| Abstract: |
| This study employs a systematic asymptotic expansion method to derive a two-dimensional nonlocal model for shallow water wave propagation from the full hydrodynamic governing equations. The local well-posedness of the resulting higher-order two-dimensional extension of the Camassa-Holm type equation is established in a suitably constructed Sobolev-type space, and the blow-up criterion as well as peaked solitary-wave solutions are also considered. |
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