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Some New Aspects of the Joint Effect of Rotation and Topography on Internal Solitary Waves

机译:旋转和形貌对内部孤立波的联合影响的一些新方面

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Using a recently developed asymptotic theory of internal solitary wave propagation over a sloping bottom in a rotating ocean, some new qualitative and quantitative features of this process are analyzed for internal waves in a two-layer ocean. The interplay between different singularities-terminal damping due to radiation and disappearing quadratic nonlinearity, and reaching an "internal beach" (e.g., zero lower-layer depth)-is discussed. Examples of the adiabatic evolution of a single solitary wave over a uniformly sloping bottom under realistic conditions are considered in more detail and compared with numerical solutions of the variable-coefficient, rotation-modified Korteweg-de Vries (rKdV) equation.
机译:使用最近发展的内部孤立波在旋转海洋中在倾斜底部传播的渐近理论,针对两层海洋中的内部波分析了该过程的一些新的定性和定量特征。讨论了不同的奇异性之间的相互作用-由于辐射引起的终端阻尼和消失的二次非线性,并达到“内部海滩”(例如,下层深度为零)。在现实条件下,在均匀倾斜的底部上单个孤立波的绝热演化的例子被更详细地考虑,并与变系数,旋转修正的Korteweg-de Vries(rKdV)方程的数值解进行了比较。

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