Local well-posedness and blow-up phenomenon for a generalization two-component Camassa–Holm system View Full Text


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Article Info

DATE

2019-03-25

AUTHORS

Yuhui Chen, Jingchi Huang, Wei Luo, Fang Yu

ABSTRACT

In this paper, a new generalized two-component Camassa–Holm system is derived via the energy variational approach. This system has two parameters which depend on the energy functional. The initial value problem is investigated. The local well-posedness is obtained when the initial density is away from vacuum. Taking advantage of the method of characteristics and the conservation laws, we prove the blow-up criteria. According to the blow-up criteria, we can prove the finite time blow-up result under some suitable condition. Moreover, we give some exact expression of traveling solutions. More... »

PAGES

1-29

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Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00028-019-00503-x

DOI

http://dx.doi.org/10.1007/s00028-019-00503-x

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https://app.dimensions.ai/details/publication/pub.1112988252


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