Similarity Reductions of Barotropic and Quasi-geostrophic
Potential Vorticity Equation |
| |
Authors: | HUANG Fei |
| |
Institution: | Laboratory of Physical Oceanography, Ocean University of
China, Qingdao 266003, China |
| |
Abstract: | The (2+1)-dimensional nonlinear barotropic and quasi-geostrophic
potential vorticity equation without forcing and dissipation on a
beta-plane channel is investigated by using the classical Lie
symmetry approach. Some types of group-invariant wave solutions
are expressed by means of the lower-dimensional similarity
reduction equations. In addition to the known periodic Rossby wave
solutions, some new types of exact solutions such as the ring
solitary waves and the breaking soliton type of vorticity
solutions with nonlinear and nonconstant shears are also obtained. |
| |
Keywords: | similarity reductions potential vorticity equation Rossby waves ring solitary waves breaking solitary solutions |
本文献已被 维普 等数据库收录! |
| 点击此处可从《理论物理通讯》浏览原始摘要信息 |
| 点击此处可从《理论物理通讯》下载免费的PDF全文 |
|