|
|||||
|
|
Analytical investigation of Rossby waves in atmospheric dynamics |
|
| Authors: | Fei Huang S. Y. Lou |
| Affiliation: | a Department of Marine Meteorology, Ocean University of China, Qingdao 266003, PR, China b School of Mathematics, The University of New South Wales, Sydney, NSW 2052, Australia c Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, PR, China d Department of Physics, Ningbo University, Ningbo 315211, PR, China |
| Abstract: | The (2+1)-dimensional nonlinear inviscid barotropic nondivergent vorticity equation in a beta-plane is analyzed by using the classical Lie group approach. Using the group theory, some types of general exact Rossby wave solutions can be obtained whence a special Rossby wave solution is known. Especially, it is found that the only effect of the time-dependent background basic wind on the Rossby waves is the accumulate motion in the zonal direction. Some types of exact explicit similarity Rossby wave solutions with both nonconstant linear and nonlinear shears are also given. |
| Keywords: | Author Keywords: Rossby waves Atmospheric dynamics Group invariant solutions |
| 本文献已被 ScienceDirect 等数据库收录！ | |