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检索条件"主题词=AKNS hierarchy"
8 条 记 录,以下是1-10 订阅
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Hamiltonian Tri-Integrable Couplings of the akns hierarchy
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Communications in Theoretical Physics 2013年 第4期59卷 385-392页
作者: MENG Jing-Han MA Wen-Xiu Department of Mathematics and Statistics University of South Florida 4202 E. Fowler Avenue Tampa FL 33620 USA
We propose a systematic approach for generating Hamiltonian tri-integrable couplings of soliton hierarchies. The resulting approach is based on semi-direct sums of matrix Lie algebras consisting of 4× 4 block matrix ... 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
Constraints and Soliton Solutions for KdV hierarchy and akns hierarchy
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Communications in Theoretical Physics 2011年 第10期56卷 605-610页
作者: 李年华 李玉奇 Center for Nonlinear Science Ningbo University
It is well-known that the finite-gap solutions of the KdV equation can be generated by its recursion operator. We generalize the result to a special form of Lax pair,from which a method to constrain the integrable sys... 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
Solving the akns hierarchy by Its Bilinear Form: Generalized Double Wronskian Solutions
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Communications in Theoretical Physics 2008年 第2期49卷 401-408页
作者: YIN Fu-Mei SUN Ye-Peng CAI Fu-Qing CHEN Deng-Yuan Institute of Applied Mathematics Naval Aeronautical Engineering Institute Yantai 264001 China Institute of Computational Mathematics and Scientific Engineering Computing AMSS the Chinese Academy of Sciences P.O. Box 2719 Beijing 100080 China Research Institute of Information Fusion Naval Aeronautical Engineering Institute Yantai 264001 China Department of Mathematics Shanghai University Shanghai 200444 China
Through the Wronskian technique, a simple and direct proof is presented that the akns hierarchy in the bilinear form has generalized double Wronskian solutions. Moreover, by using a unified way, soliton solutions, rat... 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
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
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
Schroedinger Flows to Symmetric Spaces and the Second Matrix-akns Hierarchies
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Communications in Theoretical Physics 2006年 第4期45卷 653-656页
作者: CHEN Bing-Biao Institute of Mathematics Fudan University Shanghai 200433 China
This article gives a unified geometric interpretation of the second Matrix-akns hierarchies via Schroedinger flows to symmetric spaces of Kaehler and paraKaehler types.
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
A Method for Obtaining Integrable Couplings
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Communications in Theoretical Physics 2006年 第6期45卷 1000-1002页
作者: ZHANG Yu-Sen CHEN Wei LIAO Bo GONG Xin-Bo Department of Mathematics Shandong University at Weihai Weihai 264209 China School of Computer and Communication Hunan University Changsha 410082 China Information School Shandong University of Science and Technology Qingdao 266510 China
By making use of the vector product in R^3, a commuting operation is introduced so that R^3 becomes a Lie algebra. The resulting loop algebra R^-3 is presented, from which the well-known akns hierarchy is produced. Ag... 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
Non-Semisimple Lie Algebras of Block Matrices and Applications to Bi-Integrable Couplings
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Advances in Applied Mathematics and Mechanics 2013年 第5期5卷 652-670页
作者: Jinghan Meng Wen-Xiu Ma Department of Mathematics and Statistics University of South FloridaTampaFL 33620-5700USA
We propose a class of non-semisimple matrix loop algebras consisting of 3×3 block matrices,and form zero curvature equations from the presented loop algebras to generate bi-integrable *** are made for the akns solito... 详细信息
来源: 维普期刊数据库 维普期刊数据库 评论
Two expanding forms of a Lie algebra and their application
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Chinese Physics B 2003年 第6期12卷 581-585页
作者: 闫庆友 张玉峰 魏小鹏 CentreofAdvancedDesignTechnology DalianuniversityDalian116622China SchoolofMechanicalEngineering DalianuniversityofTechnologyDalian116024China InstituteofComputationMathematics AcademyofMathematicsandSystemsSciencesChineseAcademyofSciencesBeijing100080China SchoolofInformationScienceandEngineering ShandonguniversityofScienceandTechnologyTaian271019Chin CentreofAdvancedDesignTechnology DalianuniversityDalian116622China
With the help of a known Lie algebra, two new high order Lie algebras are constructed. It is remarkable that they have different constructing approaches. The first Lie algebra is constructed by the definition of integ... 详细信息
来源: 维普期刊数据库 维普期刊数据库 评论