A Hierarchy of Integrable Nonlinear Lattice Equations and New Integrable Symplectic Map*

Xu Xi-Xiang; Dong Huan-He

doi:10.1088/0253-6102/38/5/523

A Hierarchy of Integrable Nonlinear Lattice Equations and New Integrable Symplectic Map^*

Xu Xi-Xiang¹ and Dong Huan-He¹

© International Academic Publishers
Communications in Theoretical Physics, Volume 38, Number 5 Citation Xu Xi-Xiang and Dong Huan-He 2002 Commun. Theor. Phys. 38 523 DOI 10.1088/0253-6102/38/5/523

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¹ Department of Basic Courses, Shandong University of Science and Technology, Taian 271019, China

Dates

Received 19 March 2002

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Abstract

A discrete spectral problem is discussed, and a hierarchy of integrable nonlinear lattice equations related to this spectral problem is devised. The new integrable symplectic map and finite-dimensional integrable systems are given by nonlinearization method. The binary Bargmann constraint gives rise to a Bäcklund transformation for the resulting integrable lattice equations.

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*
The project supported by Scientific Research Award Foundation for Shandong Provincial Outstanding Young and Middle-Age Scientists