Peakon Solutions to Supersymmetric Camassa-Holm Equation and Degasperis-Procesi Equation |
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| Authors: | LUO Lin XIA Bao-Qiang CAO Yu-Feng |
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| Institution: | 1. Department of Mathematics, Shanghai Second Polytechnic University, Shanghai 201209, China;
2. School of Mathematical Sciences, Jiangsu Normal University, Xuzhou 221116, China;
3. Department of Mathematics, University of Texas-Pan American, Edinburg, Texas 78541, USA |
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| Abstract: | In this paper,the supersymmetric Camassa-Holm equation and Degasperis-Procesi equation are derived from a general superfield equations by choosing different parameters.Their peakon-type solutions are shown in weak sense.At the same time,the dynamic behaviors are analyzed particularly when the two peakons collide elastically,and some results are compared with each other between the two equations. |
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| Keywords: | supersymmetric equation peakon solution dynamic behavior |
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