| （2＋1）维破碎孤子方程的约束分解和它的特殊解 |
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| 引用本文： | 程艺 贺劲松 等. （2＋1）维破碎孤子方程的约束分解和它的特殊解[J]. 中国科学技术大学学报, 2001, 31(1): 1-6 |
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| 作者姓名： | 程艺 贺劲松 等 |
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| 作者单位： | CHENG Yi（Department of Mathematics, USTC, Hefei 230026） HE Jing-song（Department of Mathematics, USTC, Hefei 230026） ZENG Xu-dong（Department of Mathematics, USTC, Hefei 230026） |
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| 基金项目： | The project supported byNSFC(9721504),NSFC(19971084) and National Basic resarch project of Nonlinear Science |
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| 摘 要： | 论文将一个（2＋1）维的破碎孤子方程分解成（1＋1）维的NLS和复MKdV的方程组。在这样的分解下，利用Darboux变换，可以获得原方程的孤子解。
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| 关 键 词： | 破碎孤子方程 分解 Darboux变换 孤子解 （2＋1）维 NLS方程 复MKdV方程 |
| 文章编号： | 0253-2778(2001)01-0001-06 |
| 修稿时间： | 2000-04-22 |
The (2+1) DimensionalBreaking Soliton Equation and Its Special Solutions |
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| CHENG Yi,HE Jing song,ZENG Xu dong. The (2+1) DimensionalBreaking Soliton Equation and Its Special Solutions[J]. Journal of University of Science and Technology of China, 2001, 31(1): 1-6 |
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| Authors: | CHENG Yi HE Jing song ZENG Xu dong |
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| Abstract: | It is shown that a non isospectral and (2 1) dimensional breaking soliton equation can be decomposed into the nonlinear system of NLS and complex MKdV equations. With this decomposition, exact solutions of the breaking soliton equation can be obtained in terms of Darboux transformation. |
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| Keywords: | breaking soliton equation decomposition Darboux transformation |
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