检索结果-南通市图书馆

Non-isospectral integrable couplings of Ablowitz-Kaup-Newell-Segur (AKNS) hierarchy with self-consistent sources

在线全文

学校读者我要写书评

暂无评论

Chinese Physics B 2008年第11期17卷 3965-3973页

作者：于发军李丽 College of Maths and Systematic Science Shenyang Normal University

A hierarchy of non-isospectral Ablowitz-Kaup-Newell-Segur （AKNS） equations with self-consistent sources is derived. As a general reduction case, a hierarchy of non-isospectral nonlinear SchrSdinger equations （NLSE） with selfconsistent sources is obtained. Moreover, a new non-isospectral integrable coupling of the AKNS soliton hierarchy with self-consistent sources is constructed by using the Kronecker product.

关键词： equations hierarchy self-consistent sources integrable couplings

integrable Rosochatius Deformations for an integrable couplings of CKdV Equation Hierarchy

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2010年第10期54卷 609-614页

作者：于发军李丽 College of Maths and Systematic Science Shenyang Normal University

We propose a method to construct the integrable Rosochatius deformations for an integrable couplingsequations *** applications, the integrable Rosochatius deformations of the coupled CKdV hierarchy withself-consistent... 详细信息

关键词： integrable couplings Rosochatius deformations soliton hierarchy

A New integrable Lattice Hierarchy and Its Two Discrete integrable couplings

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2008年第5期49卷 1114-1118页

作者： DONG Huan-He SONG Ming WANG Xue-Lei LI Jian-Jun College of Information Science and Engineering Shandong University of Science and Technology Qingdao 266510 China College of Information Science and Engineering Shandong Agricultural University Taian 271000 China Institute of Electronic Technology PLA Information Engineering University Zhengzhou 450004 China

A new and efficient way is presented for discrete integrable couplings with the help of two semi-direct sum Lie algebras. As its applications, two discrete integrable couplings associated with the lattice equation are worked out. The approach can be used to study other discrete integrable couplings of the discrete hierarchies of solition equations.

关键词： integrable lattice Lie algebra integrable couplings

New integrable couplings of Generalized Kaup-Newell Hierarchy and Its Hamiltonian Structures

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2011年第7期56卷 1-4页

作者：夏铁成张改莲范恩贵 Department of Mathematics Shanghai University Department of Mathematics Fudan University

A new isospectral problem is firstly presented, then we derive integrable system of soliton hierarchy. Also we obtain new integrable couplings of the generalized Kaup-Newell soliton equations hierarchy and its Hamiltonian structures by using Tu scheme and the quadratic-form identity. The method can be generalized to other soliton hierarchy.

关键词： 7the generalized Kaup-Newell hierarchy integrable couplings spectral problem

A Method for Obtaining integrable couplings

在线全文

学校读者我要写书评

暂无评论

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. Again via applying the superposition of the commuting operations of the Lie algebra, a commuting operation in R^6 is constructed so that R^6 becomes a Lie algebra. Thanks to the corresponding loop algebra R^3 of the Lie algebra R^3, the integrable coupling of the AKNS system is obtained. The method presented in this paper is rather simple and can be used to work out integrable coupling systems of the other known integrable hierarchies of soliton equations.

关键词： AKNS hierarchy integrable couplings Lie algebra

A New integrable couplings of Classical-Boussinesq Hierarchy with Self-Consistent Sources

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2010年第7期54卷 1-6页

作者：葛健芽夏铁成 Jinhua College of Profession and Technology Department of Mathematics Shanghai University

A kind of integrable couplings of soliton equations hierarchy with self-consistent sources associated with sl（4） is presented by Yu. Based on this method, we construct a new integrable couplings of the classical-Boussinesq hierarchy with self-consistent sources by using of loop algebra sl（4）. In this paper, we also point out that there exist some errors in Yu＇s paper and have corrected these errors and set up new formula. The method can be generalized other soliton hierarchy with self-consistent sources.

关键词： the classical-Boussinesq hierarchy self-consistent sources integrable couplings loop algebra

Matrix Lie Algebras and integrable couplings

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2006年第5X期46卷 812-818页

作者： ZHANG Yu-Feng GUO Fu-Kui Mathematical School Liaoning Normal University Dalian 116029 China Information School Shandong University of Science and Technology Qingdao 266510 China

Three kinds of higher-dimensional Lie algebras are given which can be used to directly construct integrable couplings of the soliton integrable systems. The relations between the Lie algebras are discussed. Finally, the integrable couplings and the Hamiltonian structure of Giachetti-Johnson hierarchy and a new integrable system are obtained, respectively.

关键词： Lie algebra integrable couplings GJ hierarchy

Two Types of Coupling integrable couplings of the S-mKdV Hierarchy

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2011年第2期55卷 209-212页

作者：魏媛张玉峰 Department of Mathematics and Information Science BinZhou University Binzhou 256600 China College of Science China University of Mining and Technology Xuzhou 221116 China

Firstly 4 Lie algebras are constructed. Then applications of the loop algebra are presented to obtain two types of coupling integrable couplings of the S-mKdV hierarchy by using Tu scheme. The coupling integrable couplings of the S-mKdV hierarchy obtained in the paper reduce to the coupling integrable couplings of the mKdV equation and the coupling integrable couplings of the nonlinear Schrodinger equation respectively. The method given in the paper can be used to other hierarchies generally.

关键词： Lie algebra integrable couplings S-mKdV hierarchy

The Double integrable couplings of Tu Hierarchy

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2007年第7期48卷 14-18页

作者： FENG Bin-Lu HAN Bo Department of Mathematics,Harbin Institute of Technology,Harbin 150001,ChinaWEI Yuan Department of Mathematics and Information,Binzhou University,Binzhou 256600,China Department of Mathematics Harbin Institute of Technology Harbin 150001 China Department of Mathematics and Information Binzhou University Binzhou 256600 China

Two types of Lie algebras are presented,from which two integrable couplings associated with the Tuisospectral problem are obtained,*** of them possesses the Hamiltonian structure generated by a linearisomorphism and the quadratic-form *** approach for working out the double integrable couplings of the sameintegrable system is presented in the paper.

关键词： Lie algebra integrable couplings isospectral problem Hamiltonian structure