Conditions for the Existence of Shock-Like Solutions of Korteweg-De Vries Equation with Dissipation
- 1 May 1971
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 14 (5) , 1033-1035
- https://doi.org/10.1063/1.1693538
Abstract
Necessary conditions on dissipative operators for the existence of shock‐like solutions of the Korteweg‐de Vries equation, which limit the damping tolerable at long wavelengths are derived.Keywords
This publication has 3 references indexed in Scilit:
- Damping of Solitary WavesPhysics of Fluids, 1970
- Nonlinear Theory of Ion Acoustic Waves with Landau DampingPhysics of Fluids, 1969
- Propagation of Ion-Acoustic Solitary Waves of Small AmplitudePhysical Review Letters, 1966