Journal
ANALYSIS AND MATHEMATICAL PHYSICS
Volume 6, Issue 3, Pages 237-254Publisher
SPRINGER BASEL AG
DOI: 10.1007/s13324-015-0116-2
Keywords
Discrete zero-curvature representation; Bargmann Constraints; Involutive solutions
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Funding
- Nature Science Foundation of China [61473177]
- Nature Science Foundation of Shandong Province of China [ZR2012AQ015]
- Science and Technology plan project of the Educational Department of Shandong Province of China [J12LI03]
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By means of the nonlinearization technique, a Bargmann constraint associated with a new discrete matrix eigenvalue problem is proposed, and a new symplectic map of the Bargmann type is obtained through binary nonlinearization of the discrete eigenvalue problem and its adjoint one. Moreover, the generating function of integrals of motion is obtained, by which the symplectic map is further proved to be completely integrable in the Liouville sense. Finally, the involutive representation of solutions are given.
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