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   Articles with "component camassa" as a keyword



Non-uniform continuity of the solution map to the rotation-two-component Camassa-Holm system

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recommendations! Published in 2020 at "Journal of Differential Equations"

DOI: 10.1016/j.jde.2019.10.021

Abstract: Abstract Studied in this paper is the rotation-two-component Camassa-Holm system, which can be considered as a model for the propagation of long-crested shallow-water waves in the equatorial ocean regions with the weak Coriolis effect due… read more here.

Keywords: component camassa; camassa holm; holm system; rotation ... See more keywords

Breaking waves and persistence property for a two-component Camassa–Holm system

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recommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2016.08.035

Abstract: Abstract In this paper, we study a two-component Camassa–Holm system modeling shallow water waves moving over a linear shear flow. Some new blow-up results and a persistence property in weighted L p space are established. read more here.

Keywords: component camassa; camassa holm; holm system; persistence property ... See more keywords

Local well-posedness in the critical Besov space and blow-up for an n-component Camassa–Holm system

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recommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2021.125423

Abstract: Abstract In this paper, the Cauchy problem of an n-component Camassa–Holm system is considered. The local well-posedness in the critical Besov space ( B 2 , 1 3 2 ) n is established, and it… read more here.

Keywords: camassa holm; system; component camassa; holm system ... See more keywords

Generalized Nonlocal Symmetries of Two-Component Camassa-Holm and Hunter-Saxton Systems

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recommendations! Published in 2022 at "Symmetry"

DOI: 10.3390/sym14030528

Abstract: The two-component Camassa–Holm system and two-component Hunter–Saxton system are completely integrable models. In this paper, it is shown that these systems admit nonlocal symmetries by their geometric integrability. As an application, we obtain the recursion… read more here.

Keywords: camassa holm; hunter saxton; component camassa; two component ... See more keywords