A Family of Integrable Rational Semi-Discrete Systems and Its Reduction |
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Authors: | XU Xi-Xiang |
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Affiliation: | College of Science, Shandong University of Science and Technology,;Qingdao 266510, China |
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Abstract: | Within framework of zero curvature representation theory, a family of integrable rational semi-discrete systems is derived from a matrix spectral problem. The Hamiltonian forms of obtained semi-discrete systems are constructed by means of the discrete trace identity. The Liouville integrability for the obtained family is demonstrated. In the end, a reduced family ofobtained semi-discrete systems and its Hamiltonian form are worked out. |
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Keywords: | semi-discrete system discrete zero curvature equation Lax pair Hamiltonian form Liouville integrability |
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