期刊
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
卷 19, 期 7, 页码 2324-2333出版社
ELSEVIER
DOI: 10.1016/j.cnsns.2013.11.015
关键词
4-Field Blaszak-Marciniak lattice equation; Discrete zero-curvature representation; Binary nonlinearization; Integrable symplectic map
类别
资金
- Nature Science Foundation of Shandong Province of China [ZR2012AQ015]
- Educational Department of Shandong Province of China [J12LI03]
Based on a new discrete 4 x 4 matrix spectral problem, a hierarchy of integrable 4-field Blaszak-Marciniak lattice equations with four potentials is constructed. Moreover, a new integrable symplectic map and its evolutive system of conserved integrals are obtained by the binary nonlinearization of spatial parts and the time parts of Lax pairs and their adjoint Lax pairs of the hierarchy. (C) 2013 Elsevier B. V. All rights reserved.
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