Head-on collision between two hydroelastic solitary waves in shallow water
type: Item
instance of: scholarly article
title: Head-on collision between two hydroelastic solitary waves in shallow water
zbMATH Open document ID: 1394.35346
author: M. M. Bhatti
author: Dong-Qiang Lu
published in: Qualitative Theory of Dynamical Systems
publication date: 2018-06-20T00:00:00Z
review text: A comprehensive theoretical study on the head-on collision between two solitary waves in a thin elastic plate floating on an inviscid fluid of finite depth is investigated analytically by means of a singular perturbation method. The effects of plate compression are also taken into account. It is found that after collision, both the hydroelastic solitary waves preserves their original shape and positions. However a collision does have imprints on colliding waves with non-uniform phase shift up to the third order which creates tilting in the wave profile. Maximum run-up amplitude, wave speed, phase shift and distortion profile have also been calculated and plotted for two colliding solitary waves.
reviewed by: Dongbing Zha
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35Q74
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 76B25
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 35B25
zbMATH DE Number: 6891600
zbMATH Keywords: head-on collision
zbMATH Keywords: solitary waves
zbMATH Keywords: thin elastic plate
zbMATH Keywords: perturbation solutions
zbMATH Keywords: compressive force
MaRDI profile type: Publication
full work available at URL: s12346-017-0263-y
OpenAlex ID: W2773068337
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DOI: 10.1007/S12346-017-0263-Y
description: scientific article; zbMATH DE number 6891600