Binary Bargmann symmetry constraint associated with \(3\times 3\) discrete matrix spectral problem
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Authors
Xin-Yue Li
- College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, P. R. China.
Qiu-Lan Zhao
- College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, P. R. China.
Yu-Xia Li
- Shandong Key Laboratory for Robot and Intelligent Technology, Qingdao 266590, P. R. China.
Huan-He Dong
- College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, P. R. China.
Abstract
Based on the nonlinearization technique, a binary Bargmann symmetry constraint associated with a new
discrete \(3\times 3\) matrix eigenvalue problem, which implies that there exist infinitely many common commuting
symmetries and infinitely many common commuting conserved functionals, is proposed. A new symplectic
map of the Bargmann type is obtained through binary nonlinearization of the discrete eigenvalue problem
and its adjoint one. The generating function of integrals of motion is obtained, by which the symplectic
map is further proved to be completely integrable in the Liouville sense.
Share and Cite
ISRP Style
Xin-Yue Li, Qiu-Lan Zhao, Yu-Xia Li, Huan-He Dong, Binary Bargmann symmetry constraint associated with \(3\times 3\) discrete matrix spectral problem, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 5, 496--506
AMA Style
Li Xin-Yue, Zhao Qiu-Lan, Li Yu-Xia, Dong Huan-He, Binary Bargmann symmetry constraint associated with \(3\times 3\) discrete matrix spectral problem. J. Nonlinear Sci. Appl. (2015); 8(5):496--506
Chicago/Turabian Style
Li, Xin-Yue, Zhao, Qiu-Lan, Li, Yu-Xia, Dong, Huan-He. "Binary Bargmann symmetry constraint associated with \(3\times 3\) discrete matrix spectral problem." Journal of Nonlinear Sciences and Applications, 8, no. 5 (2015): 496--506
Keywords
- Discrete Hamiltonian structure
- binary Bargmann symmetry constraint
- finite-dimensional integrable system .
MSC
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