Open AccessEquatorial Rossby envelope solitary waves with β effect in a shear flow
Author(s) -
Jian Song,
Jiang Nan,
Liangui Yang
Publication year - 2011
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.60.024701
Subject(s) - rossby wave , physics , equatorial waves , shear flow , rossby number , nonlinear system , rossby radius of deformation , envelope (radar) , amplitude , zonal flow (plasma) , mechanics , shear (geology) , classical mechanics , geophysics , geology , atmospheric sciences , equator , optics , plasma , turbulence , quantum mechanics , telecommunications , radar , astronomy , tokamak , latitude , petrology , computer science
With a simple model of shallow-water on an equatorial beta plane, the nonlinear equatorial Rossby waves in a shear flow with beta effect are investigated by the asymptotic method of multiple scales. The nonlinear Schrdinger equation, satisfied by large amplitude Rossby envelope solitary waves in shear basic flow with beta effect, is derived. The effects of basic flow shear and beta effect on the nonlinear equatorial Rossby waves are also analyzed.