【摘要】 基于一离散等谱问题建立起一族典型的非线性可积孤子方程族,同时给出了该孤子方程族的哈密顿结构,还证明了该孤立子方程族是刘维尔可积的,最后,也通过扩展的Lax对给出了该孤子方程族的可积耦合。更多还原

【Abstract】 Searching for new lattice equations is still an important and complicated task.A hierarchy of nonlinear integrable lattice soliton equations is derived from a discrete spectral problem in this paper,the lattice soliton equation is proposed as a typical lattice systems.The Hamiltonian structure and Liouville integrability for the corresponding lattice system is demonstrated.Finally,the integrable coupling systems of corresponding lattice systems are deduced through enlarging associated Lax pair.更多还原