期刊
ADVANCES IN DIFFERENCE EQUATIONS
卷 -, 期 -, 页码 -出版社
SPRINGER
DOI: 10.1186/s13662-018-1768-7
关键词
Rossby wave; Dissipation effect; Lie symmetry
资金
- National Natural Science Foundation of China [41576023]
- Nature Science Foundation of Shandong Province of China [ZR2018MA017]
- China Postdoctoral Science Foundation [2017M610436]
Rossby waves, belonging to the most important waves in the atmosphere and ocean, can affect the energy transfer of the atmosphere and ocean and have significant theoretical meaning and research value. In previous research performed with the theory and calculation method limit, the dissipation effect was commonly ignored. However, under the conditions of the weak linear approximation, the magnitude difference between nonlinear and dissipation is small, and the dissipation effect must be considered. In this paper, based on the classic Lie group approach, the (3 + 1)-dimensional quasi-geodetiophic vorticity equation with dissipation effect is solved. With the help of the solutions, we can better comprehend the influence of the dissipation effect on the propagation of Rossby waves.
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