An integrable Hamiltonian hierarchy and associated integrable couplings system
Chen Xiao-Hong(陈晓红)a)†, Xia Tie-Cheng(夏铁成)b), and Zhu Lian-Cheng(朱连成)c)
a School of Science, University of Science and Technology Liaoning, Liaoning 114044, China; b Department of Mathematics, Shanghai University, Shanghai 200444, China; c School of Electronic and Information Engineering, University of Science and Technology Liaoning, Liaoning 114044, China
Abstract This paper establishes a new isospectral problem. By making use of the Tu scheme, a new integrable system is obtained. It gives integrable couplings of the system obtained. Finally, the Hamiltonian form of a binary symmetric constrained flow of the system obtained is presented.
Received: 28 November 2006
Revised: 29 December 2006
Accepted manuscript online:
Fund: Project supported by
the National Natural Science Foundation of China (Grant No~10371070), the
Special Funds for Major Specialities of Shanghai Educational
Committee and Science Foundation of Educational Committee of
Liaoning Province of China (Grant No~2004C057).
Cite this article:
Chen Xiao-Hong(陈晓红), Xia Tie-Cheng(夏铁成), and Zhu Lian-Cheng(朱连成) An integrable Hamiltonian hierarchy and associated integrable couplings system 2007 Chinese Physics 16 2493
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