Open AccessAn exact solution for equatorially trapped waves
Author(s) -
Constantin Adrian
Publication year - 2012
Publication title -
journal of geophysical research: oceans
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.67
H-Index - 298
eISSN - 2156-2202
pISSN - 0148-0227
DOI - 10.1029/2012jc007879
Subject(s) - inviscid flow , equator , exact solutions in general relativity , nonlinear system , physics , plane (geometry) , equatorial waves , lagrangian , geophysics , classical mechanics , kelvin wave , mechanics , geology , geometry , meteorology , mathematics , mathematical physics , latitude , quantum mechanics , astronomy
We present an exact solution of the nonlinear governing equations for geophysical water waves in the β ‐plane approximation near the Equator. The solution describes in the Lagrangian framework equatorially trapped waves propagating eastward in a stratified inviscid fluid.