| 双约束孤立子流的可积形变 |
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| 引用本文： | 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(中文版),2011,32(2):161-172. |
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| 作者姓名： | 周汝光 马文秀 王进利 |
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| 作者单位： | 徐州师范大学数学科学学院;Department of Mathematics and Statistics;University of South Florida;Tampa;FL 33620-5700; |
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| 基金项目： | 国家自然科学基金(No.10871165)资助的项目 |
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| 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.
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| 关 键 词： | 可积形变 双约束孤立子流 Neumann-Rosochatius系统 Wojciechowski系统 Lax表示 |
Integrable Deformations of Binary Constrained Soliton Flows |
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| ZHOU Ruguang,MA Wenxiu and WANG Jinli.Integrable Deformations of Binary Constrained Soliton Flows[J].Chinese Annals of Mathematics,2011,32(2):161-172. |
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| Authors: | ZHOU Ruguang MA Wenxiu and WANG Jinli |
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| Institution: | ZHOU Ruguang~1 MA Wenxiu~2 WANG Jinli~1 1 School of Mathematical Sciences,Xuzhou Normal University,Xuzhou 221116,Jiangsu,China. 2 Department of Mathematics and Statistics,University of South Florida,Tampa,FL 33620-5700,USA. |
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| Abstract: | 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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| Keywords: | Integrable deformation Binary constrained soliton flow Neumann-Rosochatius system Wojciechowski system Lax representation |
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