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Weak turbulence of short equatorial waves

Authors
Journal
Physics Letters A
0375-9601
Publisher
Elsevier
Publication Date
Volume
342
Issue
3
Identifiers
DOI: 10.1016/j.physleta.2005.05.046
Keywords
  • Nonlinear Science

Abstract

Abstract We derive a normal form of nonlinear equations for short equatorial waves considered in the framework of the rotating shallow water model. We show dynamical splitting of equatorial Rossby and inertia-gravity waves. We derive an effective Hamiltonian for the short inertia-gravity waves and consider their kinetics using the weak turbulence approach. Stationary power-law energy spectra are obtained. They have different slopes for eastward and westward propagating waves due to the fact that resonant triads of inertia-gravity waves exist only in specific regions of the phase-space.

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