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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| Institution: | 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 of
Lax integrable lattice equations are presented, and it is shown that
the resulting Lax integrable lattice equations are all
Liouville integrable discrete Hamiltonian systems. A new integrable
symplectic map is given by binary Bargmann constraint of the resulting
hierarchy. Finally, an infinite set of conservation laws is given
for 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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