摘要
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.
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.
基金
Supported by the National Science Foundation of China under Grant No. 11071092
the Texas Norman Hackerman Advanced Research Program under Grant No. 003599-0001-2009
