| 组合KDV方程的新的相似约化 |
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| 引用本文： | 斯仁道尔吉.组合KDV方程的新的相似约化[J].内蒙古师范大学学报(自然科学版),1996(2):1-6. |
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| 作者姓名： | 斯仁道尔吉 |
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| 作者单位： | 内蒙古师范大学数学系 |
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| 摘 要： | 利用Ｃｌａｒｋｓｏｎ和Ｋｒｕｓｋａｌ等建立的直接方法，得到了组合ＫＤＶ方程的新的相似约化，并表明相似解所满足的常微分方程具有Ｐａｉｎｌｅｖｅ’性质．
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| 关 键 词： | KDV方程，相似约化，相似解，CK直接方法 |
NEW SIMILARITY REDUCTIONS FOR THECOMBINED KDV EQUATION |
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| Sirendaoreji.NEW SIMILARITY REDUCTIONS FOR THECOMBINED KDV EQUATION[J].Journal of Inner Mongolia Normal University(Natural Science Edition),1996(2):1-6. |
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| Authors: | Sirendaoreji |
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| Abstract: | Using the direct method introduced by Clarkson and Kruskal,we obtain thenew similarity reductions of the combined KdV equation.We also show that the ordinary dif ferential equation which is satisfied by the similarity solution possess the Painleve' property. |
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| Keywords: | KDV equation similarity reductions similarity solutions CK directmethod |
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