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A Numerical and Theoretical Study of Certain Nonlinear Wave Phenomena

Fornberg, B. and Whitham, G. B. (1978) A Numerical and Theoretical Study of Certain Nonlinear Wave Phenomena. Philosophical transactions of the Royal Society of London. Series A: Mathematical and physical sciences, 289 (1361). pp. 373-404. ISSN 0080-4614. https://resolver.caltech.edu/CaltechAUTHORS:20150211-153521120

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Abstract

An efficient numerical method is developed for solving nonlinear wave equations typified by the Korteweg-de Vries equation and its generalizations. The method uses a pseudospectral (Fourier transform) treatment of the space dependence together with a leap-frog scheme in time. It is combined with theoretical discussions in the study of a variety of problems including solitary wave interactions, wave breaking, the resolution of initial steps and wells, and the development of nonlinear wavetrain instabilities.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1098/rsta.1978.0064DOIArticle
http://rsta.royalsocietypublishing.org/content/289/1361/373PublisherArticle
http://www.jstor.org/stable/74968JSTORArticle
Additional Information:© 1978 Royal Society. Received 30 August 1977. This research was supported by the Office of Naval Research, U.S. Navy and by E.R.D.A. (Grant 04-3-767).
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR)UNSPECIFIED
Energy Research and Development Administration (ERDA)04-3-767
Issue or Number:1361
Record Number:CaltechAUTHORS:20150211-153521120
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20150211-153521120
Official Citation:A Numerical and Theoretical Study of Certain Nonlinear Wave Phenomena B. Fornberg, G. B. Whitham Phil. Trans. R. Soc. Lond. A: 1978 289 373-404; DOI: 10.1098/rsta.1978.0064. Published 2 May 1978
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:54746
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:11 Feb 2015 23:51
Last Modified:03 Oct 2019 08:00

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