A Hierarchy of Lax Integrable Lattice Equations,Liouville Integrability and a New Integrable Symplectic Map |
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| Authors: | XU Xi-Xiang and ZHANG Yu-Feng |
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| Affiliation: | 1. Department of Basic Courses, Shandong University of Science and Technology, Taian 271019, China ;2. Institute of Mathematics, School of Information Science and Engineering, Shandong University of Science and Technology, Taian 271019, China |
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| Abstract: | A discrete matrix spectral problem and the associated hierarchy ofLax integrable lattice equations are presented, and it is shown thatthe resulting Lax integrable lattice equations are allLiouville integrable discrete Hamiltonian systems. A new integrablesymplectic map is given by binary Bargmann constraint of the resultinghierarchy. Finally, an infinite set of conservation laws is givenfor the resulting hierarchy. |
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| Keywords: | lattice soliton equation discrete Hamiltonian system Liouville integrability nonlinearization symplctic map conservation law |
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