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Blow up and Blow-up rate for the generalized 2-component Camassa-Holm equation. (English) Zbl 1260.35178

Summary: We investigate the local well-posedness for the generalized weakly dissipative 2-component Camassa-Holm system. We also derive a blow-up mechanism for strong solutions. In addition, we determine the exact blow-up rate of such solutions to the system.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35B44 Blow-up in context of PDEs
35D35 Strong solutions to PDEs
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