A note on solitary waves along potential vorticity fronts on anf-plane |
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Authors: | Ping Chang |
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Affiliation: | (1) Department of Oceanography, Texas A&M University, 77843 College Station, Texas, USA |
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Abstract: | The effects of short waves on the propagration of velocity discontinuity along the interface of two uniform potential vorticity, zones on anf-plane is examined. It is shown, using a multiple scale analysis, that the dispersion introduced by the short waves can balance the nonlinear steepening effects predicted by the semigeostrophic theory. The time evolution of a shear disturbance along the front is governed by a Korteweg-de Vries equation. Numerical solutions of the solitary waves along the front are presented. |
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