A general theory for equivalent barotropic thin jets

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Abstract

The so-called thin-jet approximation, in which variations along the jet axis are assumed gradual in comparison with variations normal to the axis, allows the calculations of along- and cross-axis structures to be decoupled. The result is a nonlinear equation, with one lesser spatial dimension, governing the meandering of the jet. Here a new such "path equation' is constructed in the context of a one-layer, reduced-gravity model. After a brief comparison with previous path equations, analytical solutions of the new equation are explored, including solitons and other exact nonlinear wave forms. The presentation concludes with numerical experiments and a brief application to the Gulf Stream. -from Authors

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Cushman-Roisin, B., Pratt, L., & Ralph, E. (1993). A general theory for equivalent barotropic thin jets. Journal of Physical Oceanography, 23(1), 91–103. https://doi.org/10.1175/1520-0485(1993)023<0091:AGTFEB>2.0.CO;2

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