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检索条件"主题词=integrable coupling"
21 条 记 录,以下是1-10 订阅
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integrable coupling of KN Hierarchy and Its Hamiltonian Structure
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Communications in Theoretical Physics 2006年 第5期45卷 799-801页
作者: GUO Fu-Kui ZHANG Yu-Feng Information School Shandong University of Science and Technology Qingdao 266510 China
The Hamiltonian structure *** integrable couplings obtained by our method has not been solved. In this paper, the Hamiltonian structure of the KN hierarchy is obtained by making use of the quadratlc-form identity.
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Discrete integrable system and its integrable coupling
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Chinese Physics B 2009年 第3期18卷 850-855页
作者: 李柱 College of Mathematics and Information Science Xinyang Normal University
This paper derives new discrete integrable system based on discrete isospectral problem. It shows that the hierarchy is completely integrable in the Liouville sense and possesses bi-Hamiltonian structure. Finally, int... 详细信息
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On (2+1)-Dimensional Non-isospectral Toda Lattice Hierarchy and integrable coupling System
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Communications in Theoretical Physics 2008年 第3期49卷 549-554页
作者: YU Fa-Jun College of Maths and Systematic Science Shenyang Normal University Shenyang 110034 China Department of Mathematics Dalian University of Technology Dalian 116024 China
By considering (2+1)-dimensional non-isospectral discrete zero curvature equation, the (2+1)-dimensional non-isospectral Toda lattice hierarchy is constructed in this article. It follows that some reductions of ... 详细信息
来源: 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论
Liouville integrable System and Associated integrable coupling
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Communications in Theoretical Physics 2009年 第12期52卷 987-991页
作者: LI Zhu College of Mathematics and Information Science Xinyang Normal University Xinyang 464000 China
Liouville integrable discrete integrable system is derived based on discrete isospectral problem. It is shown that the hierarchy is completely integrable in the Liouville sense and possesses bi-Hamiltonian structure. ... 详细信息
来源: 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论
New DLW Hierarchy of an integrable coupling and Its Hamiltonian Structure
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Communications in Theoretical Physics 2011年 第6期55卷 1012-1016页
作者: 林长 林麦麦 College of Physics and Electronic Engineering Northwest Normal University
A type of higher-dimensionaJ loop algebra is constructed from which an isospectral problem is established. It follows that an integrable coupling, actually an extended integrable model of the existed solitary hierarch... 详细信息
来源: 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论
integrable coupling OF THE TC HIERARCHY OF EQUATIONS
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Annals of Differential Equations 2004年 第3期20卷 243-247页
作者: 郭福奎 张玉峰 School of Information Science and Engineering Shandong University of Science and TechnologyTaian 271019 School of Information Science and Engineering Shandong University of Science and TechnologyTaian 271019 Institute of Computational Mathematics and Scientific Engineering ComputingAcademia SinicaBeijing 100080 new loop algebra and a new Lax pair are constructed respectively. It follows that the integrable coupling of the TC hierarchy of equations which is also an expanding integrable model is obtained. Specially the integrable coupling of the famous KdV equation is presented.
A new loop algebra and a new Lax pair are constructed, respectively. It follows that the integrable coupling of the TC hierarchy of equations, which is also an expanding integrable model, is obtained. Specially, the i... 详细信息
来源: 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论
The Liouville integrable coupling system of the m-AKNS hierarchy and its Hamiltonian structure
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Chinese Physics B 2007年 第3期16卷 595-598页
作者: 岳超 杨耕文 许曰才 School of Information Engineering Talshan Medical University Taian 271016 China Editorial Department of Journal of Luoyang University Luoyang 471023 China School of Adult Education Shandong University of Science and Technology Talan 271000 China
In this paper a type of 9-dimensional vector loop algebra F is constructed, which is devoted to establish an isospectral problem. It follows that a Liouville integrable coupling system of the m-AKNS hierarchy is obtai... 详细信息
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TWO CLASSES OF integrable coupling FOR AKNS HIERARCHY
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Annals of Differential Equations 2009年 第4期25卷 495-501页
作者: Wencai Zhao (College of Science, Shandong University of Science and Technology, Qingdao 266510, Shandong) Ling Li (College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510, Shandong)
A set of new matrix Lie algebra is constructed, which is devoted to obtaining a new loop algebra A 2M . Then we use the idea of enlarging spectral problems to make an enlarged spectral problems. It follows that the mu... 详细信息
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THE FRACTIONAL QUADRATIC-FORM IDENTITY AND BI-HAMILTONIAN STRUCTURES OF AN integrable coupling OF THE FRACTIONAL COUPLED BURGERS HIERARCHY
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Annals of Differential Equations 2014年 第4期30卷 438-448页
作者: Dong Xia Tiecheng Xia Desheng Li Dept.of Math. Shenyang Normal University Dept.of Math. Shanghai University
Based on a general isospectral problem of fractional order and the fractional quadratic-form identity by Yue and Xia, the new integrable coupling of fractional coupled Burgers hierarchy and its fractional bi-Hamiltoni... 详细信息
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integrable couplings of Generalized Glachette-Johnson (GJ) Hierarchy
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Journal of Mathematical Research and Exposition 2004年 第1期24卷 37-43页
作者: 赵晶 张玉峰 大连大学信息工程学院 辽宁大连116622 山东科技大学信息学院 山东泰安271019
A new loop algebra G is established to obtain integrable coupling of GJ hierarchy. In particular, iiitegrable coupling of the well-known AKNS hierarchy is presented. This method can be used generally.
来源: 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论