Force solitary Rossby waves with beta effect and topography effect in stratified flows

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Abstract

层结流体中，从绝热位涡的扰动方程出发采用摄动方法和时空伸长变换推导了具有β效应和地形效应的强迫Rossby孤立波方程，得到孤立Rossby波振幅的演变满足带有地形强迫的非齐次mKdV方程的结论. 通过分析孤立Rossby波振幅的演变,即使基本气流没有切变，仍可能激发出Rossby孤立波.指出了科氏力效应、地形效应以及Vaisala-Brunt频率都是诱导Rossby孤立波产生的重要因素，说明了在地形强迫效应和非线性作用相平衡的假定下，Rossby孤立波振幅的演变满足非齐次的mKdV方程.讨论

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