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\title{Multilayer shallow water modeling of equatorially trapped~wave in a
stratified region in the Earth's outer core~~~~}



\author[1]{Dheeraj Kumar Sharma}%
\author[1]{Swarandeep Sahoo }%
\affil[1]{Affiliation not available}%


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  \date{May 21, 2024}


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The short period fluctuations of the geomagnetic field observed in the
secular acceleration have a strong presence near the equatorial region
of the Earth. Origin of such fluctuations is believed to be the
equatorially confined waves below the core-mantle boundary in the fluid
outer core. The state of the outer core, being in a balance between the
magnetic, Coriolis and buoyancy forces, can lead to the generation of
such waves if a stably stratified layer exists in the outermost regions
of the core. In this study, a shallow water magnetohydrodynamical model
is used to investigate the characteristics of such equatorially trapped
waves with a multilayered stratification and background magnetic field.
A two-layer model is implemented to study the effects of radially
varying background magnetic fields on the equatorially confined waves.
Analytical derivation of the dispersion relation and numerical solutions
have been performed to characterise these waves.The role of change in
buoyancy frequency across the two layers in modifying the equatorially
trapped waves is investigated.

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