Some properties for the fifth-order Camassa-Holm type equation
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Abstract
In this paper, we study several problems of the fifth-order Camassa-Holm type (FOCHT) equation. The local well-posedness and blow-up scenario are established at first. Then we prove the global existence under some conditions and analyze the large-time behavior of the support of momentum density. Finally, we discuss the persistence property in Sobolev space.
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