An Integrable Symplectic Map of a Differential-Difference Hierarchy |
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Authors: | DONG Huan-He YI Fang-Jiao SU Jie LU Guo-Zhi |
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Affiliation: | 1. College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510, China;2. Shandong Province Mine Disaster Prevention and Control-Ministry of National Key Laboratories (Foster), Qingdao 266510, China |
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Abstract: | By choosing a discrete matrix spectral problem, a hierarchy of integrable differential-difference equations is derived from the discrete zero curvature equation, and the Hamiltonian structures are built. Through a higher-order Bargmann symmetry constraint, the spatial part and the temporal part of the Lax pairs and adjoint Lax pairs, which we obtained are respectively nonlinearized into a new integrable symplectic map and a finite-dimensional integrable Hamiltonian system in Liouville sense. |
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Keywords: | differential-difference equation binary nonlinearization integrable symplectic map |
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