Recurrence of initial state of the Korteweg–de Vries equation
- 1 September 1979
- journal article
- Published by AIP Publishing in Physics of Fluids
- Vol. 22 (9) , 1644-1646
- https://doi.org/10.1063/1.862824
Abstract
The Korteweg–de Vries equation is solved numerically by using the Fourier expansion method to clarify the recurrence of the initial state. A sufficiently accurate solution valid for large times as well as for small times is obtained. The solution does not show a clear recurrence.Keywords
This publication has 3 references indexed in Scilit:
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- The application of the spectral method to nonlinear wave propagationJournal of Computational Physics, 1976
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial StatesPhysical Review Letters, 1965