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In this paper, persistence properties of solutions are investigated for a 4-parameter family (k−abc equation) of evolution equations having (k+1)-degree nonlinearities and containing as its integrable members the Camassa–Holm, the Degasperis–Procesi, Novikov and Fokas–Olver–Rosenau–Qiao equations. These properties will imply that strong solutions of the k−abc equation will decay at infinity in the...
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