A simple shallow-water model with influence of external forcing on a beta-plane is applied to investigate the nonlinear equatorial Rossby waves in a shear flow. By the perturbation method, the extended variable-coefficient KdV equation under an external forcing is derived for large amplitude equatorial Rossby wave in a shear flow. And then various periodic-like structures for these equatorial Rossby waves are obtained with the help of Jacobi elliptic functions. It is shown that the external forcing plays an important role in various periodic-like structures.
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Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China
Inner Mongolia Agr Univ, Coll Sci, Hohhot 010018, Peoples R ChinaInner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China
Yin, Xiao-Jun
Yang, Lian-Gui
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Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R ChinaInner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China
Yang, Lian-Gui
Liu, Quan-Sheng
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Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R ChinaInner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China
Liu, Quan-Sheng
Su, Jin-Mei
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Inner Mongolia Agr Univ, Coll Sci, Hohhot 010018, Peoples R ChinaInner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China
Su, Jin-Mei
Wu, Guo-rong
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Inner Mongolia Agr Univ, Coll Sci, Hohhot 010018, Peoples R ChinaInner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China