Local-in-space blow-up and symmetric waves for a generalized two-component Camassa–Holm system

Shaojie Yang and Tianzhou Xu

Applied Mathematics and Computation, 2019, vol. 347, issue C, 514-521

Abstract: In this paper, we consider a generalized two-component Camassa–Holm system, which can be derived from the theory of shallow water waves moving over a linear shear flow. We establish the new local-in-space blow-up criteria simplifying and extending the earlier blow-up criteria for the system. In particular, we show that symmetric water waves for the system are traveling waves.

Keywords: Generalized two-component Camassa–Holm system; Local-in-space blow-up; Symmetric waves; Traveling waves (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:347:y:2019:i:c:p:514-521

DOI: 10.1016/j.amc.2018.10.032

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