| 周汝光,马文秀,王进利.双约束孤立子流的可积形变[J].数学年刊A辑,2011,32(2):161~172 |
| 双约束孤立子流的可积形变 |
| Integrable Deformations of Binary Constrained Soliton Flows |
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| DOI： |
| 中文关键词: 可积形变 双约束孤立子流 Neumann-Rosochatius系统 Wojciechowski系统 Lax表示 |
| 英文关键词:Integrable deformation Binary constrained soliton flow Neumann-Rosochatius system Wojciechowski system Lax representation |
| 基金项目:国家自然科学基金(No.10871165)资助的项目 |
| Author Name | Affiliation | E-mail | | ZHOU Ruguang | School of Mathematical Sciences,Xuzhou Normal University,Xuzhou 221116,Jiangsu,China. | rgzhou@public.xz.js.cn | | MA Wenxiu | Department of Mathematics and Statistics,University of South Florida,Tampa,FL 33620-5700,USA. | mawx@cas.usf.edu | | WANG Jinli | School of Mathematical Sciences,Xuzhou Normal University,Xuzhou 221116,Jiangsu,China. | wwwiam@163.com |
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| 中文摘要: |
| 提出了基于Lax矩阵的构造双约束孤立子流的可积形变的新方法. 作为应用, 导出了双约束KdV流和双约束mKdV流的可积形变,
并给出了这些形变的Lax表示、r-矩阵和守恒积分. |
| 英文摘要: |
| A direct method is presented for constructing integrable deformations of binary constrained soliton flows in the framework of Lax formulation.The integrable deformations of the binary constrained Korteweg-de Vries flows and the binary constrained modified Korteweg-de Vries
flow are computed explicitly, together with their Lax representations, r-matrix and conserved integrals. |
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