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. doi:10.1098/rsta.1978.0064. 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 | ||||||||||||
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| 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). | ||||||||||||
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| Issue or Number: | 1361 | ||||||||||||
| DOI: | 10.1098/rsta.1978.0064 | ||||||||||||
| 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: | 10 Nov 2021 20:37 |
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