| 李-陈方程族及与其相联系的经典可积系统 |
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| 引用本文： | 周汝光.李-陈方程族及与其相联系的经典可积系统[J].徐州师范大学学报(自然科学版),1992(1). |
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| 作者姓名： | 周汝光 |
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| 作者单位： | 徐州师范学院体育系数学系 |
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| 摘 要： | 本文给出了一组产生李—陈特征值问题的保谱发展方程族的新的Lenard对,同时给出了发展方程族及每个方程的Lax对。然后通过Lax对非线性化,得到一族Liouvillc可积系统。
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| 关 键 词： | Lax对非线性化 可积系统 |
LI-CHEN'S EIGENVALUE PROBLEM AND AN ASSOCIATED CLASSICAL INTEGRABLE SYSTEM |
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| Zhou Ruguang.LI-CHEN''''S EIGENVALUE PROBLEM AND AN ASSOCIATED CLASSICAL INTEGRABLE SYSTEM[J].Journal of Xuzhou Normal University(Natural Science Edition),1992(1). |
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| Authors: | Zhou Ruguang |
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| Institution: | Zhou Ruguang |
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| Abstract: | In this paper, we first give a new Lenard pair for Li-Chen's eigenvalue problem. We defien an evolution equation hierarchy and discover the Lax pairs of each equation of this hierarchy. On this base, through the nonlinearization of Lax pair, we obtain a hierarchy Liouville completely integrable systems. |
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| Keywords: | Nonlinearization of Lax pair Integrable system |
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