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Three-dimensional internal waves in the lower atmosphere

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HY2W01 - Modulation theory and dispersive shock waves

There are many observations of cloud patterns for the three-dimensional internal waves in the lower atmosphere, which are modelled by the two-dimensional Benjamin-Ono (2DBO) equation with initially truncated and bent line solitary waves. The Whitham modulation theory is employed, and the analytical results are confirmed numerically. Sometimes, when the variation in the transverse direction is not weak, the 2DBO model has to be generalized to the isotropic situation. We further propose the Benjamin-Ono-Benney-Luke equation to describe these wave phenomena.

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