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Blow-up, Global Existence and Persistence Properties for the Coupled Camassa–Holm equations

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Abstract

In this paper, we consider the coupled Camassa–Holm equations. First, we present some new criteria on blow-up. Then global existence and blow-up rate of the solution are also established. Finally, we discuss persistence properties of this system.

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, Zhejiang, People’s Republic of China

    Mingxuan Zhu

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  1. Mingxuan Zhu
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Correspondence to Mingxuan Zhu.

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Zhu, M. Blow-up, Global Existence and Persistence Properties for the Coupled Camassa–Holm equations. Math Phys Anal Geom 14, 197–209 (2011). https://doi.org/10.1007/s11040-011-9094-2

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  • DOI: https://doi.org/10.1007/s11040-011-9094-2

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