Monatshefte für Mathematik

, Volume 176, Issue 1, pp 143–152 | Cite as

An exact solution for equatorial waves

Article

Abstract

This study presents an explicit exact solution for nonlinear geophysical equatorial waves in the \(f\)-plane approximation near the Equator. The solution describes in the Lagrangian framework equatorial waves propagating westward in a homogenous inviscid fluid.

Keywords

Nonlinear geophysical wave Free boundary Exact solution 

Mathematics Subject Classification

76B55 86A05 76E30 

Notes

Acknowledgments

The author would like to acknowledge the insightful critiquing of the two referees. The author acknowledges the support of the International Wave Dynamics Research Center in Taiwan (NSC 103-2911-I-006-302).

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Copyright information

© Springer-Verlag Wien 2014

Authors and Affiliations

  1. 1.Tainan Hydraulics LaboratoryNational Cheng Kung UniversityTainan Taiwan

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