Fission and Fusion of Solitons for the (1+1)-Dimensional Kupershmidt Equation
Fission and Fusion of Solitons for the (1+1)-Dimensional Kupershmidt Equation
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DOI：
10.1088/0253-6102/35/4/405
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发表时间：
2001-04
影响因子：
3.1
通讯作者：
Ying Jin-ping
中科院分区：
文献类型：
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作者：
Ying Jin-ping
利用热传导方程和标准的截断Painlevé展开，求解了（1+1）维Kupershirt方程.给出了一些有意义的精确多孤子解。特别是当多孤子相互作用时，我们发现单个的扭结孤子或钟形孤子可以分裂成多个扭结孤子或钟形孤子。然而，几个扭结孤子或钟形孤子也可以融合成一个扭结孤子或钟形孤子。
By means of the heat conduction equation and the standard truncated Painlevé expansion, the (1+1)-dimensional Kupershmidt equation is solved. Some significant exact multi-soliton solutions are given. Especially, for the interaction of the multi-solitons of the Kupershmidt equation, we find that a single (resonant) kink or bell soliton may be fissioned to several kink or bell solitons. Inversely, several kink or bell solitons may also be fused to one kink or bell soliton.