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Blow-up, global existence and persistence properties for the coupled Camassa-Holm equations. (English) Zbl 1245.35115
Summary: In this paper, we consider the coupled Camassa-Holm equations. First, we present some new criteria on blow-up. Then global existence and blow-up rate of the solution are also established. Finally, we discuss persistence properties of this system.
MSC:
35Q53KdV-like (Korteweg-de Vries) equations
35B44Blow-up (PDE)
35A01Existence problems for PDE: global existence, local existence, non-existence
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