Nonlinear wave Packets of Equatorial Kelvin Waves |
| |
Authors: | Guan-yu Chen John P Boyd |
| |
Institution: | 1. Institute of Transportation (IOT) , Wuchi, Taichung, 435, Taiwan;2. Department of Atmospheric, Oceanic and Space Science and Laboratory for Scientific Computation , University of Michigan , 2455 Hayward Avenue, Ann Arbor, MI, 48109, USA |
| |
Abstract: | The weakly nonlinear dynamics of packets of equatorial Kelvin waves is studied using singular perturbation theory applied to the shallow water wave equations. Within the limits of the perturbation theory, which is formally restricted to weak mean shear and weak nonlinearity, we derive a Nonlinear Schroedinger equation to describe the envelope of the wave packet. We find that nonlinearity has a defocusing effect so that coherent wave packets must owe their existence entirely to the generation mechanism rather than to nonlinear focusing of a broad initial disturbance. |
| |
Keywords: | Equatorial Kelvin Nonlinear Waves Wavepacket |
|
|