Abstract
In this paper, we focus on the Cauchy problem for the modified Camassa-Holm-Novikov equation with an additional weakly dissipative term. We will investigate 3 aspects. First, we present some key facts about local well-posedness and blow-up criteria. Second, the wave-breaking phenomenon will be ensured by displaying some conditions related to the initial data. Then we present some results about the wave breaking criteria. We finally explore the global existence problem.
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