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On the dynamics of internal waves interacting with the equatorial undercurrent

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arxiv 1510.04096 v1 pith:VEX3W5FB submitted 2015-10-14 math-ph math.MPphysics.flu-dynphysics.geo-ph

classification math-phmath.MPphysics.flu-dynphysics.geo-ph
keywords currentinternalmotionequatorialundercurrentvorticitywavewaves
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The interaction of the nonlinear internal waves with a nonuniform current with a specific form, characteristic for the equatorial undercurrent, is studied. The current has no vorticity in the layer, where the internal wave motion takes place. We show that the nonzero vorticity that might be occuring in other layers of the current does not affect the wave motion. The equations of motion are formulated as a Hamiltonian system.

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Cited by 1 Pith paper

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  1. Modelling intermediate internal waves with currents and variable bottom

    nlin.PS 2025-06 conditional novelty 6.0 of 10

    A new asymptotic model, the variable-coefficient Intermediate Long Wave Equation, is derived for interfacial waves with shear currents and a slowly varying bottom, with higher-order corrections and a critical-depth condition.

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