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Zeitschrift für Analysis und ihre Anwendungen


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Volume 38, Issue 4, 2019, pp. 475–482
DOI: 10.4171/ZAA/1646

Published online: 2019-10-23

Blow-Up Phenomena for the Periodic Two-Component Degasperis–Procesi System

Xingxing Liu[1]

(1) China University of Mining and Technology, Xuzhou, China

In this paper, we present a new wave-breaking criteria for the spatially periodic two-component Degasperis–Procesi system. Such criterion can be easily applied to check that the earlier blow-up criteria to this system (on the line case) also hold.

Keywords: Two-component Degasperis–Procesi system, Lyapunov function, blowup phenomena

Liu Xingxing: Blow-Up Phenomena for the Periodic Two-Component Degasperis–Procesi System. Z. Anal. Anwend. 38 (2019), 475-482. doi: 10.4171/ZAA/1646