A Hierarchy of Integrable Lattice Soliton Equations and New Integrable Symplectic Map |
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| Authors: | SUN Ye-Peng CHEN Deng-Yuan XU Xi-Xiang |
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| Affiliation: | 1. Department of Mathematics, Shanghai University, Shanghai 200444, China;2. Collega of Science, Shandong University ofScience and Technology, Qingdao 266510, China |
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| Abstract: | Starting from a discrete spectral problem, a hierarchy of integrable lattice soliton equations is derived. It is shown that the hierarchy is completely integrable in the Liouville sense and possesses discrete bi-Hamiltonian structure. A new integrablesymplectic map and finite-dimensional integrable systems are givenby nonlinearization method. The binary Bargmann constraint givesrise to a Bäcklund transformation for the resultingintegrable lattice equations. At last, conservation laws of thehierarchy are presented. |
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| Keywords: | lattice soliton equation discrete Hamiltonian structure integrable symplectic map |
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