基于约束和双朗斯基的二阶AKNS方程的孤子解研究（英文）  

Research on Constraint and Double Wronskian for the Second-order AKNS Equation's Soliton Solutions

作　　者：万云珍[1] 李玉奇[1] 罗嗣龙[1] 

机构地区：[1]宁波大学理学院,浙江宁波315211

出　　处：《宁波大学学报（理工版）》2013年第4期82-86,共5页Journal of Ningbo University：Natural Science and Engineering Edition

基　　金：Supported by the National Natural Science Foundation of China(11175092);Zhejiang Provincial Natural Science Foundation(R6090717);Ningbo Natural Science Foundation(2009B21003,2010A610103,2010A610095)

摘　　要：鉴于双朗斯基技术给出了二阶AKNS方程的双朗斯基解,而约束技术又可以得到AKNS方程族一切孤子解的情况,因此,通过双朗斯基行列式序列找出了这两类解之间的联系,并通过定理证明其满足由约束技术得到的约束序列,且双朗斯基解也满足相应的双朗斯基行列式序列.Based on the fact that the double Wronskian technique gives double Wronskian solutions of the second AKNS equation,and the restriction technique can be all soliton solution of the AKNS hierarchy of equations,the double Wronskian determinant sequence can be used to identify the link between these two types of solutions.The theorem proves that it meets constraint sequence by restriction technique,and the double Wronskian solution meets the corresponding sequence of the double Wronskian determinant.

关 键 词：AKNS方程 双朗斯基技术 孤子约束方法 

分 类 号：O175[理学—数学]