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从准地转位涡方程出发，采用摄动方法和时空伸长变换推导了在缓变下垫面和耗散共同作用的Rossby代数孤立波方程，得到Rossby波振幅满足带有缓变下垫面的非齐次Benjamin-Davis-Ono-Burgers（BDO-Burgers）方程的结论. 指出地形效应和耗散是诱导非线性Rossby 波产生的重要因素，说明了在缓变下垫面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BDO-Burgers方程，给出在切变基本气流下缓变下垫面和正压流体中Rossby波的相互作用.
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关键词:
- 非齐次BDO-Burgers方程 /
- 缓变下垫面 /
- 耗散
An inhomogeneous Benjamin-Davis-Ono-Burgers (BDO-Burgers) equation including underlying surface, slowly changing underlying surface and turbulent dissipation is derived in terms of quasi-geostrophic vorticity equation by employing the singular perturbation method. An inhomogeneous BDO-Burgers equation describing the evolution of the amplitude of solitary Rossby waves is investigated.
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中国物理学会期刊
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