AKNS族的可积耦合系统的达布变换(英文)  

Darboux Transformation of Integrable Couplings of the AKNS Hierarchy

作　　者：扎其劳[1] 

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2012年第2期109-114,119,共7页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：Project Supported by the High Education Science Research Program of China(211034);the Natural Science Foundation of Inner Mongolia(2009MS0108);the High Education Science Research Program of Inner Mongolia(NJ10045)

摘　　要：利用一种系统的方法构造了AKNS族的可积耦合系统的N重达布变换.应用该达布变换获得了耦合AKNS系统中第一个非线性系统的新孤立波解.The N-fold Darboux transformation of integrable couplings of the AKNS hierarchy is constructed by using a systematic method.As an application of Darboux transformation,some new explicit solitary wave solutions of the first nonlinear system of integrable couplings in the AKNS case are given.

关 键 词：达布变换 可积耦合系统 孤立波解 

分 类 号：O175.29[理学—数学]