| WE延伸方法与Burger方程及其它几个方程的关系 |
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| 引用本文： | 陈德芳,邱荣.WE延伸方法与Burger方程及其它几个方程的关系[J].福州大学学报(自然科学版),1992(2):25-30. |
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| 作者姓名： | 陈德芳 邱荣 |
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| 作者单位： | 宁波师范学院
(陈德芳)，福州大学物理系(邱荣) |
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| 摘 要： | 反复应用WE延伸方法，沿着相关方程线索．从Burger方程出发，把Burger势，Burg- er热传导和一双线性方程联成一个整体．文中分析各相关方程解之间的关系，推广了Backlund变换(BT）概念，建立了外B cklund变换链，并举例说明．
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| 关 键 词： | WE延伸方法 赝势 Cole-Hopf变换(CHT) 双线性方程 外Backlund变换 |
Relation Among Burger's and Some Other Equations Studied Via WE Prolongation Method |
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| Chen Defang.Relation Among Burger''s and Some Other Equations Studied Via WE Prolongation Method[J].Journal of Fuzhou University(Natural Science Edition),1992(2):25-30. |
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| Authors: | Chen Defang |
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| Institution: | Chen Defang (Ningbo Normal College) Qiu Rong (Department or Physics, Fuzhou University) |
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| Abstract: | Starting from the Burger's Equation, and repeatedly using WE prologation meth- od via the relative equations, the Burger's potential the Burger's heat transmission, and the bilinear equations are combined as a whole. The relations among the solution of the relations equations are analysed, the notation of the Backlund Transformation generalized, the out- er Backlund Transformation chain established and some examples given. |
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| Keywords: | WE prolongation method pseudopotential Cole-Hopf-Transformation bilinear equation outer Backlund transformation |
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