Krylov-Bogoliubov-Mitropolsky method for nonlinear wave modulation
- 1 August 1974
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 17 (8), 1617-1625
- https://doi.org/10.1063/1.1694942
Abstract
The Krylov‐Bogoliubov‐Mitropolsky perturbation method is applied to systems of nonlinear dispersive waves including plasma waves such as ion‐acoustic, magneto‐acoustic, and electron plasma waves. It is found that long time slow modulation of the complex wave amplitude can be described by the nonlinear Schrödinger equation for a very wide class of nonlinear dispersive waves.Keywords
This publication has 35 references indexed in Scilit:
- Second-harmonic resonance in the interaction of an air stream with capillary–gravity wavesJournal of Fluid Mechanics, 1973
- Third-harmonic resonance in the interaction of capillary and gravity wavesJournal of Fluid Mechanics, 1971
- Asymptotic Theory of Self-Trapping of Heat Pulses in SolidsPhysical Review Letters, 1970
- On Wilton's ripples: a special case of resonant interactionsJournal of Fluid Mechanics, 1970
- Self-Trapping and Instability of Hydromagnetic Waves Along the Magnetic Field in a Cold PlasmaPhysical Review Letters, 1968
- SELF-FOCUSING AND DIFFRACTION OF LIGHT IN A NONLINEAR MEDIUMSoviet Physics Uspekhi, 1968
- Propagation of Ion-Acoustic Solitary Waves of Small AmplitudePhysical Review Letters, 1966
- On the resonant excitation of plasma oscillations with laser beamsPhysica, 1965
- Resonant interactions among capillary-gravity wavesJournal of Fluid Mechanics, 1965
- Interactions between Light Waves in a Nonlinear DielectricPhysical Review B, 1962