Published May 2, 1978
| public
Journal Article
A Numerical and Theoretical Study of Certain Nonlinear Wave Phenomena
- Creators
- Fornberg, B.
- Whitham, G. B.
Chicago
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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.
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).Additional details
- Eprint ID
- 54746
- Resolver ID
- CaltechAUTHORS:20150211-153521120
- Office of Naval Research (ONR)
- Energy Research and Development Administration (ERDA)
- 04-3-767
- Created
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2015-02-11Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field