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Article

Generalization of Cauchy invariants for equatorial beta-plane flows

Three Lagrangian invariants are shown to exist for flows in the equatorial region in the β - plane approximation.

They extend the Cauchy invariants to a non-rotating fluid. The relationship between these generalized invariants

and the results following from Kelvin's and Ertel's theorems is ascertained. Explicit expressions of the invariants

for equatorially trapped waves and equatorial Gerstner waves are presented.