Damping of Solitary Waves
- 1 June 1970
- journal article
- Published by AIP Publishing in Physics of Fluids
- Vol. 13 (6), 1432-1434
- https://doi.org/10.1063/1.1693097
Abstract
The Korteweg‐de Vries equation is modified to include energy dissipation. In the cases treated the dissipative term is the Fourier transform of the linear damping. The effect of a small amount of such dissipation on the time evolution of a solitary wave is obtained.Keywords
This publication has 4 references indexed in Scilit:
- Nonlinear Theory of Ion Acoustic Waves with Landau DampingPhysics of Fluids, 1969
- Propagation of Ion-Acoustic Solitary Waves of Small AmplitudePhysical Review Letters, 1966
- The structure of strong collision-free hydromagnetic wavesPhilosophical Magazine, 1958
- XLI. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary wavesJournal of Computers in Education, 1895