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.
机构:
Department of Mathematics,Dalian University of Technology
School of Science,University of Science and Technology LiaoningDepartment of Mathematics,Dalian University of Technology
Xiaohong CHEN
Hongqing ZHANG
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Department of Mathematics,Dalian University of TechnologyDepartment of Mathematics,Dalian University of Technology
Hongqing ZHANG
Fucai YOU
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机构:
Department of Basic Sciences,Shenyang Institute of EngineeringDepartment of Mathematics,Dalian University of Technology
Fucai YOU
Daqing ZHANG
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机构:
School of Science,University of Science and Technology LiaoningDepartment of Mathematics,Dalian University of Technology
机构:
N China Elect Power Univ, Sch Business Adm, Beijing 102206, Peoples R ChinaN China Elect Power Univ, Sch Business Adm, Beijing 102206, Peoples R China
Yan Qing-You
Qi Jian-Xun
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N China Elect Power Univ, Sch Business Adm, Beijing 102206, Peoples R ChinaN China Elect Power Univ, Sch Business Adm, Beijing 102206, Peoples R China