A discrete spectral problem and related hierarchy of discrete Hamiltonian lattice equations

作者：Xu Xi Xiang^*; Cao Wei Li

来源：Communications in Theoretical Physics, 2007, 48(2): 193-198.

• lattice soliton equation
• zero curvature representation
• Hamiltonian structure
• Lionville integrability

Staring from a discrete matrix spectral problem, a hierarchy of lattice soliton equations is presented though discrete zero curvature representation. The resulting lattice soliton equations possess non-local Lax pairs. The Hamiltonian structures are established for the resulting hierarchy by the discrete trace identity. Liouville integrability of resulting hierarchy is demonstrated.

• 出版日期2007-8-15
• 单位山东大学