| 一个能量与位势相依的二阶谱问题及其相关的发展方程族 |
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| 引用本文： | 张瑞君,刘亚峰.一个能量与位势相依的二阶谱问题及其相关的发展方程族[J].石家庄铁道学院学报(社会科学版),2016(4):105-108. |
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| 作者姓名： | 张瑞君 刘亚峰 |
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| 作者单位： | 河北工业大学 理学院;石家庄铁道大学 数理系 |
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| 摘 要： | 本文将研究一个二阶谱系及相关的非线性发展方程及其Hamilton系统，利用Lax对非线性化方法，讨论经典力学的Jacobi Ostrogradsky坐标，得到Bargmann约束下完全可积的 Hamilton系统，通过Bargmann约束，从而给出发展方程族解的对合表示。
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| 关 键 词： | 谱问题 Lax对非线性化 Bargmann约束 可积系统 |
| 收稿时间： | 2016/4/5 0:00:00 |
The Second order Spectral Problem of Energy Depended on Potential and Hierarchy of Evolution Equations |
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| Authors: | Zhang Ruijun and Liu Yafeng |
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| Institution: | School of Science,Hebei University of Technology;Department of Mathematics and Physics, Shijiazhuang Tiedao University |
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| Abstract: | In this paper, the nonlinear evolution equation and the Hamilton system related to a second order spectral problem are studied. Using the nonlinearization approach of Lax pairs, the Jacobi Ostrogradsky coordinates of classical mechanics is discussed. Finally the completely integrable Hamilton system can be obtained in the Bargmann constraint condition, and the involutive solutions of the evolution equations are given. |
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| Keywords: | spectral problem ninlinearization of Lax pairs Bargmann system integrable system |
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