Blow-up analysis for a periodic two-component μ-Hunter–Saxton system

Yunxi Guo1, Tingjian Xiong2
1School of Mathematics, Zunyi Normal University, Zunyi, China
2Department of Applied Mathematics, Sichuan University of Science and Engineering, Zigong, China

Tóm tắt

The two-component μ-Hunter–Saxton system is considered in the spatially periodic setting. Firstly, two wave-breaking criteria are derived by employing the transport equation theory and the localization analysis method. Secondly, a sufficient condition of the blow-up solutions is established by using the classic method. The results obtained in this paper are new and different from those in previous works.

Từ khóa


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