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Effects of scalar nonlinearity on the generation of zonal flow by Rossby waves in shallow rotating fluid are considered. Zonal flows are generated via the action of Reynolds stress due to vector nonlinearity together with the effects of scalar nonlinearity. It is shown that the scalar nonlinearity reduces the amplitude threshold of the zonal flow instability. In addition, it increases the range of...
Nonlinear equations for internal gravity waves in the atmosphere in the presence of the inhomogeneous wind velocity leading to the wave collapse are derived. In frameworks of the WKB-solutions justified right up to the collapse point the cubic nonlinearity at the fundamental wave frequency is found. It is shown that the nonlinearity results in displacement of the collapse before the linear collapse...
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