A numerical and theoretical study of certain nonlinear wave phenomena
Open Access
- 2 May 1978
- journal article
- Published by The Royal Society in Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
- Vol. 289 (1361) , 373-404
- https://doi.org/10.1098/rsta.1978.0064
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.Keywords
This publication has 1 reference indexed in Scilit:
- Resonant interactions between waves. The case of discrete oscillationsJournal of Fluid Mechanics, 1964