| Fission and Fusion of Solitons for the （1＋1）—Dimensional Kupershmidt Equation |
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| 引用本文： | YINGJin－Ping.Fission and Fusion of Solitons for the （1＋1）—Dimensional Kupershmidt Equation[J].理论物理通讯,2001,35(4):405-408. |
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| 作者姓名： | YINGJin－Ping |
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| 作者单位： | NingboBusinessTechnologySchool,Ningbo315012,China |
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| 摘 要： | By means of the heat conduction equation and the standard truncated Painleve 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.
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| 关 键 词： | 二维Kupershmidt方程 孤子解 孤子裂变 孤子聚变 |
| 收稿时间： | 2000-11-28 |
Fission and Fusion of Solitons
for the (1+1)-Dimensional Kupershmidt Equation |
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| YING Jin-Ping.Fission and Fusion of Solitons
for the (1+1)-Dimensional Kupershmidt Equation[J].Communications in Theoretical Physics,2001,35(4):405-408. |
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| Authors: | YING Jin-Ping |
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| Institution: | Ningbo Business Technology School, Ningbo 315012, China |
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| Abstract: | 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. |
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| Keywords: | truncated Painlevé expansion (1+1)-dimensional Kupershmidt equation resonant solitons soliton fission and fusion |
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