Modified KdV equation for solitary Rossby waves with $\beta$ effect in barotropic fluids
Song Jian(宋健)a)† and Yang Lian-Gui(杨联贵)b)
a College of Sciences, Inner Mongolia University of Technology, Hohhot 010051, China; b College of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China
Abstract This paper uses the weakly nonlinear method and perturbation method to deal with the quasi-geostrophic vorticity equation, and the modified Korteweg-de Vries(mKdV) equations describing the evolution of the amplitude of solitary Rossby waves as the change of Rossby parameter $\beta(y)$ with latitude $y$ is obtained.
Received: 02 December 2008
Revised: 19 December 2008
Accepted manuscript online:
Fund: Project supported by the
Educational Department of Inner Mongolia (NJZY: 08005) and Open Fund
of the Key Laboratory of Ocean Circulation and Waves, Chinese
Academy of Sciences (Grant No
KLOCAW0805).
Cite this article:
Song Jian(宋健) and Yang Lian-Gui(杨联贵) Modified KdV equation for solitary Rossby waves with $\beta$ effect in barotropic fluids 2009 Chin. Phys. B 18 2873
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