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Blow-up criteria of solutions to a modified two-component Camassa-Holm system. (English) Zbl 1231.35200

Summary: We consider a modified two-component Camassa-Holm (MCH2) system which arises in shallow water theory. We analyze the wave breaking mechanism by establishing some new blow-up criteria for this system formulated either on the line or with space-periodic initial condition.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35B44 Blow-up in context of PDEs
35Q35 PDEs in connection with fluid mechanics
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