A Hierarchy of Integrable Nonlinear Lattice Equations and New Integrable Symplectic Map |
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| Authors: | XU Xi-xiang DONG Huan-he |
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| Affiliation: | Department of Basic Courses, Shandong University of Science and Technology, Taian 271019, China Department of Basic Courses, Shandong University of Science and Technology, Taian 271019, China |
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| Abstract: | A discrete spectral problem is discussed, and a hierarchy of integrable nonlinear lattice equations related tothis spectral problem is devised. The new integrable symplectic map and finite-dimensional integrable systems are givenby nonlinearization method. The binary Bargmann constraint gives rise to a Backlund transformation for the resultingintegrable lattice equations. |
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| Keywords: | integrable lattice equation Hamiltonian system nonlinearization symplectic map Backlund transformation |
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