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

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DOI: 10.4236/jamp.2016.47138    1,417 Downloads   2,792 Views  
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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.

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Li, Y. and Zha, Q. (2016) Double-Peakon Solutions of Two Four-Component Camassa-Holm Type Equations. Journal of Applied Mathematics and Physics, 4, 1305-1310. doi: 10.4236/jamp.2016.47138.

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