| 一类微分-差分方程组的内禀对称和等价群变换 |
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| 引用本文： | 叶余建,宋军全,沈守枫,庞加富.一类微分-差分方程组的内禀对称和等价群变换[J].纯粹数学与应用数学,2013(1):82-91. |
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| 作者姓名： | 叶余建 宋军全 沈守枫 庞加富 |
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| 作者单位： | 1. 杭州电子科技大学管理学院,浙江 杭州 310018
2. 浙江工业大学应用数学系,浙江 杭州 310028 |
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| 基金项目： | 国家自然科学基金(11001240) |
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| 摘 要： | 研究一类微分-差分方程组的对称和等价群变换.采取内禀的无穷小算子方法,给出了方程组的内禀对称和等价群变换.为结合抽象Lie代数结构,给方程完全分类提供了理论基础.
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| 关 键 词： | 内禀对称 等价群变换 微分-差分方程 |
Intrinsic symmetries and equivalence group transformations of differential-difference equations |
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| Ye Yujian,Song Junquan,Shen Shoufeng,Pang Jiafu.Intrinsic symmetries and equivalence group transformations of differential-difference equations[J].Pure and Applied Mathematics,2013(1):82-91. |
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| Authors: | Ye Yujian Song Junquan Shen Shoufeng Pang Jiafu |
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| Affiliation: | 1.School of Management,Hangzhou Dianzi University,Hangzhou 310018,China;2.Department of Applied Mathematics,Zhejiang University of Technology,Hangzhou 310023,China) |
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| Abstract: | In this paper, symmetries and equivalence group transformations of differential-difference equations are considered. By means of intrinsic infinitesimal operator method, intrinsic symmetries and equivalence group transformations are given out. These results provide the theoretical basis for group classification of equations with abstract Lie algebraic structures. |
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| Keywords: | intrinsic symmetry equivalence group transformation differential-difference equation |
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