| MKdV和FPU方程的李点对称 |
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| 引用本文： | 白永强,薛红梅.MKdV和FPU方程的李点对称[J].数学杂志,2015,35(4):995-1004. |
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| 作者姓名： | 白永强 薛红梅 |
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| 作者单位： | 河南大学现代数学研究所, 河南 开封 475004;河南大学数学与统计学院, 河南 开封 475004,河南大学数学与统计学院, 河南 开封 475004 |
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| 基金项目： | 国家自然科学基金资助(10801045). |
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| 摘 要： | 本文研究了离散微分方程的李对称问题.利用差分方程的延拓方法和交换流方法,我们求得了若干重要的差分方程、微分差分方程的李对称,推广了对称性分析法在连续微分方程讨论时的结果.
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| 关 键 词： | 对称性 延拓 微分差分方程 差分方程 |
| 收稿时间： | 2014/10/5 0:00:00 |
| 修稿时间： | 2015/2/26 0:00:00 |
THE LIE SYMMETRY OF MKDV AND FPU EQUATIONS |
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| BAI Yong-qiang and XUE Hong-mei.THE LIE SYMMETRY OF MKDV AND FPU EQUATIONS[J].Journal of Mathematics,2015,35(4):995-1004. |
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| Authors: | BAI Yong-qiang and XUE Hong-mei |
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| Institution: | Institute of Contemporary Mathematics, Henan University, Kaifeng 475004, China;School of Mathematics and Statistics, Henan University, Kaifeng 475004, China and School of Mathematics and Statistics, Henan University, Kaifeng 475004, China |
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| Abstract: | In this paper,we discuss the Lie symmetry of discrete differential equations.By means of the prolonging method and the commuting flows method,we obtain the Lie symmetry of some important different equations and differential-difference equations,which extends the results in the case of continuous differential equations. |
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| Keywords: | symmetry prolongation differential-difference equation difference equation |
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