| 一个三维孤立子方程的B(a)cklund变换 |
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| 引用本文： | 张海清,黄迅成.一个三维孤立子方程的B(a)cklund变换[J].扬州职业大学学报,2006,10(1). |
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| 作者姓名： | 张海清 黄迅成 |
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| 摘 要： | 研究了一个三维的孤立子方程的B(a)cklund变换(BT)和非线性叠加公式,证明了文3,4]中的三维的B(a)cklund变换可以分解成三个二维的B(a)cklund变换,并讨论了一些与N维Liouville方程有关的问题.
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| 关 键 词： | B(a)cklund变换 孤立子方程 叠加公式 |
B(a)cklund Transformation for a Three Dimensional Soliton Equation |
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| ZHANG Hai-qing,HUANG Xun-cheng.B(a)cklund Transformation for a Three Dimensional Soliton Equation[J].Journal of Yangzhou Polytechnic College,2006,10(1). |
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| Authors: | ZHANG Hai-qing HUANG Xun-cheng |
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| Abstract: | The B(a)cklund transformation (BT) for a three dimensional soliton equation and its nonlinear superposition formula are studied in this paper. We prove that the three dimensional B(a)cklund transformation obtained in 3,4] can be decomposed into two dimensional BTs. We also discuss some related topics of the N dimensional Liouville equation. |
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| Keywords: | B(a)cklund transformation soliton equation superposition formula |
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