Integrable peakon systems with weak kink and kink-peakon interactional solutions |
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Authors: | Zhijun Qiao Baoqiang Xia |
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Institution: | 1. Department of Mathematics, University of Texas-Pan American, Edinburg, TX 78541, USA; 2. School of Mathematical Sciences, Jiangsu Normal University, Xuzhou 221116, China |
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Abstract: | We report two integrable peakon systems that have weak kink and kink-peakon interactional solutions. Both peakon systems are guaranteed integrable through providing their Lax pairs. The peakon and multi-peakon solutions of both equations are studied. In particular, the two-peakon dynamic systems are explicitly presented and their collisions are investigated. The weak kink solution is studied, and more interesting, the kink-peakon interactional solutions are proposed for the first time. |
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Keywords: | Integrable system Lax pair peakon weak kink kink-peakon |
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