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Wave breaking for a generalized periodic two-component Hunter-Saxton equation with weak dissipation

Wenbin Zhang, Minggang Wang, Jiangbo Zhou

Abstract


In this paper we study a generalized periodic two-component Hunter-Saxton system with weak dissipation. We show that this new system can exhibit the wave-breaking phenomenon. We also determine the exact blow-up rate of such solutions.

Keywords


Two-component Hunter-Saxton equation, Blow-up, Weak dissipation.

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