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Published May 2, 1978 | public
Journal Article

A Numerical and Theoretical Study of Certain Nonlinear Wave Phenomena

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

Created:
August 19, 2023
Modified:
October 20, 2023