| 位势Burgers方程的对称及应用 |
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| 引用本文： | 王明亮.位势Burgers方程的对称及应用[J].兰州大学学报(自然科学版),1993,29(4):14-18. |
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| 作者姓名： | 王明亮 |
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| 作者单位： | 兰州大学数学系 兰州730000 |
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| 摘 要： | 首先，证明了位势Ｂｕｒｇｅｒｓ方程对称的一个递推公式；其次，通过对称构造出了Ｂｕｒｇｅｒｓ方程的自－Ｂａｃｋｌｕｎｄ变换，著名的Ｃｏｌｅ－Ｈｏｐｆ变换和一个有用的显式自－Ｂａｃｋｌｕｎｄ变换都是其特殊情形。
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| 关 键 词： | 对称 位势 伯格斯方程 |
Symmetries of Potential Burgers Equation and Their Applications |
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| Wang Mingliang.Symmetries of Potential Burgers Equation and Their Applications[J].Journal of Lanzhou University(Natural Science),1993,29(4):14-18. |
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| Authors: | Wang Mingliang |
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| Abstract: | In the present paper,a recursion formula for the symmetries of P-Burgersequation is proved.An auto-Backlund transformation(BT)of the Burgers equation isconstructed via the symmetries of P-Burgers equation;the well-known Cole-Hopf trans-formation and a usefully explicit auto-BT are all regarded as its special cases. |
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| Keywords: | P-Burgers equation symmetries applications auto-BT |
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