| 广义Hamilton方程族的Lax对的变换及其在非线性化方法中的应用 |
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| 引用本文： | 徐西祥.广义Hamilton方程族的Lax对的变换及其在非线性化方法中的应用[J].山东科技大学学报(自然科学版),1999(1). |
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| 作者姓名： | 徐西祥 |
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| 作者单位： | 山东矿业学院基础部 |
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| 摘 要： | 给出了广义Ｈａｍｉｌｔｏｎ方程族的Ｌａｘ对的变换方法，指出了这种Ｌａｘ对的变换在非线性化方法中的应用，并且将ＴＤ族变换后的Ｌａｘ对与其共轭Ｌａｘ对的空间部分和时间部分都约束成为Ｌｉｏｕｖｉｌｅ可积的有限维完全可积系
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| 关 键 词： | ax对，非线性化，变换，Hamilton方程 |
Translation of the Lax pairs for Generized Hamiltonian Equations and Its Application in Nonlinearizaton Method |
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| Xu Xixiang.Translation of the Lax pairs for Generized Hamiltonian Equations and Its Application in Nonlinearizaton Method[J].Journal of Shandong Univ of Sci and Technol: Nat Sci,1999(1). |
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| Authors: | Xu Xixiang |
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| Institution: | Dept of Basic Courses. SIMT |
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| Abstract: | In this paper,we first present the translation of the Lax pairs for generized Hamiltonian equations.Then its application in nonlinearization mehtod is given.The spatial part and the temporal part of the translated Lax pairs and its adjoint Lax pairs of TD equations are all constrained as finite climensional liouville inegrable Hamiltonian systems. |
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| Keywords: | Lax pair nonlearization translation Hamiltonian equation |
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