Journal
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS
Volume 8, Issue 5, Pages 496-506Publisher
INT SCIENTIFIC RESEARCH PUBLICATIONS
DOI: 10.22436/jnsa.008.05.05
Keywords
Discrete Hamiltonian structure; binary Bargmann symmetry constraint; finite-dimensional integrable system
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Funding
- Nature Science Foundation of China [61473177]
- Nature Science Foundation of Shandong Province of China [ZR2012AQ015, ZR2014AM001]
- Science and Technology plan project of Educational Department of Shandong Province of China [J12LI03]
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Based on the nonlinearization technique, a binary Bargmann symmetry constraint associated with a new discrete 3 x 3 matrix eigenvalue problem, which implies that there exist infinitely many common commuting symmetries and infinitely many common commuting conserved functionals, is proposed. A new symplectic map of the Bargmann type is obtained through binary nonlinearization of the discrete eigenvalue problem and its adjoint one. 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. (C) 2015 All rights reserved.
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