Solitary-wave collisions

Joseph Hammack; Diane Henderson; Philippe Guyenne; Ming Yi

doi:10.1142/9789812702128_0013

Solitary-wave collisions

Joseph Hammack, Diane Henderson, Philippe Guyenne, Ming Yi

Research output: Chapter in Book/Report/Conference proceeding › Chapter

7 Scopus citations

Abstract

Experimental and theoretical results are presented for binary collisions between co-propagating and counter-propagating solitary waves. The experiments provide high-resolution measurements of water surface profiles at fixed times, thereby enabling direct comparisons with predictions by a variety of mathematical models. These models include the 2-soliton solution of the Korteweg-deVries equation, numerical solutions of the Euler equations, and linear superposition of KdV solitons.

Original language	English (US)
Title of host publication	Advances in Engineering Mechanics Reflections and Outlooks
Subtitle of host publication	In Honor of Theodore Y-T Wu
Publisher	World Scientific Publishing Co.
Pages	173-194
Number of pages	22
ISBN (Electronic)	9789812702128
ISBN (Print)	9812561447, 9789812561442
DOIs	https://doi.org/10.1142/9789812702128_0013
State	Published - Jan 1 2005

All Science Journal Classification (ASJC) codes

General Engineering

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10.1142/9789812702128_0013

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AB - Experimental and theoretical results are presented for binary collisions between co-propagating and counter-propagating solitary waves. The experiments provide high-resolution measurements of water surface profiles at fixed times, thereby enabling direct comparisons with predictions by a variety of mathematical models. These models include the 2-soliton solution of the Korteweg-deVries equation, numerical solutions of the Euler equations, and linear superposition of KdV solitons.

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ER -

Solitary-wave collisions

Abstract

All Science Journal Classification (ASJC) codes

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