Solitary-wave collisions

Joseph Hammack, Diane Marie Henderson, Philippe Guyenne, Ming Yi

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

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 languageEnglish (US)
Title of host publicationAdvances in Engineering Mechanics Reflections and Outlooks
Subtitle of host publicationIn Honor of Theodore Y-T Wu
PublisherWorld Scientific Publishing Co.
Pages173-194
Number of pages22
ISBN (Electronic)9789812702128
ISBN (Print)9812561447, 9789812561442
DOIs
StatePublished - Jan 1 2005

Fingerprint

Solitons
Euler equations
Mathematical models
Water
Experiments

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Hammack, J., Henderson, D. M., Guyenne, P., & Yi, M. (2005). Solitary-wave collisions. In Advances in Engineering Mechanics Reflections and Outlooks: In Honor of Theodore Y-T Wu (pp. 173-194). World Scientific Publishing Co.. https://doi.org/10.1142/9789812702128_0013
Hammack, Joseph ; Henderson, Diane Marie ; Guyenne, Philippe ; Yi, Ming. / Solitary-wave collisions. Advances in Engineering Mechanics Reflections and Outlooks: In Honor of Theodore Y-T Wu. World Scientific Publishing Co., 2005. pp. 173-194
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Hammack, J, Henderson, DM, Guyenne, P & Yi, M 2005, Solitary-wave collisions. in Advances in Engineering Mechanics Reflections and Outlooks: In Honor of Theodore Y-T Wu. World Scientific Publishing Co., pp. 173-194. https://doi.org/10.1142/9789812702128_0013

Solitary-wave collisions. / Hammack, Joseph; Henderson, Diane Marie; Guyenne, Philippe; Yi, Ming.

Advances in Engineering Mechanics Reflections and Outlooks: In Honor of Theodore Y-T Wu. World Scientific Publishing Co., 2005. p. 173-194.

Research output: Chapter in Book/Report/Conference proceedingChapter

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Hammack J, Henderson DM, Guyenne P, Yi M. Solitary-wave collisions. In Advances in Engineering Mechanics Reflections and Outlooks: In Honor of Theodore Y-T Wu. World Scientific Publishing Co. 2005. p. 173-194 https://doi.org/10.1142/9789812702128_0013