami of 2004
cites work: Q4304308
cites work: Q3804332
DOI: 10.1016/J.WAVEMOTI.2009.05.002
description: scientific article; zbMATH DE number 6005360