| 一类新的孤子方程族的换位表示 |
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| 引用本文： | 李录,冀振斌.一类新的孤子方程族的换位表示[J].山西大学学报(自然科学版),1997,20(2):136-141. |
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| 作者姓名： | 李录 冀振斌 |
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| 作者单位： | 山西大学数学系(李录)，太原经济干部管理学院(冀振斌) |
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| 摘 要： | 利用谱梯度方法，首先给出谱问题（１）的Ｌｅｎａｒｄ算子对，由此获得一类新的孤子方程族。之后，通过求解一个关键性算子方程，得到此类孤子方程族的换位表示
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| 关 键 词： | 谱梯度，Lenard算子对，换位表示 |
COMMUTATOR REPRESENTATION OF A NEWHIERARCHY OF THE SOLITON EQUATIONS |
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| Li Lu.COMMUTATOR REPRESENTATION OF A NEWHIERARCHY OF THE SOLITON EQUATIONS[J].Journal of Shanxi University (Natural Science Edition),1997,20(2):136-141. |
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| Authors: | Li Lu |
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| Abstract: | In this paper, by the spectral gradient method we first give the Lenard's operator pair of the spectral problem (1), and obtain a new hierarchy of the soliton equations. Then through resolving a key operator equation, we obtain the commutator representation of this hierarchy of the soliton equations. |
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| Keywords: | spectral gradient method Lenard's operator pair commutator representation |
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