Geodesic
Cauchy problem for a generalized weakly dissipative periodic two-component Camassa-Holm system
Electronic journal of differential equations, Tome 2014 (2014)
In this article, we study a generalized weakly dissipative periodic two-component Camassa-Holm system. We show that this system can exhibit the wave-breaking phenomenon and determine the exact blow-up rate of strong solution to the system. In addition, we establish a sufficient condition for having a global solution.
Classification : 35B44, 35B30, 35G25
Keywords: 35B44, 35B30, 35G25 
@article{EJDE_2014__2014__a139,
     author = {Chen,  Wenxia and Tian,  Lixin and Deng,  Xiaoyan},
     title = {Cauchy problem for a generalized weakly dissipative periodic two-component {Camassa-Holm} system},
     journal = {Electronic journal of differential equations},
     year = {2014},
     volume = {2014},
     zbl = {1297.35084},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a139/}
}
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AU  - Tian,  Lixin
AU  - Deng,  Xiaoyan
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PY  - 2014
VL  - 2014
UR  - http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a139/
LA  - en
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%0 Journal Article
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%A Tian,  Lixin
%A Deng,  Xiaoyan
%T Cauchy problem for a generalized weakly dissipative periodic two-component Camassa-Holm system
%J Electronic journal of differential equations
%D 2014
%V 2014
%U http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a139/
%G en
%F EJDE_2014__2014__a139
Chen,  Wenxia; Tian,  Lixin; Deng,  Xiaoyan. Cauchy problem for a generalized weakly dissipative periodic two-component Camassa-Holm system. Electronic journal of differential equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a139/