| 组合Kdv方程族的对易表示 |
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| 引用本文： | 刘春平,张世启.组合Kdv方程族的对易表示[J].徐州师范大学学报(自然科学版),1990(1). |
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| 作者姓名： | 刘春平 张世启 |
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| 作者单位： | 徐州师范学院数学系
(刘春平)，徐州师范学院数学系(张世启) |
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| 摘 要： | 本文通过研究一类特征值问题,导出了与之相联系的发展方程族,给出了该发展方程族的对易表示,并对该族中的一个方程——组合Kdv方程进行Painlcve分析,得到了Backlund变换。
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| 关 键 词： | 对易表示 Lenard序列 奇异流形 |
THE COMMUTATOR REPRESENTATION OF COMBINATORIAL KDV EQUATIONS |
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| Liu Chunping,Zhang Shiqi.THE COMMUTATOR REPRESENTATION OF COMBINATORIAL KDV EQUATIONS[J].Journal of Xuzhou Normal University(Natural Science Edition),1990(1). |
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| Authors: | Liu Chunping Zhang Shiqi |
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| Institution: | Liu Chunping Zhang Shiqi |
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| Abstract: | The developing equations were derived by studing a relative class of cigcn value problem, and the commutator representation of the developing equations was given. By means of Painlcve analysis we obtained the Backlund transform for combinatorial Kdv equation. |
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| Keywords: | commutator representation lenard sequence singularity manifold |
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