【摘要】 孤子理论的研究不断发展,在很多科学领域都存在孤立子以及与孤立子理论密切联系的问题,可积耦合系统是在研究无中心的Virasoro对称代数或孤立子方程时产生的。首先由离散零曲率方程可推导出一类新的可积晶格方程族,进而由离散迹恒等式建立一个获得系的双孤子哈密顿结构,最后证明获得系的刘维尔可积性。更多还原

【Abstract】 The research on soliton theory is developing in many scientific fields and there exists soliton and soliton theory closely related problems,integrable coupling system is in the center of the study without Virasoro algebra or symmetrically soliton equation.Firstly,discrete zero curvature equation is deduced,a new class of integrable lattice equation are then obtained by discrete trace identity established a system of double Hamiltonian structure,lastly,turned out to get the liouville integrability system.更多还原