三阶AKNS方程的孤子解与双Wronskian解之间的联系(英文)  

Soliton Solution for the Third-order AKNS Equation and its Relation with Double Wronskian Solutions

作　　者：罗嗣龙[1] 李玉奇[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3期72-76,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);National Science Foundation of Ningbo(2009B21003,2010A610103,2010A610095)

摘　　要：AKNS方程的孤子解完全可以用双朗斯基解来表示.笔者通过约束方法便捷地求出了它的多孤子解.同时证明了三阶AKNS方程的每个双朗斯基解都是不变流形的约束类型.It is widely believed that all of the soliton solutions of the AKNS are completely described by the double Wronskian solutions.In this paper,multi-soliton solutions can also be conveniently obtained using the method of constraint.Besides each double Wronskian solution of the third-order AKNS is of invariantmanifold constraint type will be proved.

关 键 词：AKNS方程 双朗斯基技术 不变流形的约束法 

分 类 号：O175.29[理学—数学]