A family of integrable differential-difference equations and its Bargmann symmetry constraint

作者：Xu, Xi-Xiang^*

来源：Communications in Nonlinear Science & Numerical Simulation, 2010, 15(9): 2311-2319.

DOI：10.1016/j.cnsns.2009.09.035

• Integrable differential-difference equations
• Bargmann symmetry constraint
• Symplectic map
• Finite-dimensional Hamiltonian system

A family of integrable differential-difference equations is constructed through discrete zero curvature equation. The Hamiltonian structures of the resulting differential-difference equations are established by the discrete trace identity. The Bargmann symmetry constraint of the resulting family is presented. Under this symmetry constraint, every differential-difference equation in the resulting family is factored by an integrable symplectic map and a finite-dimensional integrable system in Liouville sense.

• 出版日期2010-9
• 单位山东科技大学