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Advances in Mathematical Physics
Volume 2015, Article ID 126508, 7 pages
Research Article

()-Dimensional mKdV Hierarchy and Chirp Effect of Rossby Solitary Waves

1College of Mathematics and Systems Science, Beihang University, Beijing 100083, China
2College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China
3Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China
4Key Laboratory of Ocean Circulation and Wave, Chinese Academy of Sciences, Qingdao 266071, China

Received 30 January 2015; Revised 17 April 2015; Accepted 17 April 2015

Academic Editor: Boris G. Konopelchenko

Copyright © 2015 Chunlei Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


By constructing a kind of generalized Lie algebra, based on generalized Tu scheme, a new ()-dimensional mKdV hierarchy is derived which popularizes the results of ()-dimensional integrable system. Furthermore, the ()-dimensional mKdV equation can be applied to describe the propagation of the Rossby solitary waves in the plane of ocean and atmosphere, which is different from the ()-dimensional mKdV equation. By virtue of Riccati equation, some solutions of ()-dimensional mKdV equation are obtained. With the help of solitary wave solutions, similar to the fiber soliton communication, the chirp effect of Rossby solitary waves is discussed and some conclusions are given.