| 组合Kdv方程的强对称、对称及其Lie代数 |
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| 引用本文： | 斯仁道尔吉.组合Kdv方程的强对称、对称及其Lie代数[J].内蒙古师范大学学报(自然科学版),1992(Z1). |
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| 作者姓名： | 斯仁道尔吉 |
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| 作者单位： | 内蒙古师大数学系 |
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| 摘 要： | 本文给出了mKdv 方程与组合Kdv 方程之间的一个变换,并利用变换与对称的关系得到了组合Kdv 方程的一个强对称(?),四组对称(?),(?)和(?),(?),以及(?),(?)所满足的Lie 代数关系。
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| 关 键 词： | 对称 强对称 遗传强对称 Lie 代数 Gateaux 导数 |
Strong Symmetry,Symmetry and Lie Algebra of the Combined Kdv Equation |
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| Sirendaoreji.Strong Symmetry,Symmetry and Lie Algebra of the Combined Kdv Equation[J].Journal of Inner Mongolia Normal University(Natural Science Edition),1992(Z1). |
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| Authors: | Sirendaoreji |
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| Institution: | Department of Mathematics |
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| Abstract: | In this article,a transformation between mKdV equation andcombined KdV equation are given,and using correspondence of the symmetries and the transformation a strong symmetry sum ~ ,four symmetries sum ~ _n,sum (?)_n,sum (?)_n and sum (?)_n of combined KdV equation are obtained.And the Lie algebraicrelation of the sum (?)_n and sum (?)_n are given. |
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| Keywords: | Symmetry Strong Symmetry Hereditary Symmetry Lie Algebra Gateaux-differential |
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