Integrable peakon systems with weak kink and kink-peakon interactional solutions  

作　　者：Zhijun QIAO Baoqiang XIA 

机构地区：[1]Department of Mathematics, University of Texas-Pan American, Edinburg, TX 78541, USA [2]School of Mathematical Sciences, Jiangsu Normal University, Xuzhou 221116, China

出　　处：《Frontiers of Mathematics in China》2013年第5期1185-1196,共12页中国高等学校学术文摘·数学（英文）

摘　　要：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.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.

关 键 词：Integrable system Lax pair PEAKON weak kink kink-peakon 

分 类 号：O175.29[理学—数学] TS712[理学—基础数学]