TY - JOUR
TI - Variable coefficient KdV system for the non-linear Rossby waves
AU - Zhao Bao-Jun
AU - Wang Jia-Xin
AU - Cheng Li
AU - Jiang Chen-Juan
JN - Thermal Science
PY - 2022
VL - 26
IS - 2
SP - 1123
EP - 1130
PT - Article
AB - The paper deals with a non-linear barotropic vorticity equation in a shear  flow, the model is applied to get the non-linear Rossby solitary wave with  the effects of topography and other external forcing. Basing on the  perturbation method, the variable coefficient KdV equation is derived for  Rossby waves. The periodic-like solution for the equation is obtained with  the help of Jacobi elliptic functions, the solitary solutions can also be  obtained in the limit case. The analysis indicates that the wave amplitude  and velocity will be related to the topography effect. It is also shown that  the external forcing plays an important role in evolution of the waves.