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《Mathematics in Practice and Theory》 2013-16
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A Hierarchy of Coupled Kaup-Newell Equations and the Associated Integrable Decomposition

JIANG Qiao-yun;YUAN Xing-hua;LV Xiao-guo;Department of Science,Nantong University;  
By introducing a 4 x 4 matrix spectral problem with four potentials,a hierarchy of nonlinear evolution equations are derived,an interesting equation in the hierarchy is a coupled Kaup-Newell equation.The 2-Hamiltonian structures are presented with the aid of the trace identity.Through the nonlinearization of eigen value problems and an additional constraint,a new integrable decomposition of the coupled Kaup-Newell equation is presented in the sense of Liouville.
【Fund】: 南通大学自然科学基金(10Z010)
【CateGory Index】: O175.29
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【Citations】
Chinese Journal Full-text Database 3 Hits
1 JIANG Qiao-yun,YUAN Xing-hua(School of Sciences,Nantong University,Nantong 226007,China);A Hierarchy of Coupled Kaup-Newell Equations and the Associated Integrable Hamiltonian System[J];Journal of Nantong University(Natural Science Edition);2011-03
2 CHEN Li,CHEN Yu-juan(School of Sciences,Nantong University,Nantong 226007,China);Uniform Blow-up Behavior for Nonlocal Reaction-Diffusion Equations[J];Journal of Nantong University(Natural Science Edition);2011-02
3 LIU Juan-juan,CHEN Yu-juan,CHEN Li (School of Sciences,Nantong University,Nantong 226007,China);Asymptotic Behavior of Large Solutions to a Class of Nonlinear Elliptic Equations[J];Journal of Nantong University(Natural Science Edition);2012-02
【Co-citations】
Chinese Journal Full-text Database 2 Hits
1 HU Hai-yan1,2,FENG Ying-ling1,Lü Xiao-guo1(1.School of Science,Nantong University,Nantong 226007,China;2.Jiangsu Jiangan Senior High School,Rugao 226534,China);The primary condition of the autoregression model on autocorrelation[J];Journal of Science of Teachers' College and University;2013-03
2 ZHANG Hai-xing;CHEN Yu-juan;SHI Jin-xin;School of Sciences, Nantong University;;Existence for a Class of p-Laplace Evolution Equation[J];Journal of Nantong University(Natural Science Edition);2013-03
【Secondary Citations】
Chinese Journal Full-text Database 2 Hits
1 MA WENXIU Department of Mathematics, University of South Florida, Tampa, FL33620-5700, USA. ZHOU RUGUANG Department of Mathematics, Xuzhou Normal University, Xuzhou 221009, China.;ADJOINT SYMMETRY CONSTRAINTS OF MULTICOMPONENT AKNS EQUATIONS[J];数学年刊B辑(英文版);2002-03
2 WANG Jian-xin,JIANG Li,ZHANG Xin-li(Department of Mathematics,Qingdao University of Science and Technology,Qingdao 266042,China);New Integrable Decompositions of the Multi-component AKNS Equation[J];Mathematica Applicata;2009-03
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