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Equatorially trapped nonlinear water waves in a $\unicode[STIX]{x1D6FD}$ -plane approximation with centripetal forces

  • David Henry (a1)


In this paper we present an exact and explicit nonlinear solution of a $\unicode[STIX]{x1D6FD}$ -plane approximation to the governing equations which retains all Coriolis terms. The solution represents an equatorially trapped wave propagating in the presence of a constant underlying background current. In particular, we show that retention of the (relatively) small-scale centripetal forces in the governing equations enables us to admit currents of any physically plausible magnitude in the background flow.


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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
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