| Abstract: |
| The present paper demonstrates the rigorously convergence from the Green-Naghdi (R-GN) system incorporating Coriolis effects to two counter-propagating wave packets governed by distinct rotational Camassa-Holm (R-CH) equations within the Camassa-Holm framework. The crucial observation is the construction of appropriate approximation functions to precisely characterize the nonlinear interaction dynamics between these bidirectional wave components. This mathematical framework extends the Camassa-Holm paradigm to rotational flows through careful modulation of wave dispersion and Coriolis coupling effects. |
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