Nonlinear wave Packets of Equatorial Kelvin Waves

Details Nonlinear wave Packets of Equatorial Kelvin Waves Nonlinear wave Packets of Equatorial Kelvin Waves

May 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002gapfd..96..357c&link_type=abstract

Geophysical and Astrophysical Fluid Dynamics, vol. 96, Issue 5, p.357-379

Physics

Fluid Dynamics

3

Scientific paper

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.

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