A three-parameter difference Hamiltonian operator, corresponding pair of Hamiltonian operators and a family of Liouville integrable lattice equations

作者：Xu Xi Xiang^*

来源：Communications in Nonlinear Science & Numerical Simulation, 2010, 15(5): 1116-1123.

DOI：10.1016/j.cnsns.2009.05.057

• Difference Hamiltonian operator
• Bi-Hamiltonian formulation
• Integrable lattice equation
• Liouville integrable
• Discrete zero curvature representation

A difference Hamiltonian operator involved three arbitrary real parameters is introduced. When these parameters in the difference Hamiltonian operator are properly chosen, we obtain a pair of difference Hamiltonian operators. Then, using Magri scheme of bi-Hamiltonian formulation, we construct a family of Liouville integrable lattice equations. Finally, the discrete zero curvature representation of obtained family is presented.

• 出版日期2010-5
• 单位山东大学