| SYMMETRIES AND GROUP-INVARIANT SOLUTIONS OF DIFFERENTIAL EQUATIONS |
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| 作者姓名： | TIAN CHOU |
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| 摘 要： | ＳＹＭＭＥＴＲＩＥＳＡＮＤＧＲＯＵＰ－ＩＮＶＡＲＩＡＮＴＳＯＬＵＴＩＯＮＳＯＦＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＴＩＡＮＣＨＯＵＡｂｓｔｒａｃｔ：Ｆｏｒａｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎ，ａｔｈｅｏｒｅｔｉｃａｌｐｒｏｏｆｏｆｔｈｅｒ...
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| 收稿时间： | 11 October 1993 |
Symmetries and group-invariant solutions of differential equations |
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| TIAN CHOU.SYMMETRIES AND GROUP-INVARIANT SOLUTIONS OF DIFFERENTIAL EQUATIONS[J].Applied Mathematics A Journal of Chinese Universities,1994,9(4):319-324. |
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| Authors: | Tian Chou |
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| Abstract: | For a differential equation, a theoretical proof of the relationship between the symmetry and the one-parameter invariant group is given; the relationship between symmetry and the group-invariant solution is presented.As an application,some solutions of the KdV equation are discussed. |
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| Keywords: | Invariant group symmetry group-invariant solution |
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