负向等谱4位势 Ablowitz-Ladik 方程的类有理解

摘要

研究了负向等谱4位势 Ablowitz-Ladik 方程，给出满足矩阵方程的广义双 Casoratian 解。进一步地，将矩阵取成特殊的形式，导出了该方程的孤子解和类有理解。%In this paper,the generalized double Casoratian solutions whose entries satisfy matrix equation for a negative or-der isospectral four-potential Ablowitz-Ladik equation are presented.Moreover,the soliton solution and rational-like solu-tions are derived by letting the general matrix be some special cases.