广义AKNS系统及其Darboux阵  

Generalized AKNS system and its Darboux matrix

作　　者：李宏恩 

机构地区：[1]郑州工业应用技术学院数学教研室,河南郑州451150

出　　处：《周口师范学院学报》2016年第2期48-50,共3页Journal of Zhoukou Normal University

摘　　要：超越AKNS系统的孤子方程难以用Darboux变换进行求解.针对此类情形,提出了广义AKNS系统的概念,通过Lax对的可积条件,证明了广义AKNS系统与AKNS系统有相同形式的Darboux阵λI-S.It is difficult to solve soliton equations beyond the AKNS system using Darboux transformation.For such situation,the concept of generalized AKNS system is proposed in this paper.By means of the integrable conditions of Lax pairs,we have proved that generalized AKNS system and AKNS system has the same form of Darboux matrixλI-S.

关 键 词：孤立子 LAX对 AKNS系统 广义AKNS系统 Darboux阵 

分 类 号：O175[理学—数学]