Double-Peakon Solutions of Two Four-Component Camassa-Holm Type Equations - Engineering Information Institute

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Double-Peakon Solutions of Two Four-Component Camassa-Holm Type Equations [ICPDE 2016]
DOI: 10.4236/jamp.2016.47138 PP.1305 - 1310
Author(s)
Yuanli Li, Qilao Zha
ABSTRACT
This paper is contributed to study two new integrable four-component systems reduced from a multi-component generation of Camassa-Holm equation. Some double peakon solutions of both systems are described in an explicit formula by the method of variation of constant for ordinary differential equations. These double peakon solutions are established in weak sense. The dynamic behaviors of the obtained double peakon solutions are illustrated by some figures.
KEYWORDS
Peakon Solution, Dynamic Behavior, Four-Component CH Type Equation
References
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http://dx.doi.org/10.1111/sapm.12085
[4]
Geng, X.G. and Xue, B. (2011) A three-Component Generation of Camassa-Holm Equation with N-Peakon Solutions. Advances in Mathematics, 226, 827-839.
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[5]
Xia, B.Q. and Qiao, Z.J. (2015) Multi-Component Generalization of Camassa-Holm Equation. arXiv:1310.0268v2

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