| Hirota-Satsuma方程的Pfaffian化 |
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| 引用本文： | 郭婷婷. Hirota-Satsuma方程的Pfaffian化[J]. 太原师范学院学报(自然科学版), 2011, 10(4): 43-45 |
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| 作者姓名： | 郭婷婷 |
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| 作者单位： | 山西大学商务学院,山西太原,030031 |
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| 摘 要： | Pfaffian是行列式的推广,有着比行列式更加广泛的性质.文章将Pfaffian化技巧应用到Hirota-Satsuma方程上,构造出相应的Wronskian型Pfaffian解,此时双线性型Hirota-Sat-suma方程将约化为Pfaffian恒等式,并导出相应的耦合系统.
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| 关 键 词： | Hirota-Satsuma方程 Pfaffian Hirota方法 耦合系统 |
Pfaffianization of the Hirota-Satsuma Equations |
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| Guo Tingting. Pfaffianization of the Hirota-Satsuma Equations[J]. Journal of Taiyuan Normal University:Natural Science Edition, 2011, 10(4): 43-45 |
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| Authors: | Guo Tingting |
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| Affiliation: | Guo Tingting(Business College of Shanxi University,Taiyuan 030031,China) |
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| Abstract: | A Pfaffian is obtained from a determinant,the properties of which are less than those of a Pfaffian.The pfaffianization procedure is applied to the Hirota-Satsuma equations,and Wronski-type Pfaffian solutions are presented.At the same time,we can change the bilinear Hirota-Satsuma equations into Pfaffian idendities.As a result,a bilinear coupled system is found. |
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| Keywords: | Hirota-Satsuma equations Pfaffian Hirota method coupled system |
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