| 带源的KP方程的Lax可积性 |
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| 引用本文： | 申亚丽.带源的KP方程的Lax可积性[J].重庆工学院学报,2007,21(13):89-91. |
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| 作者姓名： | 申亚丽 |
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| 作者单位： | 运城学院应用数学系,山西运城044000 |
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| 摘 要： | 利用一些双线性算子恒等式构造出带源的KP方程的双线性Bllcklund变换，然后从双线性Bllcklund变换得到带源的KP方程的Lax对，由此证明了带源的KP方程的Lax可积性．
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| 关 键 词： | 带源的KP方程 孤立子解 Lax对 双线性Bllcklund变换 |
| 文章编号： | 1671-0924（2007）07-0089-03 |
| 收稿时间： | 2007-04-05 |
Lax Integrality of KP Equation with Self-consistent Sources |
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| SHEN Ya-li.Lax Integrality of KP Equation with Self-consistent Sources[J].Journal of Chongqing Institute of Technology,2007,21(13):89-91. |
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| Authors: | SHEN Ya-li |
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| Affiliation: | Department of Applied Mathematical, Yuncheng University, Yuncheng 044000, China |
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| Abstract: | By using the bilinear operator identifies, this paper constructs the bilinear Bacldund transformation for the KP equation with self-consistent sources, obtains the Lax pair for the KP equation with self- consistent sources from the bilinear Bacldund transformation, and testifies the lax pair by the compatibility condition. |
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| Keywords: | KP equation with self-consistent source soliton solution Lax pair bilinear Bacldund transformation |
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