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On the rotation-two-component $b$-family shallow-water system: derivation and wave-breaking analysis
In this paper, we derive the rotation-two-component $b$-family shallow-water wave system from the Green--Naghdi type equations incorporating the effects of the Coriolis force and constant vorticity. The system admits, among its special cases, the two-component Degasperis--Procesi (2DP) system as a r
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